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：
Wei-Qi Deng
机构：
[1] Yunnan University of Finance and Economics,College of Statistics and Mathematics
来源：
Numerical Algorithms | 2014年 / 66卷
关键词：
System of generalized mixed equilibrium problems; Totally quasi-; -asymptotically nonexpansive multi-valued mappings; Generalized projections; 47J05; 47H09; 49J25;
D O I：
暂无
中图分类号：
学科分类号：
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-ϕ-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.
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页码：779 / 791
页数：12
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