A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Spaces

被引：0

作者：

Yuan, Mei ^{[2
]}

Li, Xi ^{[1
]}

Li, Xue-song ^{[1
]}

Liu, John J. ^{[3
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Leshan Coll Profess & Technol, Leshan 614000, Sichuan, Peoples R China

[3] City Univ Hong Kong, Coll Business, Hong Kong, Hong Kong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

中国国家自然科学基金;

关键词：

F-PROJECTION OPERATOR; VARIATIONAL-INEQUALITIES; WEAK-CONVERGENCE;

D O I：

10.1155/2012/498487

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Relatively nonexpansive mappings and equilibrium problems are considered based on a shrinking projection method. Using properties of the generalized f-projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some suitable conditions.

引用

页数：12

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