Hongkun Xu

Personal Home Page

http://www.math.nsysu.edu.tw/faculty/xuhk.html

Articles in Scholarly Journals [Incomplete List]

  1. An iterative method for finding common solutions of equilibrium and fixed point problems
    Journal of Mathematical Analysis and Applications, vol. 344, no. 1, pp. 340–352, 2008
  2. Asymptotic pointwise contractions
    Nonlinear Analysis: Theory, Methods & Applications, 2007
  3. Robustness of Mann's algorithm for nonexpansive mappings
    Journal of Mathematical Analysis and Applications, vol. 327, no. 2, pp. 1105–1115, 2007
  4. Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 336–346, 2007
  5. Iterative methods for strict pseudo-contractions in Hilbert spaces
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 7, pp. 2258–2271, 2007
  6. Strong convergence of the CQ method for fixed point iteration processes
    Nonlinear Analysis, vol. 64, no. 11, pp. 2400–2411, 2006
  7. Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
    Nonlinear Analysis, vol. 64, no. 5, pp. 1140–1152, 2006
  8. A general iterative method for nonexpansive mappings in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 318, no. 1, pp. 43–52, 2006
  9. Iterative approaches to convex feasibility problems in Banach spaces
    Nonlinear Analysis, vol. 64, no. 9, pp. 2022–2042, 2006
  10. Strong convergence of an iterative method for nonexpansive and accretive operators
    Journal of Mathematical Analysis and Applications, vol. 314, no. 2, pp. 631–643, 2006
  11. A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
    Inverse Problems, vol. 22, no. 6, pp. 2021–2034, 2006
  12. A Regularization Method for the Proximal Point Algorithm
    Journal of Global Optimization, vol. 36, no. 1, pp. 115–125, 2006
  13. Strong convergence of modified Mann iterations
    Nonlinear Analysis, vol. 61, no. 1-2, pp. 51–60, 2005
  14. Ambiguous loci of mutually nearest and mutually furthest points in Banach spaces1
    Nonlinear Analysis, vol. 58, no. 3-4, pp. 367–377, 2004
  15. Iterative Approaches to Convex Minimization Problems
    Numerical Functional Analysis and Optimization, vol. 25, no. 5-6, pp. 531–546, 2004
  16. Viscosity approximation methods for nonexpansive mappings
    Journal of Mathematical Analysis and Applications, vol. 298, no. 1, pp. 279–291, 2004
  17. Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities
    Journal of Optimization Theory and Applications, vol. 119, no. 1, pp. 185–201, 2003
  18. An iterative approach to a constrained least squares problem
    Abstract and Applied Analysis, vol. 2003, no. 8, pp. 503–512, 2003
  19. Porosity of mutually nearest and mutually furthest points in Banach spaces
    Journal of Approximation Theory, vol. 125, no. 1, pp. 10–25, 2003
  20. Mathematische Nachrichten, vol. 248-249, no. 1, pp. 62–71, 2003
  21. Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces
    Nonlinear Analysis, vol. 54, no. 8, pp. 1417–1426, 2003
  22. Journal of Optimization Theory and Applications, vol. 116, no. 3, pp. 659–678, 2003
  23. ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
    Numerical Functional Analysis and Optimization, vol. 23, no. 3-4, pp. 323–331, 2002
  24. Comments on the paper “Weak almost-convergence theorem without opial's condition” [B.K. Sharma et al., J. Math. Anal. Appl. 254 (2001) 636–644]
    Journal of Mathematical Analysis and Applications, vol. 269, no. 1, pp. 382–386, 2002
  25. ITERATIVE ALGORITHMS FOR NONLINEAR OPERATORS
    Journal of the London Mathematical Society, vol. 66, no. 1, pp. 240–256, 2002
  26. Existence Results for Quasilinear Elliptic Equations with Discontinuous Nonlinearities
    Applicable Analysis, vol. 81, no. 2, pp. 179–199, 2002
  27. Multivalued nonexpansive mappings in Banach spaces
    Nonlinear Analysis, vol. 43, no. 6, pp. 693–706, 2001
  28. AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
    Numerical Functional Analysis and Optimization, vol. 22, no. 5-6, pp. 767–773, 2001
  29. Geometrical conditions in product spaces
    Nonlinear Analysis, vol. 46, no. 8, pp. 1063–1071, 2001
  30. Strong asymptotic behavior of almost-orbits of nonlinear semigroups
    Nonlinear Analysis, vol. 46, no. 1, pp. 135–151, 2001
  31. On Property (M) and Its Generalizations
    Journal of Mathematical Analysis and Applications, vol. 261, no. 1, pp. 271–281, 2001
