Associate Professor Brailey Sims

Honorary Associate Professor

School of Information and Physical Sciences (Mathematics)

Email:brailey.sims@newcastle.edu.au
Phone:(02) 4921 5540

Career Summary

Biography

Research Expertise
Sims' broad area of research is functional and nonlinear analysis, in which he has published over 60 refereed research papers in major international journals. More specifically his interest and expertise is in geometry in both Banach spaces and convex metric spaces, attainment problems and the use of embedding techniques (for example, embedding into ultrapowers) for solving such problems. His investigations have included attainment problems associated with boundary points of operator numerical ranges, and more recently the attainment of fixed points by various classes of mappings. Nonlinear optimization and control leads to variational inequalities and hence to fixed points. Equilibria of dynamical systems correspond to fixed points, whose approximability relate to the stability and ergodic behaviour of the system. The research aims to further our understanding of nonexpansive type mappings, with an emphasis on establishing easily verified, yet widely applicable, criteria for the existence of a fixed together with effective iterative algorithms for their approximation. Of particular interest are the little understood cases where the underlying space admits no natural linear structure or nice geometry, so the usual tools of convex analysis are inapplicable. Geodesic metric spaces and notions of hyperbolicity are a fertile setting for investigations while ultraproduct methods provide powerful techniques.

Teaching Expertise
Sims has taught undergraduate courses in most areas of pure mathematics, and some in applied mathematics; in particular mathematical modelling in the life sciences, operations research and optimization. These have been at all levels; pre-undergraduate to honours and to students of all ability levels.

Administrative Expertise
Head of Department/School Deputy President of Academic Senate Member of numerous selection and diverse other University Committies.

Qualifications

PhD, University of Newcastle
Bachelor of Science, University of Newcastle
Bachelor of Science (Honours), University of Newcastle

Keywords

All areas at undergraduate level
At all levels
Banach space geometry
Functional Analysis
Functional analysis at graduate level
Metric fixed point theory
Nonlinear Analysis
Ultraproducts of metric and Banach space

Professional Experience

Academic appointment

Dates	Title	Organisation / Department
1/1/1995 -	Membership - Australian mathematical society	Australian mathematical society Australia

Membership

Dates	Title	Organisation / Department
	Assistant Editor	Journal of Fixed Point Theory and Applications Australia
	Associate Editor - Jourenal of Nonlinear Analysis - Theory, Methods and Applications	Jourenal of Nonlinear Analysis - Theory, Methods and Applications Australia
	Assistant Editor - Journal of Mathematical Analysis and Applications	Journal of Mathematical Analysis and Applications Australia

Professional appointment

Dates	Title	Organisation / Department
1/1/2000 - 1/1/2030	Associate Editor Bulletin	Australian mathematical society Australia

Invitations

Participant

Year	Title / Rationale
2005	7th International Conference on Fixed point Theory and Applications Organisation: CIMAT Description: Member of Scientific Committee Member of Organizing Committee Editor of Proceedings Keynote speaker

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Publications

For publications that are currently unpublished or in-press, details are shown in italics.

Book (2 outputs)

Year	Citation	Altmetrics	Link
2020	Bailey DH, Borwein NS, Brent RP, Burachik RS, Osborn J-AH, Sims B, Zhu QJ, From Analysis to Visualization A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017, Springer, 439 (2020)
2001	Kirk WA, Sims B, Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dortrecht/Boston/London, 702 (2001) [A3]		Nova

Chapter (6 outputs)

Year

Citation

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2013

Kozlowski WM, Sims B, 'On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces', Computational and Analytical Mathematics, Springer, New York 463-484 (2013) [B1]

DOI	10.1007/978-1-4614-7621-4_22
Citations	Scopus - 7

2011

Borwein JM, Sims B, 'The Douglas-Rachford algorithm in the absence of convexity', Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, New York 93-109 (2011) [B1]

DOI	10.1007/978-1-4419-9569-8_6
Citations	Scopus - 48Web of Science - 38

2001

Sims AD, Sims B, 'Assessing the minimality of change in belief revision: capacities', Frontiers in Belief Revision, Kluwer Academic Publishers, Dortrecht/Boston/London 163-177 (2001) [B1]

2001

Sims B, 'Examples of fixed point free mappings', Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dortrecht/Boston/London 35-48 (2001) [B1]

2001

Khamsi MA, Sims B, 'Ultra-methods in fixed point theory', Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dortrecht/Boston/London 177-199 (2001) [B1]

2001

Chen S, Cui Y, Hudzik H, Sims B, 'Geometric properties related to fixed point theory in some Banach function lattices', Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dortrecht/Boston/London 339-389 (2001) [B1]

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Journal article (57 outputs)

