William A. Kirk
Personal Home Page
http://www.math.uiowa.edu/~kirk/
Articles in Scholarly Journals [Incomplete List]
- A concept of convergence in geodesic spaces
Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 12, pp. 3689–3696, 2008 - Asymptotic pointwise contractions
Nonlinear Analysis: Theory, Methods & Applications, 2007 - Best Approximation in ?-Trees
Numerical Functional Analysis and Optimization, vol. 28, no. 5, pp. 681–690, 2007 - Some recent results in metric fixed point theory
Journal of Fixed Point Theory and Applications, vol. 2, no. 2, pp. 195–207, 2007 - Fixed point theorems in R-trees with applications to graph theory
Topology and its Applications, vol. 153, no. 7, pp. 1046–1055, 2006 - Fixed points of uniformly lipschitzian mappings
Nonlinear Analysis, vol. 65, no. 4, pp. 762–772, 2006 - Proximinality in geodesic spaces
Abstract and Applied Analysis, vol. 2006, Article ID 43591, 10 pages, 2006 - Nonexpansive mappings defined on unbounded domains
Fixed Point Theory and Applications, vol. 2006, Article ID 82080, 13 pages, 2006 - An ultrafilter approach to locally almost nonexpansive maps
Nonlinear Analysis, vol. 63, no. 5-7, pp. e1241–e1251, 2005 - Fixed point theorems in CAT(0) spaces and R-trees
Fixed Point Theory and Applications, vol. 2004, no. 4, pp. 309–316, 2004 - Transfinite methods in metric fixed-point theory
Abstract and Applied Analysis, vol. 2003, no. 5, pp. 311–324, 2003 - Set-valued contractions and fixed points
Nonlinear Analysis, vol. 54, no. 3, pp. 485–494, 2003 - Fixed points of asymptotic contractions
Journal of Mathematical Analysis and Applications, vol. 277, no. 2, pp. 645–650, 2003 - Proximinal Retracts and Best Proximity Pair Theorems
Numerical Functional Analysis and Optimization, vol. 24, no. 7-8, pp. 851–862, 2003 - The B rézis–Browder order principle and extensions of Caristi’s theorem
Nonlinear Analysis, vol. 47, no. 4, pp. 2765–2778, 2001 - Nonexpansive mappings and asymptotic regularity
Nonlinear Analysis, vol. 40, no. 1-8, pp. 323–332, 2000 - Proceedings of the American Mathematical Society, vol. 128, no. 11, pp. 3275–3284, 2000
- The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications1
Nonlinear Analysis, vol. 39, no. 5, pp. 611–627, 2000 - Some results on existence and approximation in metric fixed point theory
Journal of Computational and Applied Mathematics, vol. 113, no. 1-2, pp. 141–152, 2000 - Nonexpansive Retractions in Hyperconvex Spaces
Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 557–570, 2000 - Asymptotic Properties of Nonexpansive Iterations in Reflexive Spaces
Journal of Mathematical Analysis and Applications, vol. 236, no. 2, pp. 281–289, 1999 - Hölder continuity and minimal displacement
Numerical Functional Analysis and Optimization, vol. 19, no. 1, pp. 71–79, 1998 - Asymptotically nonexpansive mappings1
Nonlinear Analysis, vol. 33, no. 1, pp. 1–12, 1998 - Continuous mappings in compact hyperconvex metric spaces
Numerical Functional Analysis and Optimization, vol. 17, no. 5, pp. 599–603, 1996 - Nonlinear Isometries in Superreflexive Spaces
Journal of Mathematical Analysis and Applications, vol. 201, no. 1, pp. 247–251, 1996 - Fixed point theorems for Lipschitzian mappings in Banach spaces
Nonlinear Analysis, vol. 26, no. 12, pp. 1905–1911, 1996 - An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces
Proceedings of the American Mathematical Society, vol. 107, no. 2, p. 411, 1989 - Nonexpansive and locally nonexpansive mappings in product spaces
Nonlinear Analysis, vol. 12, no. 7, pp. 719–725, 1988 - Local expansions and accretive mappings
