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.
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页数：12
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