Year

Citation

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2021

Benavides TD, Sims B, Tammer C, Xu HK, 'Preface', Optimization, 70 899 (2021)

DOI	10.1080/02331934.2021.1890905

2021

Lindstrom SB, Sims B, 'Survey: Sixty Years of Douglas-Rachford', Journal of the Australian Mathematical Society, 110 333-370 (2021) [C1]

DOI	10.1017/S1446788719000570
Citations	Scopus - 9Web of Science - 4

2019

Dalby T, Sims B, 'Weakly orthogonal Banach lattices with uniformly monotone norm are uniformly opial', Journal of Nonlinear and Convex Analysis, 20 2013-2017 (2019)

In 2005 Dalby and Sims showed that a weakly orthogonal Banach lattice with uniformly monotone norm satisfies Opial's condition. This short paper improves this result by showi... [more]

In 2005 Dalby and Sims showed that a weakly orthogonal Banach lattice with uniformly monotone norm satisfies Opial's condition. This short paper improves this result by showing that these Banach lattices satisfy the stronger uniform Opial's condition.

2019

Lamichhane BP, Lindstrom SB, Sims B, 'APPLICATION OF PROJECTION ALGORITHMS TO DIFFERENTIAL EQUATIONS: BOUNDARY VALUE PROBLEMS', ANZIAM JOURNAL, 61 23-46 (2019) [C1]

DOI	10.1017/S1446181118000391
Citations	Scopus - 5Web of Science - 5
Co-authors	Bishnu Lamichhane

2018

Castillo-Sántos FE, Dowling PN, Fetter H, Japón M, Lennard CJ, Sims B, Turett B, 'Near-infinity concentrated norms and the fixed point property for nonexpansive maps on closed, bounded, convex sets', Journal of Functional Analysis, 275 559-576 (2018) [C1]

DOI	10.1016/j.jfa.2018.04.007
Citations	Scopus - 5

2018

Borwein JM, Lindstrom SB, Sims B, Schneider A, Skerritt MP, 'Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres', SET-VALUED AND VARIATIONAL ANALYSIS, 26 385-403 (2018) [C1]

DOI	10.1007/s11228-017-0457-0
Citations	Scopus - 16Web of Science - 12

2017

Lindstrom SB, Sims B, Skerritt MP, 'COMPUTING INTERSECTIONS OF IMPLICITLY SPECIFIED PLANE CURVES', JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 18 347-359 (2017) [C1]

Citations	Scopus - 7Web of Science - 5

2016

Sims B, Bendit T, 'The structure of the norned lattice generated by the closed bounded convex subsets of a normed space', Journal of Nonlinear and Convex Analysis, 17 1069-1081 (2016) [C1]

Citations	Scopus - 1Web of Science - 1

2015

Soleimani H, Vaezpour SM, Asadi M, Sims B, 'Fixed point and endpoints theorems for set-valued contraction maps in cone metric spaces', Journal of Nonlinear and Convex Analysis, 16 2499-2505 (2015)

Wardowski [D. Wardowski, End points and fixed points of set-valued contractions in cone metric spaces, J. Nonlinear Analysis, doi:10.1016 j.na.2008. 10.089] introduced the concept... [more]

Wardowski [D. Wardowski, End points and fixed points of set-valued contractions in cone metric spaces, J. Nonlinear Analysis, doi:10.1016 j.na.2008. 10.089] introduced the concept of set-valued contractions in cone metric spaces and proved some theorems in normal cone metric spaces. In this work we prove a theorem for nonexpansive set valued maps and by omitting the assumption of normality in some results we generalize some end point and fixed point theorems for set-valued maps.

Citations	Scopus - 1

2015

Borwein JM, Sims B, Tam MK, 'Norm convergence of realistic projection and reflection methods', Optimization, 64 161-178 (2015) [C1]

We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.... [more]

We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.

DOI	10.1080/02331934.2014.947499
Citations	Scopus - 10Web of Science - 10

2014

Borwein D, Borwein JM, Sims B, 'On the Solution of Linear Mean Recurrences', AMERICAN MATHEMATICAL MONTHLY, 121 486-498 (2014) [C1]

DOI	10.4169/amer.math.monthly.121.06.486
Citations	Scopus - 4Web of Science - 5

2012

Bacak M, Searston IJ, Sims B, 'Alternating projections in CAT(0) spaces', Journal of Mathematical Analysis and Applications, 385 599-607 (2012) [C1]

Citations	Scopus - 36Web of Science - 30

2012

Cui Y, Hudzik H, Sims B, 'Properties (UÃ2)* and (WÃ2) in Orlicz spaces and some of their consequences', Journal of Mathematical Analysis and Applications, 387 400-409 (2012) [C1]

