Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings

被引：0

作者：

Zegeye, H. ^{[2
]}

Shahzad, N. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Botswana, Dept Math, Gaborone, Botswana

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 54卷 / 01期

关键词：

Generalized projection; gamma-Inverse strongly monotone mappings; Monotone mappings; Strong convergence; Variational inequality problems; WEAK-CONVERGENCE; BANACH-SPACES; OPERATORS;

D O I：

10.1007/s10898-011-9744-8

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 an iterative process which converges strongly to a common solution of finite family of variational inequality problems for gamma-inverse strongly monotone mappings and fixed point of two continuous quasi--asymptotically nonexpansive mappings in Banach spaces. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

引用

页码：101 / 116

页数：16

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