Iterative algorithms for solving variational inequalities and fixed point problems for asymptotically nonexpansive mappings in Banach spaces

被引：0
作者：
Gang Cai
Yekini Shehu
Olaniyi Samuel Iyiola
机构：
[1] Chongqing Normal University,School of Mathematics Science
[2] University of Nigeria,Department of Mathematics
[3] University of Wisconsin-Milwaukee,Department of Mathematical Sciences
来源：
Numerical Algorithms | 2016年 / 73卷
关键词：
Variational inequality; Fixed point; Strong convergence; Asymptotically nonexpansive mapping; Banach space; 49J30; 47H10; 47H17; 49M05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to study some iterative algorithms for finding a common element of the set of solutions of systems of variational inequalities for inverse-strongly accretive mappings and the set of fixed points of an asymptotically nonexpansive mapping in uniformly convex and 2-uniformly smooth Banach space or uniformly convex and q-uniformly smooth Banach space. Strong convergence theorems are obtained under suitable conditions. We also give some numerical examples to support our main results. The results obtained in this paper improve and extend the recent ones announced by many others in the literature.
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页码：869 / 906
页数：37
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