Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces

被引：3

作者：

Cai, Gang ^{[1
]}

Bu, Shangquan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 56卷 / 04期

关键词：

Strong convergence; Variational inequality; Fixed point; Nonexpansive mapping; Banach space; ITERATIVE ALGORITHM; CONTRACTIONS; EQUATIONS;

D O I：

10.1007/s10898-012-9923-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a general variational inequality problem for finite inverse-strongly accretive mappings and the set of common fixed points for a nonexpansive mapping in a uniformly smooth and uniformly convex Banach space. We obtain a strong convergence theorem under some suitable conditions. Our results improve and extend the recent ones announced by many others in the literature.

引用

页码：1529 / 1542

页数：14

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