Convergence theorems of a hybrid algorithm for equilibrium problems

被引：12

作者：

Kumam, Poom ^{[1
]}

Wattanawitoon, Kriengsak ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 04期

关键词：

Hybrid method; Hemi-relatively non-expansive mapping; Equilibrium problem; Monotone hybrid algorithm; RELATIVELY NONEXPANSIVE-MAPPINGS; FIXED-POINT PROBLEMS; WEAK;

D O I：

10.1016/j.nahs.2009.02.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of common fixed points of two hemi-relatively non-expansive mappings and the set of solutions of an equilibrium problem by the CQ hybrid method in Banach spaces. Our results improve and extend the corresponding results announced by Cheng and Tian [Y. Cheng, M. Tian, Strong convergence theorem by monotone hybrid algorithm for equilibrium problems, hemi-relatively nonexpansive mappings and maximal monotone operators, Fixed Point Theory Appl. 2008 (2008) 12 pages, doi:10.1155/2008/617248], Takahashi and Zembayashi [W. Takahashi, K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively non-expansive mappings, Fixed Point Theory Appl. (2008) doi:10.1155/2008/528476] and some others. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：386 / 394

页数：9

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