William A. Kirk

Personal Home Page

http://www.math.uiowa.edu/~kirk/

Articles in Scholarly Journals [Incomplete List]

  1. A concept of convergence in geodesic spaces
    Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 12, pp. 3689–3696, 2008
  2. Asymptotic pointwise contractions
    Nonlinear Analysis: Theory, Methods & Applications, 2007
  3. Best Approximation in ?-Trees
    Numerical Functional Analysis and Optimization, vol. 28, no. 5, pp. 681–690, 2007
  4. Some recent results in metric fixed point theory
    Journal of Fixed Point Theory and Applications, vol. 2, no. 2, pp. 195–207, 2007
  5. Fixed point theorems in R-trees with applications to graph theory
    Topology and its Applications, vol. 153, no. 7, pp. 1046–1055, 2006
  6. Fixed points of uniformly lipschitzian mappings
    Nonlinear Analysis, vol. 65, no. 4, pp. 762–772, 2006
  7. Proximinality in geodesic spaces
    Abstract and Applied Analysis, vol. 2006, Article ID 43591, 10 pages, 2006
  8. Nonexpansive mappings defined on unbounded domains
    Fixed Point Theory and Applications, vol. 2006, Article ID 82080, 13 pages, 2006
  9. An ultrafilter approach to locally almost nonexpansive maps
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e1241–e1251, 2005
  10. Fixed point theorems in CAT(0) spaces and R-trees
    Fixed Point Theory and Applications, vol. 2004, no. 4, pp. 309–316, 2004
  11. Transfinite methods in metric fixed-point theory
    Abstract and Applied Analysis, vol. 2003, no. 5, pp. 311–324, 2003
  12. Set-valued contractions and fixed points
    Nonlinear Analysis, vol. 54, no. 3, pp. 485–494, 2003
  13. Fixed points of asymptotic contractions
    Journal of Mathematical Analysis and Applications, vol. 277, no. 2, pp. 645–650, 2003
  14. Proximinal Retracts and Best Proximity Pair Theorems
    Numerical Functional Analysis and Optimization, vol. 24, no. 7-8, pp. 851–862, 2003
  15. The B rézis–Browder order principle and extensions of Caristi’s theorem
    Nonlinear Analysis, vol. 47, no. 4, pp. 2765–2778, 2001
  16. Nonexpansive mappings and asymptotic regularity
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 323–332, 2000
  17. Proceedings of the American Mathematical Society, vol. 128, no. 11, pp. 3275–3284, 2000
  18. 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
  19. 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
  20. Nonexpansive Retractions in Hyperconvex Spaces
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 557–570, 2000
  21. Asymptotic Properties of Nonexpansive Iterations in Reflexive Spaces
    Journal of Mathematical Analysis and Applications, vol. 236, no. 2, pp. 281–289, 1999
  22. Hölder continuity and minimal displacement
    Numerical Functional Analysis and Optimization, vol. 19, no. 1, pp. 71–79, 1998
  23. Asymptotically nonexpansive mappings1
    Nonlinear Analysis, vol. 33, no. 1, pp. 1–12, 1998
  24. Continuous mappings in compact hyperconvex metric spaces
    Numerical Functional Analysis and Optimization, vol. 17, no. 5, pp. 599–603, 1996
  25. Nonlinear Isometries in Superreflexive Spaces
    Journal of Mathematical Analysis and Applications, vol. 201, no. 1, pp. 247–251, 1996
  26. Fixed point theorems for Lipschitzian mappings in Banach spaces
    Nonlinear Analysis, vol. 26, no. 12, pp. 1905–1911, 1996
  27. 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
  28. Nonexpansive and locally nonexpansive mappings in product spaces
    Nonlinear Analysis, vol. 12, no. 7, pp. 719–725, 1988
  29. Local expansions and accretive mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 6, no. 3, pp. 419–429, 1983