2011

Khandani H, Vaezpour SM, Sims B, 'Common fixed points of generalized multivalued contraction on complete metric spaces', Journal of Computational Analysis and Applications, 13 1025-1038 (2011) [C1]

Citations	Scopus - 6Web of Science - 6

2010

Goebel K, Sims B, 'Mean Lipschitzian mappings', Contemporary Mathematics, 513 157-167 (2010) [C1]

DOI	10.1090/conm/513
Citations	Web of Science - 17

2009

Mustafa Z, Sims B, 'Fixed point theorems for contractive mappings in complete G-metric spaces', Fixed Point Theory and Applications, 9 1-10 (2009) [C1]

DOI	10.1155/2009/917175
Citations	Scopus - 253Web of Science - 221

2006

Dhompongsa S, Kirk WA, Sims B, 'Fixed points of uniformly lipschitzian mappings', Nonlinear Analysis-Theory Methods & Applications, 65 762-772 (2006) [C1]

DOI	10.1016/j.na.2005.09.044
Citations	Scopus - 296Web of Science - 250

2006

Mustafa ZY, Sims B, 'A new approach to generalized metric spaces', Journal of Nonlinear and Convex Analysis, 7 289-297 (2006) [C1]

Citations	Web of Science - 536

2005

Kirk WA, Sims B, 'An ultrafilter approach to locally almost nonexpansive maps', Nonlinear Analysis, Theory, Methods and Applications, 63 e1241-e1251 (2005) [C1]

DOI	10.1016/j.na.2004.10.017
Citations	Scopus - 4Web of Science - 5

2003

Dominguez T, Hudzik H, Lopez G, Mastylo M, Sims B, 'Complete characterizations of Kadec-Klee properties in Orlicz spaces', HOUSTON JOURNAL OF MATHEMATICS, 29 1027-1044 (2003)

Citations	Scopus - 35Web of Science - 30

2003

Tomas D, Genaro L, Henryk H, Mastylo M, Sims B, 'Complete characterization of Kadec-Klee properties in Orlicz spaces', Houston Journal of Mathematics, 29 1027-1044 (2003) [C1]

2002

Li G, Sims B, 'Fixed point theorems for mappings of asymptotically nonexpansive type', Nonlinear Analysis, 50 1085-1091 (2002) [C1]

Citations	Scopus - 9Web of Science - 9

2001

Sims B, Xu H-K, 'Locally almost nonexpansive mappings', Communications on Applied Nonlinear Analysis, 8 81-88 (2001) [C1]

2001

Kirk WA, Sims B, 'Uniform normal structure and related notions', Journal of Nonlinear and Convex Analysis, 2 129-138 (2001) [C1]

2000

Kirk WA, Sims B, Yuan GX-Z, 'The Knaster-Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications', Nonlinear Analysis, 39 611-627 (2000) [C1]

Citations	Scopus - 50Web of Science - 40

2000

Park S, Sims B, 'Remarks on fixed point theorems in hyperconvex spaces', Nonlinear Funct. Anal. & Appl., 5 51-64 (2000) [C1]

1999

Sims B, Smyth MA, 'On some Banach space properties sufficient for weak normal structure and their permanence properties', TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 351 497-513 (1999)

DOI	10.1090/S0002-9947-99-01862-0
Citations	Scopus - 24Web of Science - 22

1999

Kirk WA, Sims B, 'Convergence of Picard Iterates of Nonexpansive Mappings', Bulletin of the Polish Academy of Sciences Mathematics, 47 147-155 (1999) [C1]

1999

Sims B, Yu H-K, Yuan GX-Z, 'The homotopic invariance for fixed points of set-valued nonexpansive mappings', Josai Mathematical Monograph, 1 55-65 (1999) [C1]

1998

Llorens-Fuster E, Sims B, 'The Fixed Point property in $c_0$', Canadian Mathematical Bulletin, 41 413-422 (1998) [C1]

Citations	Scopus - 13Web of Science - 12

1998

Garcia-Falset J, Llorens-Fuster E, Sims B, 'Fixed point theory for almost convex functions', Nonlinear Analysis. Theory Methods and Applications, 32 601-698 (1998) [C1]

Citations	Scopus - 16Web of Science - 13

1997

Falset JG, Sims B, 'Property (M) and the weak fixed point property', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 125 2891-2896 (1997)

DOI	10.1090/S0002-9939-97-03953-1
Citations	Scopus - 18Web of Science - 8

1996

Dalby T, Sims B, 'Duality map characterisations for Opial conditions', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 53 413-417 (1996)

DOI	10.1017/S0004972700017160
Citations	Scopus - 6Web of Science - 5

1996

Kirk WA, Sims B, 'Nonlinear isometries in superreflexive spaces', JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 201 247-251 (1996)

