Wataru Takahashi

Personal Home Page

http://www.is.titech.ac.jp/~wataru/lab/index-e.html

Articles in Scholarly Journals [Incomplete List]

  1. Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
    Archiv der Mathematik, vol. 91, no. 2, pp. 166–177, 2008
  2. Existence of zero points for pseudomonotone operators in Banach spaces
    Journal of Global Optimization, 2008
  3. Approximating fixed points of nonexpansive mappings in a Banach space by metric projections
    Applied Mathematics and Computation, vol. 196, no. 1, pp. 422–425, 2008
  4. Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings
    Applied Mathematics and Computation, vol. 202, no. 2, pp. 760–765, 2008
  5. Weak convergence of a projection algorithm for variational inequalities in a Banach space
    Journal of Mathematical Analysis and Applications, vol. 339, no. 1, pp. 668–679, 2008
  6. Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 276–286, 2008
  7. Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
    Nonlinear Analysis: Theory, Methods & Applications, 2008
  8. Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
    Nonlinear Analysis: Theory, Methods & Applications, 2008
  9. Fixed point properties for semigroup of nonexpansive mappings on Fréchet spaces☆
    Nonlinear Analysis: Theory, Methods & Applications, 2008
  10. Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
    Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 2, pp. 412–419, 2008
  11. Block Iterative Methods for a Finite Family of Generalized Nonexpansive Mappings in Banach Spaces
    Numerical Functional Analysis and Optimization, vol. 29, no. 3, pp. 362–375, 2008
  12. Strong Convergence Theorem by a New Hybrid Method for Equilibrium Problems and Relatively Nonexpansive Mappings
    Fixed Point Theory and Applications, vol. 2008, Article ID 528476, 11 pages, 2008
  13. Convergence of almost-orbits of nonexpansive semigroups in Banach spaces
    Proceedings of the American Mathematical Society, vol. 135, no. 10, pp. 3143–3151, 2007
  14. Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces
    Fixed Point Theory and Applications, vol. 2007, Article ID 21972, 18 pages, 2007
  15. Strong convergence studied by a hybrid type method for monotone operators in a Banach space
    Nonlinear Analysis: Theory, Methods & Applications, 2007
  16. Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
    Nonlinear Analysis: Theory, Methods & Applications, 2007
  17. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 331, no. 1, pp. 506–515, 2007
  18. Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 4, pp. 1211–1225, 2007
  19. Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 8, pp. 2350–2360, 2007
  20. A new projection and convergence theorems for the projections in Banach spaces
    Journal of Approximation Theory, vol. 149, no. 1, pp. 1–14, 2007
  21. Existence theorems for monotone operators in reflexive Banach spaces
    Archiv der Mathematik, vol. 89, no. 3, pp. 254–265, 2007
  22. Weak and Strong Convergence Theorems for a Nonexpansive Mapping and an Equilibrium Problem
    Journal of Optimization Theory and Applications, vol. 133, no. 3, pp. 359–370, 2007
  23. Nonlinear mean ergodic theorems for nonexpansive semigroups in Banach spaces
    Journal of Fixed Point Theory and Applications, vol. 2, no. 2, pp. 369–382, 2007
  24. Existence Theorems for Set-valued Operators in Banach Spaces
    Set-Valued Analysis, vol. 15, no. 3, pp. 251–264, 2006
  25. Viscosity approximation methods for resolvents of accretive operators in Banach spaces
    Journal of Fixed Point Theory and Applications, vol. 1, no. 1, pp. 135–147, 2006
  26. Weak Convergence Theorem by an Extragradient Method for Nonexpansive Mappings and Monotone Mappings
    Journal of Optimization Theory and Applications, vol. 128, no. 1, pp. 191–201, 2006
