Halpern type iteration with multiple anchor points in a Hadamard space

被引:0
作者
Yasunori Kimura
Hideyuki Wada
机构
[1] Toho University,Department of Information Science
来源
Journal of Inequalities and Applications | / 2015卷
关键词
fixed point; approximation theorem; nonexpansive mapping; geodesic space; 47H09;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider an approximation sequence of a common fixed point generated by Halpern type iteration with a finite family of nonexpansive mappings in a Hadamard space. We propose another style of Halpern type iteration with multiple anchor points and prove that it converges strongly to a common fixed point.
引用
收藏
相关论文
共 22 条
  • [1] Wittmann R(1992)Approximation of fixed points of nonexpansive mappings Arch. Math. (Basel) 58 486-491
  • [2] Shimizu T(1997)Strong convergence to common fixed points of families of nonexpansive mappings J. Math. Anal. Appl. 211 71-83
  • [3] Takahashi W(2005)Convergence to common fixed points of a finite family of nonexpansive mappings Arch. Math. (Basel) 84 350-363
  • [4] Kimura Y(2010)Halpern’s iteration in Fixed Point Theory Appl. 2010 3689-3696
  • [5] Takahashi W(2008) spaces Nonlinear Anal., Theory Methods Appl. 68 2350-2360
  • [6] Toyoda M(2007)A concept of convergence in geodesic spaces Nonlinear Anal. 67 659-678
  • [7] Saejung S(2003)Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space J. Optim. Theory Appl. 116 445-452
  • [8] Kirk WA(2012)An iterative approach to quadratic optimization Nonlinear Anal. 75 199-253
  • [9] Panyanak B(1998)Mann’s algorithm for nonexpansive mappings in Commun. Anal. Geom. 6 62-75
  • [10] Aoyama K(1999) spaces J. Funct. Anal. 161 undefined-undefined