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.
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页数：24
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