  30. Remarks on Fixed Points and Boundaries
    Proceedings of the American Mathematical Society, vol. 87, no. 1, p. 62, 1983
  31. Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces1
    Nonlinear Analysis, vol. 6, no. 2, pp. 151–155, 1982
  32. Krasnoselskii's iteration process in hyperbolic space
    Numerical Functional Analysis and Optimization, vol. 4, no. 4, pp. 371–381, 1982
  33. An Abstract Fixed Point Theorem for Nonexpansive Mappings
    Proceedings of the American Mathematical Society, vol. 82, no. 4, p. 640, 1981
  34. Fixed point theorems for local strong pseudo-contractions
    Nonlinear Analysis, vol. 4, no. 2, pp. 363–368, 1980
  35. Zeros ofm-accretive operators in Banach spaces
    Israel Journal of Mathematics, vol. 35, no. 1-2, pp. 1–8, 1980
  36. A fixed point theorem for local pseudo-contractions in uniformly convex spaces
    Manuscripta Mathematica, vol. 30, no. 1, pp. 89–102, 1979
  37. Mapping theorems for local expansions in metric and Banach spaces1
    Journal of Mathematical Analysis and Applications, vol. 72, no. 1, pp. 114–121, 1979
  38. Asymptotically nonexpansive semigroups in Banach spaces
    Nonlinear Analysis, vol. 3, no. 1, pp. 111–121, 1979
  39. Condensing mappings and the Leray-Schauder boundary condition
    Nonlinear Analysis, vol. 3, no. 4, pp. 533–538, 1979
  40. Local Contractions in Metric Spaces
    Proceedings of the American Mathematical Society, vol. 68, no. 1, p. 121, 1978
  41. A Remark on Directional Contractions
    Proceedings of the American Mathematical Society, vol. 66, no. 2, p. 279, 1977
  42. Fixed Point Theorems for Nonexpansive Mappings Satisfying Certain Boundary Conditions
    Proceedings of the American Mathematical Society, vol. 50, no. 1, p. 143, 1975
  43. A remark on condensing mappings1
    Journal of Mathematical Analysis and Applications, vol. 51, no. 3, pp. 629–632, 1975
  44. Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
    Israel Journal of Mathematics, vol. 17, no. 4, pp. 339–346, 1974
  45. A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
    Proceedings of the American Mathematical Society, vol. 35, no. 1, p. 171, 1972
  46. Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings
    Proceedings of the American Mathematical Society, vol. 36, no. 1, p. 111, 1972
  47. A Fixed Point Theorem for Mappings with a Nonexpansive Iterate
    Proceedings of the American Mathematical Society, vol. 29, no. 2, p. 294, 1971
  48. Remarks on Pseudo-Contractive Mappings
    Proceedings of the American Mathematical Society, vol. 25, no. 4, p. 820, 1970
  49. Mappings of generalized contractive type
    Journal of Mathematical Analysis and Applications, vol. 32, no. 3, pp. 567–572, 1970
  50. On nonlinear mappings of strongly semicontractive type1
    Journal of Mathematical Analysis and Applications, vol. 27, no. 2, pp. 409–412, 1969
  51. On Mappings with Diminishing Orbital Diameters
    Journal of the London Mathematical Society, vol. s1-44, no. 1, pp. 107–111, 1969
  52. Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
    Proceedings of the American Mathematical Society, vol. 20, no. 1, p. 141, 1969
  53. A Note on Equilateral Metric Triples
    The American Mathematical Monthly, vol. 74, no. 3, p. 288, 1967
  54. A Theorem on Local Isometries
    Proceedings of the American Mathematical Society, vol. 17, no. 2, p. 453, 1966
  55. A Fixed Point Theorem for Mappings which do not Increase Distances
    The American Mathematical Monthly, vol. 72, no. 9, p. 1004, 1965
  56. On Locally Isometric Mappings of a G-Space on Itself
    Proceedings of the American Mathematical Society, vol. 15, no. 4, p. 584, 1964