DOI	10.1006/jmaa.1996.0253

1996

GarciaFalset J, Sims B, Smyth MA, 'The demiclosedness principle for mappings of asymptotically nonexpansive type', HOUSTON JOURNAL OF MATHEMATICS, 22 101-108 (1996)

Citations	Scopus - 16Web of Science - 18

1995

Sims B, Smyth M, 'On non-uniform conditions giving weak normal structure', Quaestiones Mathematicae, 18 9-19 (1995)

Several non-uniform conditions sufficient for weak normal structure have recently been introduced. We show that some of these are in fact equivalent and also utilize them in appli... [more]

Several non-uniform conditions sufficient for weak normal structure have recently been introduced. We show that some of these are in fact equivalent and also utilize them in applications towards a 3-space property for weak normal structure, thereby improving on earlier results. © 1995 Taylor & Francis Group, LLC.

DOI	10.1080/16073606.1995.9631786
Citations	Scopus - 12

1994

SIMS B, 'A CLASS OF SPACES WITH WEAK NORMAL STRUCTURE', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 49 523-528 (1994)

DOI	10.1017/S0004972700016634
Citations	Scopus - 54Web of Science - 38

1993

KUTZAROVA D, PRUS S, SIMS B, 'REMARKS ON ORTHOGONAL CONVEXITY OF BANACH-SPACES', HOUSTON JOURNAL OF MATHEMATICS, 19 603-614 (1993)

Citations	Web of Science - 10

1992

SIMS B, 'THE WEAK KARLOVITZ LEMMA FOR DUAL LATTICES', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 45 171-176 (1992)

DOI	10.1017/S0004972700037126
Citations	Scopus - 3Web of Science - 2

1990

GILES JR, SIMS B, YORKE AC, 'ON THE DROP AND WEAK DROP PROPERTIES FOR A BANACH-SPACE', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 41 503-507 (1990)

DOI	10.1017/S0004972700018384
Citations	Scopus - 18Web of Science - 15

1989

SIMS B, YOST D, 'LINEAR HAHN-BANACH EXTENSION OPERATORS', PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 32 53-57 (1989)

DOI	10.1017/S0013091500006908
Citations	Scopus - 29Web of Science - 27

1986

DAS KC, MAJUMDAR S, SIMS B, 'SUBSETS CHARACTERIZING THE CLOSURE OF THE NUMERICAL RANGE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 40 1-4 (1986)

DOI	10.1017/S1446788700026458

1985

GILES JR, SIMS B, SWAMINATHAN S, 'A GEOMETRICALLY ABERRANT BANACH-SPACE WITH NORMAL STRUCTURE', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 31 75-81 (1985)

DOI	10.1017/S0004972700002288
Citations	Scopus - 7Web of Science - 3

1985

MAJUMDAR S, SIMS B, 'SUBSPACES ASSOCIATED WITH BOUNDARY POINTS OF THE NUMERICAL RANGE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 39 21-27 (1985)

DOI	10.1017/S1446788700022138

1984

BERG ID, SIMS B, 'DENSENESS OF OPERATORS WHICH ATTAIN THEIR NUMERICAL RADIUS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 36 130-133 (1984)

DOI	10.1017/S1446788700027385
Citations	Web of Science - 23

1984

BORWEIN JM, SIMS B, 'NON-EXPANSIVE MAPPINGS ON BANACH-LATTICES AND RELATED TOPICS', HOUSTON JOURNAL OF MATHEMATICS, 10 339-356 (1984)

Citations	Web of Science - 43

1983

POLAK T, SIMS B, 'A BANACH-SPACE WHICH IS FULLY 2-ROTUND BUT NOT LOCALLY UNIFORMLY ROTUND', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 26 118-120 (1983)

DOI	10.4153/CMB-1983-018-7
Citations	Web of Science - 4

1983

VANDULST D, SIMS B, 'FIXED-POINTS OF NONEXPANSIVE-MAPPINGS AND TSCHEBYSCHEV CENTERS IN BANACH-SPACES WITH NORMS OF TYPE-(KK)', LECTURE NOTES IN MATHEMATICS, 991 35-43 (1983)

Citations	Web of Science - 44

1979

Dancer EN, Sims B, 'Weak star separability', Bulletin of the Australian Mathematical Society, 20 253-257 (1979)

For a Banach space X, Susumu Okada raised the question of whether the unit hall of the dual space X* is weak* separable if X* is weak* separable. The problem occurred in the theor... [more]

For a Banach space X, Susumu Okada raised the question of whether the unit hall of the dual space X* is weak* separable if X* is weak* separable. The problem occurred in the theory of manifolds modelled on locally convex spaces. We answer the question in the negative but show that it is true for particular types of spaces. © 1979, Australian Mathematical Society. All rights reserved.

