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
收藏
页码：779 / 791
页数：13
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