Abridged Resume

Name: William A.
(Art) Kirk

Business Address:

Department of
Mathematics

The University of

Phone: 319-335-0788; fax: 319-335-0627

E-mail: kirk@math.uiowa.edu

**HIGHER
EDUCATION**

University of

**ACADEMIC
POSITIONS**

Professor of Mathematics,

Associate Professor of Mathematics, University of Iowa, 1967-71

Assistant Professor of Mathematics,

**RECENT
TEACHING**

Course Supervisor 22M:001, 002, 004, 005, 009; Fall 2001; Spring 2002; Fall 2002

22M:025 (Calculus I); Fall, 1997, 1998, 2001, 2002; Spring
2002; )

22M:015 (Mathematics for the Biological Sciences); Fall, 1999,
2000; Spring, 2000, 2001

22M:026 (Calculus II); Spring, 1999, 2005

22M:013
(Mathematics for Business); Spring, Fall, 2006

**EDITORIAL
BOARDS**

*Journal of Nonlinear Analysis* (Elsevier, Ltd.)

*Journal of Mathematical Analysis and
Applications* (Elsevier, Ltd.)

*Journal of Abstract and Applied Analysis* (Hindawi Publishing Corp.)

*Journal of Nonlinear
and Convex Anslysis* (

*Nonlinear Analysis
Forum* (Sejong Publisher,

**DEPARTMENTAL
COMMITTEES**: Graduate Committee
2000-01; Hiring Committee, 2000-2001; Evaluation of Teaching Committee, 1998 - 2000;
Executive Committee 1997 - 2000; Committee to draft peer review guidelines
2000-01; Library Committee, 1996 -

**RECENT
INVITED LECTURES**

Invited speaker, *Conference on Fixed Point Theory and Related
Topics*,

Invited speaker, *Fourth
World Congress of Nonlinear Analysts*,

Invited speaker, *Conference on Fixed
Point Theory and Related Topics*,

Lecturer, *Seminar in Functional Analysis*,

Plenary speaker: *Second
International Conference on Nonlinear and Convex Analysis*,

July - 30 August
2, 2001.

Invited speaker: *International
Fixed Point Theory Conference*,

Invited speaker: *International
Conference on Mathematical Analysis and its Applications*,

Plenary speaker: *Third World** Congress of
Nonlinear Analysts*,

**PUBLICATIONS**

**Books**

K. Goebel and W.
A. Kirk, *Topics in Metric Fixed Point Theory,* Cambridge Univ. Press,
1991; Polish Language Edition, Wydawnictwo UMCS, Lublin, 1999.

M. A. Khamsi and
W. A. Kirk, *An Introduction to Metric Spaces and Fixed Point Theory*, Wiley
Interscience, Inc., New York, 2001.

W. A. Kirk and Brailey Sims (Editors), *Handbook on Metric Fixed Point
Theory*, Kluwer Academic Publishers,

Recent Research Articles

1. W. A. Kirk and B. Panyanak, Best approximation in **R**-trees. *Num. Funct. Anal. Optimiz* **28**(2007),
681-190.

2. S. Dhompongsa,
W. A. Kirk, and B. Panyanak, Nonexpansive set-valued
mappings in metric and Banach spaces, *J. Nonlinear and Convex Anal.* **8**(2007), 35-45.

3. A. Kaewcharoen
and W. A. Kirk, Proximinality in geodesic spaces, *Abstract
and Applied Analysis*, vol. **2006**,
Article ID 43591, 10 pages, 2006.

4. W. A. Kirk,
Nonexpansive retracts and minimal invariant sets; in *Fixed Point Theory and
its Applications*, Yokohama Publishers, **2006**, pp. 161-169.

5. A. Kaewcharoen
and W. A. Kirk, Nonexpansive mappings defined on unbounded domains, *Fixed
Point Theory and Appl*. vol. **2006**(2006),
Article ID82080, Pages 1– 3 doi:10.1155/FPTA/2006/82080.

6. Sompong Dhompongsa, W. A. Kirk,
and Brailey Sims, Fixed points of uniformly lipschitzian mappings*,* *Nonlinear Anal*. **65**(2006), 762-772.

7. R. Espinola and W. A. Kirk,
Fixed point theorems in **R**-trees with applications to graph theory, *Topology
and its Applications* **153** (2006), 1046-1055.

8.
W. A. Kirk and Brailey Sims, An ultrafilter
approach to locally almost nonexpansive maps, *Nonlinear Anal*. Nonlinear Anal. **63**(2005), pp. e1241-e1251.

9.
W. A. Kirk, Fixed point theorems in CAT(0) spaces and **R**-trees*,
Fixed Point Theory and Appl. ***2004:4**(2004),
309-316.

10.
W. A. Kirk, Geodesic geometry and fixed point theory* *II, in *Fixed
Point Theory and its Applications* (J. Garcia-Falset,
E. Llorens-Fuster, and B. Sims, eds.), Yokahama Publ. 2004, pp. 113-142.

11. W. A. Kirk, Geodesic geometry and fixed point
theory, in *Seminar of Mathematical Analysis* (Proceedings, Universities
of Malaga and

12.
W. A. Kirk, Transfinite methods in metric fixed point theory. *Abstract and
Applied. Anaysis* **2003(5)**, (2003), 311-324.

13. R. Espinola and W. A. Kirk,
Set valued contractions and fixed points, *Nonlinear Anal*. **54**(2003),
485-494.

14. W. A. Kirk, Fixed points of asymptotic contractions, *J.
Math. Anal. Appl.* **277**(2003),
645-650.

15. R. Espinola and W. A. Kirk
, Fixed points and approximate fixed points in product spaces, *Taiwanese
J. Math*. **5**(2001), 405-416.

16. W. A. Kirk and Linda Marie Saliga,
The Brézis-Browder order principle and extensions of Caristi’s theorem, *Nonlinear Anal*. **47**(2001),62765-2778.

17. W. A. Kirk and Brailey Sims,
Uniform normal structure and related notions, *J. Nonlinear and Convex Anal*. **2**(2001), 129-137.

18. R. Espinola, W. A. Kirk, and
G. López, Nonexpansive retractions in hyperconvex spaces, *J. Math.** Anal. Appl*. **251**(2000), 557-570.

19. M. A. Khamsi, W. A. Kirk, and C. Martinez Yañez, Fixed point and selection theorems in hyperconvex spaces, *Proc. Amer. Math. Soc*.**128**
(2000), 3275-3283.

20. W. A. Kirk, Nonexpansive mappings and asymptotic regularity,
*Nonlinear Anal.* **40**(2000), 323-332.

21. W. A.
Kirk and Linda Marie Saliga, Some results on
existence and approximation in metric fixed point theory, *J. Comp. Applied
Math.* **113**(2000), 141-152.

22. W. A.
Kirk, Brailey Sims, and X. Z. Yuan, The Knaster-Kuratowski
and Mazurkiewicz theory in hyperconvex
metric spaces and some of its applications, *Nonlinear Anal.* **39**(2000),
611-627.