  32. Boundary value problems for functional differential equations
    Nonlinear Analysis, vol. 41, no. 7-8, pp. 971–988, 2000
  33. Remarks on asymptotically nonexpansive mappings
    Nonlinear Analysis, vol. 41, no. 3-4, pp. 405–415, 2000
  34. Approximations to fixed points of contraction semigroups in hilbert spaces
    Numerical Functional Analysis and Optimization, vol. 19, no. 1, pp. 157–163, 1998
  35. Measurability of Fixed Point Sets of Multivalued Random Operators
    Journal of Mathematical Analysis and Applications, vol. 225, no. 1, pp. 62–72, 1998
  36. Approximating curves of nonexpansive nonself-mappings in Banach spaces
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 325, no. 2, pp. 151–156, 1997
  37. Proceedings of the American Mathematical Society, vol. 125, no. 09, pp. 2605–2615, 1997
  38. Proceedings of the American Mathematical Society, vol. 124, no. 03, pp. 831–839, 1996
  39. Random fixed point theorems for nonlinear uniformly lipschitzian mappings
    Nonlinear Analysis, vol. 26, no. 7, pp. 1301–1311, 1996
  40. Fixed points of semigroups of Lipschitzian mappings defined on nonconvex domains
    Georgian Mathematical Journal, vol. 2, no. 5, pp. 547–558, 1995
  41. Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
    Nonlinear Analysis, vol. 24, no. 6, pp. 929–946, 1995
  42. Uniformly Lipschitzian mappings in metric spaces with uniform normal structure
    Nonlinear Analysis, vol. 25, no. 11, pp. 1231–1235, 1995
  43. A new geometrical coefficient for Banach spaces and its applications in fixed point theory
    Nonlinear Analysis, vol. 25, no. 3, pp. 311–325, 1995
  44. Solvability of nonlinear Volterra and Fredholm equations in weighted spaces1
    Nonlinear Analysis, vol. 24, no. 8, pp. 1289–1297, 1995
  45. Strong convergence theorems for nonexpansive nonself-mappings
    Nonlinear Analysis, vol. 24, no. 2, pp. 223–228, 1995
  46. Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
    Proceedings of the American Mathematical Society, vol. 122, no. 3, p. 733, 1994
  47. Fixed point theorems for asymptotically nonexpansive mappings
    Nonlinear Analysis, vol. 22, no. 11, pp. 1345–1355, 1994
  48. Solutions of nonlinear operator equations in Banach spaces with application
    Nonlinear Analysis, vol. 22, no. 7, pp. 857–865, 1994
  49. Fixed point theorems for Lipschitzian semigroups in Banach spaces
    Nonlinear Analysis, vol. 20, no. 4, pp. 395–404, 1993
  50. Iterative Solutions to Nonlinear Equations of Strongly Accretive Operators in Banach Spaces
    Journal of Mathematical Analysis and Applications, vol. 178, no. 1, pp. 9–21, 1993
  51. Asymptotic Behavior of Almost-Orbits of Nonlinear Semigroups of Non- Lipschitzian Mappings in Hilbert Spaces
    Proceedings of the American Mathematical Society, vol. 117, no. 2, p. 385, 1993
  52. A Random Fixed Point Theorem for Multivalued Nonexpansive Operators in Uniformly Convex Banach Spaces
    Proceedings of the American Mathematical Society, vol. 117, no. 4, p. 1089, 1993
  53. Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process
    Journal of Mathematical Analysis and Applications, vol. 178, no. 2, pp. 301–308, 1993
  54. The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
    Proceedings of the American Mathematical Society, vol. 114, no. 2, p. 399, 1992
  55. A note on the Ishikawa iteration scheme
    Journal of Mathematical Analysis and Applications, vol. 167, no. 2, pp. 582–587, 1992
  56. An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces
    Nonlinear Analysis, vol. 19, no. 9, pp. 805–813, 1992
  57. Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
    Nonlinear Analysis, vol. 16, no. 12, pp. 1139–1146, 1991
  58. Inequalities in Banach spaces with applications
    Nonlinear Analysis, vol. 16, no. 12, pp. 1127–1138, 1991
  59. On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces
    Proceedings of the American Mathematical Society, vol. 113, no. 4, p. 983, 1991
  60. Some Random Fixed Point Theorems for Condensing and Nonexpansive Operators
    Proceedings of the American Mathematical Society, vol. 110, no. 2, p. 395, 1990
  61. Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces
    Journal of Mathematical Analysis and Applications, vol. 152, no. 2, pp. 391–398, 1990