Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications

被引：0

作者：

D. R. Sahu

V. Colao

G. Marino

机构：

[1] Banaras Hindu University,Department of Mathematics

[2] Universita della Calabria,Dipartimento di Matematica

来源：

Journal of Global Optimization | 2013年 / 56卷

关键词：

Fixed point; Nonexpansive mappings; Accretive operators; Resolvent operator split feasibility problem; Equilibrium problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An implicit algorithm for finding common fixed points of an uncountable family of nonexpansive mappings is proposed. A new inexact iteration method is also proposed for countable family of nonexpansive mappings. Several strong convergence theorems based on our main results are established in the setting of Banach spaces. Both algorithms are applied for finding zeros of accretive operators and for solving convex minimization, split feasibility and equilibrium problems.

引用

页码：1631 / 1651

页数：20

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