DOI	10.1017/S0004972700010935
Citations	Scopus - 13

1978

GILES JR, GREGORY DA, SIMS B, 'GEOMETRICAL IMPLICATIONS OF UPPER SEMI-CONTINUITY OF THE DUALITY MAPPING ON A BANACH-SPACE', PACIFIC JOURNAL OF MATHEMATICS, 79 99-109 (1978)

DOI	10.2140/pjm.1978.79.99
Citations	Scopus - 49Web of Science - 44

1978

Giles JR, 'Characterisation of normed linear spaces with Mazur's intersection property', Bull.Aust.Math.Soc., 18 105-123 (1978)

Citations	Scopus - 57

1977

Sims B, 'On the existence of support maps with dense images', Journal of the Australian Mathematical Society, 23 504-510 (1977)

For a normed linear space X we investigate conditions for the existence of support maps under which the image of X is a dense subset of the dual. In the case of finite-dimensional... [more]

For a normed linear space X we investigate conditions for the existence of support maps under which the image of X is a dense subset of the dual. In the case of finite-dimensional spaces a complete answer is given. For more general spaces some sufficient conditions are obtained. © 1977, Australian Mathematical Society. All rights reserved.

DOI	10.1017/S1446788700019650

1974

SIMS B, 'CONNECTION BETWEEN NUMERICAL RANGE AND SPECTRUM OF AN OPERATOR ON A HILBERT-SPACE', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 8 57-59 (1974)

Citations	Scopus - 6Web of Science - 6

1972

Giles JR, 'On the numerical range of compact operators on Hilbert spaces', J.Lond.Math.Soc., 5 704-706 (1972)

1972

Leuschen JE, Sims BT, 'Stronger forms of connectivity', Rendiconti del Circolo Matematico di Palermo, 21 255-266 (1972)

This paper is a comparative study of stronger forms of connectivity introduced by N. Levine and Steen and Seebach. Many of the standard theorems on connectivity are also valid for... [more]

This paper is a comparative study of stronger forms of connectivity introduced by N. Levine and Steen and Seebach. Many of the standard theorems on connectivity are also valid for these stronger forms of connectivity, with some notable exceptions which are pointed out. © 1972 Springer.

DOI	10.1007/BF02843790
Citations	Scopus - 2

1972

Sims BT, 'Some generalizations of the contraction mapping theorem', Rendiconti del Circolo Matematico di Palermo, 21 64-70 (1972)

DOI	10.1007/BF02844232

1971

Sims B, 'A characterization of Banach-star-algebras by numerical range', Bulletin of the Australian Mathematical Society, 4 193-200 (1971)

It is known that in a B*-algebra every self-adjoint element is hermitian. We give an elementary proof that this condition characterizes B*-algetras among Banach*-algebras. © 1971, Australian Mathematical Society. All rights reserved.

DOI	10.1017/S0004972700046451
Citations	Scopus - 3

Show 54 more journal articles

Conference (19 outputs)

Year

Citation

Altmetrics

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2020

Borwein D, Borwein JM, Sims B, 'Symmetry and the monotonicity of certain Riemann sums', Springer Proceedings in Mathematics and Statistics, Callaghan, Australia (2020) [E1]

DOI	10.1007/978-3-030-36568-4_2
Citations	Scopus - 2

2020

Bailey DH, Borwein NS, Brent RP, Burachik RS, Osborn JAH, Sims B, Zhu QJ, 'Preface', Springer Proceedings in Mathematics and Statistics (2020)

2020

Bailey DH, Borwein JM, Salehipour A, López de Prado M, 'Do financial gurus produce reliable forecasts?', Springer Proceedings in Mathematics and Statistics, Newcastle, Australia (2020) [E1]

DOI	10.1007/978-3-030-36568-4_17

2020

Borwein D, Borwein JM, Sims B, 'Symmetry and the monotonicity of certain Riemann sums', Springer Proceedings in Mathematics and Statistics, Callaghan, Australia (2020) [E1]

DOI	10.1007/978-3-030-36568-4_2
Citations	Scopus - 2

2020

Borwein NS, Osborn JAH, 'On the educational legacies of Jonathan M. Borwein', Springer Proceedings in Mathematics & Statistics, Newcastle, NSW (2020) [E1]

DOI	10.1007/978-3-030-36568-4_7
Citations	Scopus - 2

2008

Dhompongsa S, Goebel K, Kirk WA, Plubtieng S, Sims B, Suantai S, 'Conference Editors', Fixed Point Theory and its Applications, Chiang Mai, Thailand (2008) [E4]