  27. On the existence of zeros of monotone operators in reflexive Banach spaces
    Journal of Mathematical Analysis and Applications, vol. 323, no. 2, pp. 1354–1364, 2006
  28. Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
    SIAM Journal on Optimization, vol. 16, no. 4, p. 1230, 2006
  29. Fixed point theorems for one-parameter asymptotically nonexpansive semigroups in general Banach spaces
    Nonlinear Analysis, vol. 65, no. 2, pp. 433–441, 2006
  30. Weak convergence of an iterative sequence for accretive operators in Banach spaces
    Fixed Point Theory and Applications, vol. 2006, Article ID 35390, 13 pages, 2006
  31. Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
    Fixed Point Theory and Applications, vol. 2005, no. 3, pp. 343–354, 2005
  32. Approximating zero points of accretive operators with compact domains in general Banach spaces
    Fixed Point Theory and Applications, vol. 2005, no. 1, pp. 93–102, 2005
  33. A strong convergence theorem for relatively nonexpansive mappings in a Banach space
    Journal of Approximation Theory, vol. 134, no. 2, pp. 257–266, 2005
  34. Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
    Nonlinear Analysis, vol. 61, no. 3, pp. 341–350, 2005
  35. Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces
    Nonlinear Analysis, vol. 61, no. 6, pp. 881–899, 2005
  36. Convergence to common fixed points of a finite family of nonexpansive mappings
    Archiv der Mathematik, vol. 84, no. 4, pp. 350–363, 2005
  37. Weak and Strong Convergence Theorems for Maximal Monotone Operators in a Banach Space
    Set-Valued Analysis, vol. 12, no. 4, pp. 417–429, 2004
  38. Finite co-dimensional Banach spaces and some bounded recovery problems
    Applied Mathematics and Computation, vol. 153, no. 3, pp. 785–792, 2004
  39. Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
    Abstract and Applied Analysis, vol. 2004, no. 3, pp. 239–249, 2004
  40. Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
    Fixed Point Theory and Applications, vol. 2004, no. 1, pp. 37–47, 2004
  41. Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
    Abstract and Applied Analysis, vol. 2003, no. 10, pp. 621–629, 2003
  42. Reproducing Kernels of H m ( a , b ) ( m = 1, 2, 3) and Least Constants in Sobolev's Inequalities
    Applicable Analysis, vol. 82, no. 8, pp. 809–820, 2003
  43. Journal of Optimization Theory and Applications, vol. 117, no. 1, pp. 93–101, 2003
  44. Journal of Optimization Theory and Applications, vol. 118, no. 2, pp. 417–428, 2003
  45. Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups
    Journal of Mathematical Analysis and Applications, vol. 279, no. 2, pp. 372–379, 2003
  46. Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
    Archiv der Mathematik, vol. 81, no. 4, pp. 439–445, 2003
  47. Fixed point theorems for fuzzy mappings in complete metric spaces
    Fuzzy Sets and Systems, vol. 125, no. 2, pp. 253–260, 2002
  48. Strong Convergence of a Proximal-Type Algorithm in a Banach Space
    SIAM Journal on Optimization, vol. 13, no. 3, p. 938, 2002
  49. On the projection constants of some topological spaces and some applications
    Abstract and Applied Analysis, vol. 6, no. 5, pp. 299–308, 2001
  50. On projection constant problems and the existence of metric projections in normed spaces
    Abstract and Applied Analysis, vol. 6, no. 7, pp. 401–411, 2001
  51. Weak and strong convergence theorems for non-expansive mappings in Banach spaces
    Nonlinear Analysis, vol. 47, no. 4, pp. 2805–2815, 2001
  52. Weak and strong convergence of approximating fixed points and applications
    Nonlinear Analysis, vol. 47, no. 7, pp. 4981–4993, 2001
  53. Generalization of shadows and fixed point theorems for fuzzy sets
    Fuzzy Sets and Systems, vol. 114, no. 3, pp. 469–476, 2000
