Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings

被引：127
作者：
Takahashi, Wataru [1 ]
Zembayashi, Kei [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
FIXED POINT THEORY AND APPLICATIONS | 2008年
关键词：
D O I：
10.1155/2008/528476
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping in a Banach space by using a new hybrid method. Using this theorem, we obtain two new results for finding a solution of an equilibrium problem and a fixed point of a relatively nonexpnasive mapping in a Banach space. Copyright (c) 2008.
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页数：11
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