2008

Li G, Sims B, 'T-Demicloseness principle and asymptotic behavior for semigroups of nonexpansive mappings in metric spaces', Fixed Point Theory and its Applications, Chiang Mai, Thailand (2008) [E1]

2006

Nathansky HF, De Buen BG, Goebel K, Kirk WA, Sims B, 'Fixed Point Theory and its Applications', Fixed Point Theory and its Applications, Guanajuato, Mexico (2006) [E4]

2006

Dalby T, Sims B, 'Banach lattices and the weak fixed point property', Fixed Point Theory and its Applications, Guanajuato, Mexico (2006) [E1]

2004

Falset JG, Fuster EL, Sims B, 'Proceedings of the International Conference on Fixed Point Theory and Applications', Proceedings of the International Conference on Fixed Point Theory and Applications, Valencia, Spain (2004) [E4]

2004

Mustafa ZY, Sims B, 'Some remarks concerning D - metric spaces', Proceedings of the International Conference on Fixed Point Theory and Applications, Valencia, Spain (2004) [E1]

2003

Sims B, 'Perspectives on metric fixed point theory', Proceedings to be published, Poland (2003) [E2]

2003

Sims B, 'Some thoughts on generalized metrics', Proceedings to be published, Valencia Spain (2003) [E2]

2001

Sims B, Xu HK, Yuang GXZ, 'The homotopic invariance for fixed points of set-valued nonexpansive mappings', FIXED POINT THEORY AND APPLICATIONS, VOL 2, GYEONGSANG NATL UNIV, CHINJU, SOUTH KOREA (2001)

Citations	Web of Science - 2

2001

Goebel K, Sims B, 'More on minimal invariant sets for nonexpansive mappings', Nonlinear Analysis, Theory, Methods and Applications, Catania, Sicily (2001) [E1]

Citations	Scopus - 4Web of Science - 4

1999

Sims B, 'Maps which have fixed points for any Banach Space', Proceedings of the Centre for Mathematics and Its Applications, The University of Newcastle (1999) [E1]

1999

Ireland MJ, Kirk WA, Sims B, 'The Leray-Schauder Alternative for Nonexpansive Maps from the Ball Characterize Hilbert Space', Proceedings of the International Conference on Nonlinear analysis and Convex Analysis, Japan (1999) [E1]

1999

Sims B, Yu H-K, Yuan GX-Z, 'The homotopic invariance for fixed points of set-valued nonexpansive mappings', The Third Symposium on Nonlinear Analysis, Josai University (1999) [E1]

Citations	Web of Science - 1

1995

Williams MA, Pagnucco M, Foo N, Sims B, 'Determining explanations using transmutations', IJCAI-95 - PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL JOINT CONFERENCE ON ARTIFICIAL INTELLIGENCE, VOLS 1 AND 2, MONTREAL, CANADA (1995)

Citations	Web of Science - 3

Show 16 more conferences

Software / Code (1 outputs)

Year	Citation	Altmetrics	Link
1975	Sims B, Giles J, 'On the numerical ranges of operators on locally convex spaces', Journal of the Australian Mathematical Society (1975)

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Grants and Funding

Summary

Number of grants	26
Total funding	$18,220,168

Click on a grant title below to expand the full details for that specific grant.

20161 grants / $593,621

Relaxed reflection methods for feasibility and matrix completion problems$593,621

Funding body: ARC (Australian Research Council)

Funding body	ARC (Australian Research Council)
Project Team	Associate Professor Jeffrey Hogan, Laureate Professor Jon Borwein, Associate Professor Russell Luke, Associate Professor Brailey Sims
Scheme	Discovery Projects
Role	Investigator
Funding Start	2016
Funding Finish	2018
GNo	G1500027
Type Of Funding	C1200 - Aust Competitive - ARC
Category	1200
UON	Y

20121 grants / $390,000

Structured barrier and penalty functions in infinite dimensional optimization and analysis$390,000

Funding body: ARC (Australian Research Council)

Funding body	ARC (Australian Research Council)
Project Team	Laureate Professor Jon Borwein, Professor Andrew Eberhard, Associate Professor Brailey Sims, Professor Adrian Lewis, Professor Qiji Zhu
Scheme	Discovery Projects
Role	Investigator
Funding Start	2012
Funding Finish	2014
GNo	G1100082
Type Of Funding	Aust Competitive - Commonwealth
Category	1CS
UON	Y

20091 grants / $267,361

Computer Assisted Research Mathematics and its Applications$267,361

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Laureate Professor Jon Borwein, Conjoint Professor Natashia Boland, Associate Professor Brailey Sims, Professor George Willis
Scheme	Priority Research Centre
Role	Investigator
Funding Start	2009
Funding Finish	2012
GNo	G0189866
Type Of Funding	Internal
Category	INTE
UON	Y

