Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings

被引:0
作者
Wenxin Wang
Jianmin Song
机构
[1] North China Electric Power University,Department of Applied Mathematics and Physics
[2] Shijiazhuang University of Economics,Department of Mathematics and Sciences
来源
Fixed Point Theory and Applications | / 2013卷
关键词
bifunction; equilibrium problem; fixed point; generalized projection; relatively asymptotically nonexpansive mapping;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this paper is to investigate a bifunction equilibrium problem and a fixed point problem of relatively asymptotically nonexpansive mappings based on a generalized projection method. A weak convergence theorem for common solutions is established in a uniformly smooth and uniformly convex Banach space.
引用
收藏
相关论文
共 53 条
  • [1] Butnariu D(2003)Weak convergence of orbits of nonlinear operators in reflexive Banach spaces Numer. Funct. Anal. Optim 24 489-508
  • [2] Reich S(2007)Generalized projection algorithms for nonlinear operators Numer. Funct. Anal. Optim 28 1197-1215
  • [3] Zaslavski AJ(2010)Shrinking projection methods for a pair of asymptotically quasi- Numer. Funct. Anal. Optim 31 1072-1089
  • [4] Agarwal RP(2011)-nonexpansive mappings J. Math. Comput. Sci 1 1-18
  • [5] Cho YJ(2012)Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces Commun. Optim. Theory 1 1-18
  • [6] Qin X(2012)An approximate bundle method for solving variational inequalities Adv. Fixed Point Theory 2 374-397
  • [7] Qin X(2010)Strong convergence theorem for a common point of solution of variational inequality and fixed point problem Nonlinear Anal 11 2963-2972
  • [8] Agarwal RP(2012)Iterative methods for generalized equilibrium problems and fixed point problems with applications Eng. Math. Lett 2 34-41
  • [9] Ye J(2012)Decompsition method for solving system of linear equations J. Math. Comput. Sci 2 1660-1670
  • [10] Huang J(2010)Iterative approximation for the common solutions of a infinite variational inequality system for inverse-strongly accretive mappings Appl. Math. Comput 215 3874-3883