A new iterative algorithm for solving a system of generalized mixed equilibrium problems for a kind of multi-valued nonlinear mappings

被引：0

作者：

Deng, Wei-Qi ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2014年 / 66卷 / 04期

基金：

中国国家自然科学基金;

关键词：

System of generalized mixed equilibrium problems; Totally quasi-phi-asymptotically nonexpansive multi-valued mappings; Generalized projections; BANACH-SPACES; NONEXPANSIVE-MAPPINGS;

D O I：

10.1007/s11075-013-9762-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a new technique, namely, a specific way of choosing the indexes of the involved mappings, we introduce a new iterative algorithm for approximating common fixed points of a countable family of multi-valued totally quasi-I center dot-asymptotically nonexpansive mappings and obtain a strong convergence theorem under some suitable conditions. As application, an iterative solution to a system of generalized mixed equilibrium problems is studied. The results extend those of other authors, in which the involved mapping consists of just a single one.

引用

页码：779 / 791

页数：13

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