20082 grants / $9,971,084

Centre for Complex Dynamic Systems and Control$9,648,000

Funding body: ARC (Australian Research Council)

Funding body	ARC (Australian Research Council)
Project Team	Emeritus Laureate Professor Graham Goodwin, Professor Minyue Fu, Professor Reza Moheimani, Doctor Julio Braslavsky, Dr GREG Adams, Associate Professor Jose De Dona, Associate Professor Maria Seron, Associate Professor James Welsh, Professor Andrew Fleming, Associate Professor Tristan Perez, Doctor Damian Marelli, Associate Professor Brailey Sims, Conjoint Professor Kerrie Mengersen, Professor A Pettitt, Dr R Reeves, Professor Ian Turner, Dr Salvatore Crisafulli, Dr M Downey, Mr J Lee, Mr P Stone, Conjoint Professor John Rayner
Scheme	ARC Centres of Excellence
Role	Investigator
Funding Start	2008
Funding Finish	2010
GNo	G0188623
Type Of Funding	Aust Competitive - Commonwealth
Category	1CS
UON	Y

Centre for Complex Dynamic Systems and Control$323,084

Funding body: NSW Department of State and Regional Development

Funding body	NSW Department of State and Regional Development
Project Team	Emeritus Laureate Professor Graham Goodwin, Professor Minyue Fu, Professor Reza Moheimani, Doctor Julio Braslavsky, Dr GREG Adams, Associate Professor Jose De Dona, Associate Professor Maria Seron, Associate Professor James Welsh, Professor Andrew Fleming, Doctor Damian Marelli, Associate Professor Brailey Sims, Conjoint Professor Kerrie Mengersen, Professor A Pettitt, Dr R Reeves, Professor Ian Turner, Dr Salvatore Crisafulli, Dr M Downey, Mr J Lee, Mr P Stone
Scheme	ARC Centres of Excellence Partner Funding
Role	Investigator
Funding Start	2008
Funding Finish	2010
GNo	G0189187
Type Of Funding	Other Public Sector - State
Category	2OPS
UON	Y

20032 grants / $6,938,092

Centre for Complex Dynamic Systems and Control.$6,929,432

Funding body: ARC (Australian Research Council)

Funding body	ARC (Australian Research Council)
Project Team	Emeritus Professor Rick Middleton, Emeritus Laureate Professor Graham Goodwin, Professor Minyue Fu, Conjoint Professor Kerrie Mengersen, Professor Iain Raeburn, Professor Reza Moheimani, Dr William Heath, Doctor Julio Braslavsky, Associate Professor Jose De Dona, Doctor Richard Gerlach, Associate Professor Maria Seron, Associate Professor Brailey Sims
Scheme	ARC Centres of Excellence
Role	Investigator
Funding Start	2003
Funding Finish	2007
GNo	G0182216
Type Of Funding	Aust Competitive - Commonwealth
Category	1CS
UON	Y

The Great Australian Science Show Off!$8,660

Funding body: Department of Education, Science and Training

Funding body	Department of Education, Science and Training
Project Team	Doctor Terry Burns, Associate Professor Brailey Sims
Scheme	National Science Week Grant
Role	Investigator
Funding Start	2003
Funding Finish	2003
GNo	G0182687
Type Of Funding	Other Public Sector - Commonwealth
Category	2OPC
UON	Y

20022 grants / $6,486

Visit of Prof Piotr Mankiewicz, from 21 March 2002 to 28 April 2002$3,486

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	2002
Funding Finish	2002
GNo	G0181742
Type Of Funding	Internal
Category	INTE
UON	Y

Special Interest Meeting of the Australian Mathematical Society from 27 September 2002 to 29 September 2002$3,000

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Conference Establishment Grant
Role	Lead
Funding Start	2002
Funding Finish	2002
GNo	G0181859
Type Of Funding	Internal
Category	INTE
UON	Y

20012 grants / $7,511

Visit of Prof Mariusz Wodzicki from 2 December 2001 to 21 January 2002$5,011

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	2001
Funding Finish	2001
GNo	G0181634
Type Of Funding	Internal
Category	INTE
UON	Y

Fifth International Conference on Fixed Point Theory and its Applications, Israel 13-19 June 2001$2,500

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	2001
Funding Finish	2001
GNo	G0180941
Type Of Funding	Internal
Category	INTE
UON	Y

20003 grants / $12,891

Visitor - Prof Chris Rodger August to December 2000$6,605

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims, Conjoint Professor Peter Eades
Scheme	Visitor Grant
Role	Lead
Funding Start	2000
Funding Finish	2000
GNo	G0179355
Type Of Funding	Internal
Category	INTE
UON	Y

