New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces

被引：1

作者：

Nammanee, Kamonrat ^{[1
,2
]}

Wangkeeree, Rabian ^{[1
,3
]}

机构：

[1] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

[2] Phayao Univ, Sch Sci & Technol, Dept Math, Phayao 56000, Thailand

[3] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

COMMON FIXED-POINTS; CONVEX FEASIBILITY PROBLEMS; STRONG-CONVERGENCE; ACCRETIVE-OPERATORS; NONLINEAR OPERATORS; HILBERT-SPACES; THEOREMS; ALGORITHMS;

D O I：

10.1155/2011/671754

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Finally, we apply our results to solve the the equilibrium problems and the problem of finding a zero of an accretive operator. The results presented in this paper mainly improve on the corresponding results reported by many others.

引用

页数：24

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