  54. Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
    Journal of Approximation Theory, vol. 106, no. 2, pp. 226–240, 2000
  55. Set-Valued Analysis, vol. 8, no. 4, pp. 361–374, 2000
  56. Journal of the Operations Research Society of Japan, vol. 43, p. 87, 2000
  57. Convergence theorems for nonexpansive mappings and feasibility problems
    Mathematical and Computer Modelling, vol. 32, no. 11-13, pp. 1463–1471, 2000
  58. Strong Convergence of Averaged Approximants for Asymptotically Nonexpansive Mappings in Banach Spaces
    Journal of Approximation Theory, vol. 97, no. 1, pp. 53–64, 1999
  59. Existence of Nonexpansive Retractions for Amenable Semigroups of Nonexpansive Mappings and Nonlinear Ergodic Theorems in Banach Spaces
    Journal of Functional Analysis, vol. 161, no. 1, pp. 62–75, 1999
  60. A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
    Archiv der Mathematik, vol. 72, no. 5, pp. 354–359, 1999
  61. The Coalitional Rationality of the Shapley Value
    Journal of Mathematical Analysis and Applications, vol. 220, no. 2, pp. 597–602, 1998
  62. Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces
    Nonlinear Analysis, vol. 32, no. 3, pp. 447–454, 1998
  63. Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
    Nonlinear Analysis, vol. 34, no. 1, pp. 87–99, 1998
  64. Proceedings of the American Mathematical Society, vol. 126, no. 10, pp. 3117–3125, 1998
  65. Proceedings of the American Mathematical Society, vol. 125, no. 12, pp. 3641–3646, 1997
  66. Strong Convergence to Common Fixed Points of Families of Nonexpansive Mappings
    Journal of Mathematical Analysis and Applications, vol. 211, no. 1, pp. 71–83, 1997
  67. Limit Theorems of Operators by Convex Combinations of Nonexpansive Retractions in Banach Spaces
    Journal of Approximation Theory, vol. 91, no. 3, pp. 386–397, 1997
  68. Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings
    Nonlinear Analysis, vol. 29, no. 5, pp. 539–550, 1997
  69. Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications
    Nonlinear Analysis, vol. 30, no. 2, pp. 1283–1293, 1997
  70. Convergence of approximated sequences for nonexpansive mappings
    Nonlinear Analysis, vol. 30, no. 7, pp. 4497–4507, 1997
  71. Strong convergence and nonlinear ergodic theorems for commutative semigroups of nonexpansive mappings
    Nonlinear Analysis, vol. 28, no. 3, pp. 495–511, 1997
  72. Strong convergence theorem for asymptotically nonexpansive mappings
    Nonlinear Analysis, vol. 26, no. 2, pp. 265–272, 1996
  73. Nonlinear ergodic theorems for semigroups of nonexpansive mappings and left ideals
    Nonlinear Analysis, vol. 26, no. 8, pp. 1411–1427, 1996
  74. Invariant Submeans and Semigroups of Nonexpansive Mappings on Banach Spaces with Normal Structure
    Journal of Functional Analysis, vol. 142, no. 1, pp. 79–88, 1996
  75. Fixed Point Theorem for Nonexpansive Semigroups on Banach Space
    Proceedings of the American Mathematical Society, vol. 122, no. 4, p. 1175, 1994
  76. On the asymptotic behavior of infinite products of resolvents in Banach spaces
    Nonlinear Analysis, vol. 20, no. 5, pp. 469–479, 1993
  77. Asymptotic behavior of almost-orbits of nonexpansive semigroups without convexity
    Kodai Mathematical Journal, vol. 15, no. 2, pp. 185–192, 1992
  78. Dual convergence theorems for the infinite products of resolvents in Banach spaces
    Kodai Mathematical Journal, vol. 14, no. 3, pp. 358–365, 1991
  79. On the existence of fixed points and ergodic retractions for Lipschitzian semigroups in Hilbert spaces
    Nonlinear Analysis, vol. 14, no. 1, pp. 69–80, 1990
  80. Invariant means and semigroups of nonexpansive mappings on uniformly convex Banach spaces
    Journal of Mathematical Analysis and Applications, vol. 153, no. 2, pp. 497–505, 1990