Visitor grant Prof Kazimierz Goebel, 5 August to 30 September 2000.$3,786

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	2000
Funding Finish	2000
GNo	G0179571
Type Of Funding	Internal
Category	INTE
UON	Y

World Congress of Nonlinear Analysts (WCNA-2000), Catania, Italy.$2,500

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	2000
Funding Finish	2000
GNo	G0180295
Type Of Funding	Internal
Category	INTE
UON	Y

19992 grants / $4,769

Visitor grant for Professor Genaro Lopez$3,395

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	1999
Funding Finish	1999
GNo	G0179003
Type Of Funding	Internal
Category	INTE
UON	Y

International Conference on Differential Equations and Related Topics, Pusan, Korea.$1,374

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	1999
Funding Finish	1999
GNo	G0180439
Type Of Funding	Internal
Category	INTE
UON	Y

19981 grants / $1,646

International Conference on Nonlinear Analysis and Convex Analysis, Niigata, Japan$1,646

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	1998
Funding Finish	1998
GNo	G0180601
Type Of Funding	Internal
Category	INTE
UON	Y

19973 grants / $8,433

Investigations related to metric fixed point theory.$4,000

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Project Grant
Role	Lead
Funding Start	1997
Funding Finish	1997
GNo	G0176803
Type Of Funding	Internal
Category	INTE
UON	Y

Sims - Hong-Kun Xu 2/7/97-22/8/97$3,190

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims, Assoc. Prof H Xu
Scheme	Visitor Grant
Role	Lead
Funding Start	1997
Funding Finish	1997
GNo	G0177507
Type Of Funding	Internal
Category	INTE
UON	Y

Workshop on Fixed Point Theory, Poland, 23-28 June 1997$1,243

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	1997
Funding Finish	1997
GNo	G0179568
Type Of Funding	Internal
Category	INTE
UON	Y

19961 grants / $2,400

Common fixed points for commuting non-expansive maps$2,400

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Project Grant
Role	Lead
Funding Start	1996
Funding Finish	1996
GNo	G0175787
Type Of Funding	Internal
Category	INTE
UON	Y

19952 grants / $6,897

Visit by Professor W A Kirk, Professor of Mathematics, University of Iowa. 17 May to 15 July 1995.$3,497

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	1995
Funding Finish	1995
GNo	G0175494
Type Of Funding	Internal
Category	INTE
UON	Y

Fixed point theory for nonexpansive maps$3,400

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Project Grant
Role	Lead
Funding Start	1995
Funding Finish	1995
GNo	G0174873
Type Of Funding	Internal
Category	INTE
UON	Y

19941 grants / $3,500

Nonexpansive maps and fixed points in Banach spaces$3,500

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Project Grant
Role	Lead
Funding Start	1994
Funding Finish	1994
GNo	G0174779
Type Of Funding	Internal
Category	INTE
UON	Y

19932 grants / $5,477

Visit by Prof Kazimierz Boegel, Maria Curie-Sklodowska University, Lublin, Poland 1/11/93 to 23/12/93.$3,865

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Visitor Grant
Role	Lead
Funding Start	1993
Funding Finish	1993
GNo	G0173397
Type Of Funding	Internal
Category	INTE
UON	Y

'International Conference in Abstract Analysis' - South Africa - 14 - 23 April 1993$1,612

Funding body: University of Newcastle

Funding body	University of Newcastle
Project Team	Associate Professor Brailey Sims
Scheme	Travel Grant
Role	Lead
Funding Start	1993
Funding Finish	1993
GNo	G0174297
Type Of Funding	Internal
Category	INTE
UON	Y

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Research Supervision

Number of supervisions

Completed8

Current0

Past Supervision

Year	Level of Study	Research Title	Program	Supervisor Type
2022	PhD	Metric Projections in Inner Product Spaces	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Co-Supervisor
2019	PhD	Proximal Point Algorithms, Dynamical Systems, and Associated Operators: Modern Perspectives From Experimental Mathematics	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Co-Supervisor
2016	PhD	Iterative Projection and Reflection Methods: Theory and Practice	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Co-Supervisor
2015	PhD	Tree Actions Associated with the Scale of an Automorphism of a Totally Disconnected Locally Compact Group	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Co-Supervisor
2015	PhD	Expectations over Deterministic Fractal Sets	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Co-Supervisor
2014	PhD	Nonlinear Analysis in Geodesic Spaces	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Principal Supervisor
2011	PhD	Connections Between Geometrical and Fixed Point Properties	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Principal Supervisor
2005	PhD	A New Structure for Generalized Metric Spaces - with Applications to Fixed Point Theory	PhD (Mathematics), College of Engineering, Science and Environment, The University of Newcastle	Principal Supervisor

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