Viscosity iteration algorithms for nonlinear variational inclusions and fixed point problems in Banach spaces

被引：0

作者：

Liu Y. ^{[1
]}

Chen Y. ^{[2
]}

机构：

[1] College of Mathematics and Computer, Hebei University

[2] College of Technology, North China Electric Power University

来源：

Journal of Applied Mathematics and Computing | 2014年 / 45卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

H-accretive operator; Inverse-strongly-accretive mapping; Strictly pseudo-contractive mapping; Sunny nonexpansive retraction; Variational inclusion;

D O I：

10.1007/s12190-013-0717-6

中图分类号：

学科分类号：

摘要：

In this paper, we introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of a nonlinear variational inclusion and the set of common fixed points of a finite family of strictly pseudo-contractive mappings which solves some variational inequality in a real Banach space. Our results improve and extend the corresponding results announced by many others. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：165 / 181

页数：16

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