  81. An explicit iteration for asymptotic centers of orbits of nonexpansive mappings in Banach spaces
    Journal of Approximation Theory, vol. 57, no. 1, pp. 40–47, 1989
  82. Asymptotic behavior of almost-orbits of reversible semigroups of Lipschitzian mappings
    Journal of Mathematical Analysis and Applications, vol. 142, no. 1, pp. 242–249, 1989
  83. Fixed point theorems for multivalued mappings on complete metric spaces
    Journal of Mathematical Analysis and Applications, vol. 141, no. 1, pp. 177–188, 1989
  84. The closedness property and the pseudo-A-properness of accretive operators
    Journal of Mathematical Analysis and Applications, vol. 132, no. 2, pp. 548–557, 1988
  85. Fan's theorem concerning systems of convex inequalities and its applications
    Journal of Mathematical Analysis and Applications, vol. 135, no. 2, pp. 383–398, 1988
  86. Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces
    Nonlinear Analysis, vol. 12, no. 11, pp. 1269–1281, 1988
  87. Asymptotic behavior of almost-orbits of semigroups of Lipschitzian mappings in Banach spaces
    Kodai Mathematical Journal, vol. 11, no. 1, pp. 129–140, 1988
  88. A Nonlinear Ergodic Theorem for a Reversible Semigroup of Lipschitzian Mappings in a Hilbert Space
    Proceedings of the American Mathematical Society, vol. 104, no. 2, p. 431, 1988
  89. Modulus of convexity, characteristic of convexity and fixed point theorems
    Kodai Mathematical Journal, vol. 10, no. 2, pp. 197–208, 1987
  90. Fixed point theorems for uniformly lipschitzian semigroups in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 127, no. 1, pp. 206–210, 1987
  91. Asymptotic behavior of commutative semigroups of nonexpansive mappings in Banach spaces
    Nonlinear Analysis, vol. 10, no. 3, pp. 229–249, 1986
  92. A Nonlinear Ergodic Theorem for a Reversible Semigroup of Nonexpansive Mappings in a Hilbert Space
    Proceedings of the American Mathematical Society, vol. 97, no. 1, p. 55, 1986
  93. The asymptotic behavior of nonlinear semigroups and invariant means
    Journal of Mathematical Analysis and Applications, vol. 109, no. 1, pp. 130–139, 1985
  94. Means on commutative semigroups and nonlinear ergodic theorems
    Journal of Mathematical Analysis and Applications, vol. 111, no. 2, pp. 585–605, 1985
  95. On Reich's strong convergence theorems for resolvents of accretive operators
    Journal of Mathematical Analysis and Applications, vol. 104, no. 2, pp. 546–553, 1984
  96. Mean ergodic theorems for semigroups of linear operators
    Journal of Mathematical Analysis and Applications, vol. 103, no. 2, pp. 387–394, 1984
  97. Systems of linear inequalities on normed linear spaces
    Linear and Multilinear Algebra, vol. 13, no. 3, pp. 267–279, 1983
  98. A generalization of the Hahn-Banach theorem
    Journal of Mathematical Analysis and Applications, vol. 88, no. 2, pp. 333–340, 1982
  99. A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
    Proceedings of the American Mathematical Society, vol. 81, no. 2, p. 253, 1981
  100. Existence Theorems on Unbounded Sets in Banach Spaces
    Proceedings of the American Mathematical Society, vol. 80, no. 4, p. 647, 1980
  101. Separation theorems and minimax theorems for fuzzy sets
    Journal of Optimization Theory and Applications, vol. 31, no. 2, pp. 177–194, 1980
  102. Systems of convex inequalities and their applications
    Journal of Mathematical Analysis and Applications, vol. 70, no. 2, pp. 445–459, 1979
  103. Nonlinear complementarity problem and systems of convex inequalities
    Journal of Optimization Theory and Applications, vol. 24, no. 3, pp. 499–506, 1978
  104. Single-valued mappings, multivalued mappings and fixed-point theorems
    Journal of Mathematical Analysis and Applications, vol. 59, no. 3, pp. 514–521, 1977