# Associate Professor Brailey Sims

Conjoint Associate Professor

School of Mathematical 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

### Fields of Research

Code | Description | Percentage |
---|---|---|

010299 | Applied Mathematics not elsewhere classified | 35 |

010199 | Pure Mathematics not elsewhere classified | 65 |

### Professional Experience

#### UON Appointment

Dates | Title | Organisation / Department |
---|---|---|

1/01/2014 - 9/04/2015 | Associate Professor | University of Newcastle School of Mathematical and Physical Sciences Australia |

1/01/2008 - 30/03/2012 | Associate Professor | University of Newcastle School of Mathematical and Physical Sciences Australia |

#### Academic appointment

Dates | Title | Organisation / Department |
---|---|---|

1/01/1995 - | Membership - Australian mathematical society | Australian mathematical society Australia |

1/03/1972 - 1/12/1989 | Lecturer/Senior Lecturer | University of New England Department of Mathematics |

#### 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 |

### Invitations

#### Participant

Year | Title / Rationale |
---|---|

2005 | 7th International Conference on Fixed point Theory and ApplicationsOrganisation: 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 (1 outputs)

Year | Citation | Altmetrics | Link |
---|---|---|---|

2001 | Kirk WA, Sims B, Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dortrecht/Boston/London, 702 (2001) [A3] |

### Chapter (6 outputs)

Year | Citation | Altmetrics | Link | ||||||
---|---|---|---|---|---|---|---|---|---|

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]
| ||||||||

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]
| ||||||||

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] | ||||||||

Show 3 more chapters |

### Journal article (39 outputs)

Year | Citation | Altmetrics | Link | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|

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

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

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]
| |||||||||||

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

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]
| |||||||||||

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

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

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

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)
| |||||||||||

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]
| |||||||||||

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]
| |||||||||||

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)
| |||||||||||

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]
| |||||||||||

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]
| |||||||||||

Show 36 more journal articles |

### Conference (14 outputs)

Year | Citation | Altmetrics | Link | ||
---|---|---|---|---|---|

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)
| ||||

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

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]
| ||||

Show 11 more conferences |

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## Grants and Funding

### Summary

Number of grants | 26 |
---|---|

Total funding | $13,515,547 |

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

## 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, Professor Adrian Lewis, Associate Professor Brailey Sims, Professor Qiji Zhu |

Scheme | Discovery Projects |

Role | Investigator |

Funding Start | 2012 |

Funding Finish | 2012 |

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 | 2009 |

GNo | G0189866 |

Type Of Funding | Internal |

Category | INTE |

UON | Y |

## 20083 grants / $5,860,084

### Centre for Complex Dynamic Systems and Control$5,400,000

**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, Doctor Gregory Adams, Associate Professor Jose De Dona, Doctor Maria Seron, Doctor James Welsh, Doctor 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 | 2008 |

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, Doctor Gregory Adams, Associate Professor Jose De Dona, Doctor Maria Seron, Doctor James Welsh, Doctor 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 | Centres of Excellence (Partner) |

Role | Investigator |

Funding Start | 2008 |

Funding Finish | 2008 |

GNo | G0189187 |

Type Of Funding | Other Public Sector - State |

Category | 2OPS |

UON | Y |

### CDSC Sub-Account: Mathematical Systems Theory$137,000

**Funding body: **ARC (Australian Research Council)

Funding body | ARC (Australian Research Council) |
---|---|

Project Team | Emeritus Laureate Professor Graham Goodwin, Associate Professor Brailey Sims |

Scheme | ARC Centres of Excellence |

Role | Investigator |

Funding Start | 2008 |

Funding Finish | 2008 |

GNo | GS090009 |

Type Of Funding | Aust Competitive - Commonwealth |

Category | 1CS |

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 | 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, Doctor Maria Seron, Associate Professor Brailey Sims |

Scheme | ARC Centres of Excellence |

Role | Investigator |

Funding Start | 2003 |

Funding Finish | 2003 |

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

### Current Supervision

Commenced | Research Title / Program / Supervisor Type |
---|---|

2013 | Nonlinear Analysis for OptimisationMathematics, Faculty of Science and Information Technology Co-Supervisor |

2012 | Expectations over Deterministic Fractal SetsMathematics, Faculty of Science and Information Technology Co-Supervisor |

2012 | Reflection and Projection Methods for non-convex inverse problemsMathematics, Faculty of Science and Information Technology Co-Supervisor |

### Past Supervision

Year | Research Title / Program / Supervisor Type |
---|---|

2015 | Tree Actions Associated with the Scale of an Automorphism of a Totally Disconnected Locally Compact GroupMathematics, Faculty of Science and Information Technology Co-Supervisor |

2014 | Nonlinear Analysis in Geodesic SpacesMathematics, Faculty of Science and Information Technology Principal Supervisor |

2011 | Connections Between Geometrical and Fixed Point PropertiesMathematics, Faculty of Science and Information Technology Principal Supervisor |

2005 | A New Structure for Generalized Metric Spaces - with Applications to Fixed Point TheoryMathematics, Faculty of Science and Information Technology Principal Supervisor |

*Edit*

## Associate Professor Brailey Sims

### Position

**Conjoint Associate Professor**

School of Mathematical and Physical Sciences

Faculty of Science and Information Technology

### Focus area

Mathematics

### Contact Details

brailey.sims@newcastle.edu.au | |

Phone | (02) 4921 5540 |

Fax | (02) 4921 6898 |

### Office

Room | V18 |
---|---|

Building | Mathematics |

Location | CallaghanUniversity DriveCallaghan, NSW 2308 Australia |

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