International Journal of Mathematics and Mathematical Sciences, vol. 6, no. 3, pp. 419–429, 1983 - Remarks on Fixed Points and Boundaries
Proceedings of the American Mathematical Society, vol. 87, no. 1, p. 62, 1983 - Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces1
Nonlinear Analysis, vol. 6, no. 2, pp. 151–155, 1982 - Krasnoselskii's iteration process in hyperbolic space
Numerical Functional Analysis and Optimization, vol. 4, no. 4, pp. 371–381, 1982 - An Abstract Fixed Point Theorem for Nonexpansive Mappings
Proceedings of the American Mathematical Society, vol. 82, no. 4, p. 640, 1981 - Fixed point theorems for local strong pseudo-contractions
Nonlinear Analysis, vol. 4, no. 2, pp. 363–368, 1980 - Zeros ofm-accretive operators in Banach spaces
Israel Journal of Mathematics, vol. 35, no. 1-2, pp. 1–8, 1980 - A fixed point theorem for local pseudo-contractions in uniformly convex spaces
Manuscripta Mathematica, vol. 30, no. 1, pp. 89–102, 1979 - Mapping theorems for local expansions in metric and Banach spaces1
Journal of Mathematical Analysis and Applications, vol. 72, no. 1, pp. 114–121, 1979 - Asymptotically nonexpansive semigroups in Banach spaces
Nonlinear Analysis, vol. 3, no. 1, pp. 111–121, 1979 - Condensing mappings and the Leray-Schauder boundary condition
Nonlinear Analysis, vol. 3, no. 4, pp. 533–538, 1979 - Local Contractions in Metric Spaces
Proceedings of the American Mathematical Society, vol. 68, no. 1, p. 121, 1978 - A Remark on Directional Contractions
Proceedings of the American Mathematical Society, vol. 66, no. 2, p. 279, 1977 - Fixed Point Theorems for Nonexpansive Mappings Satisfying Certain Boundary Conditions
Proceedings of the American Mathematical Society, vol. 50, no. 1, p. 143, 1975 - A remark on condensing mappings1
Journal of Mathematical Analysis and Applications, vol. 51, no. 3, pp. 629–632, 1975 - Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
Israel Journal of Mathematics, vol. 17, no. 4, pp. 339–346, 1974 - A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
Proceedings of the American Mathematical Society, vol. 35, no. 1, p. 171, 1972 - Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings
Proceedings of the American Mathematical Society, vol. 36, no. 1, p. 111, 1972 - A Fixed Point Theorem for Mappings with a Nonexpansive Iterate
Proceedings of the American Mathematical Society, vol. 29, no. 2, p. 294, 1971 - Remarks on Pseudo-Contractive Mappings
Proceedings of the American Mathematical Society, vol. 25, no. 4, p. 820, 1970 - Mappings of generalized contractive type
Journal of Mathematical Analysis and Applications, vol. 32, no. 3, pp. 567–572, 1970 - On nonlinear mappings of strongly semicontractive type1
Journal of Mathematical Analysis and Applications, vol. 27, no. 2, pp. 409–412, 1969 - On Mappings with Diminishing Orbital Diameters
Journal of the London Mathematical Society, vol. s1-44, no. 1, pp. 107–111, 1969 - Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
Proceedings of the American Mathematical Society, vol. 20, no. 1, p. 141, 1969 - A Note on Equilateral Metric Triples
The American Mathematical Monthly, vol. 74, no. 3, p. 288, 1967 - A Theorem on Local Isometries
Proceedings of the American Mathematical Society, vol. 17, no. 2, p. 453, 1966 - A Fixed Point Theorem for Mappings which do not Increase Distances
The American Mathematical Monthly, vol. 72, no. 9, p. 1004, 1965 - On Locally Isometric Mappings of a G-Space on Itself
Proceedings of the American Mathematical Society, vol. 15, no. 4, p. 584, 1964