Minimum-norm solution of variational inequality and fixed point problem in banach spaces

被引：114

作者：

Zegeye, Habtu ^{[1
]}

Shahzad, Naseer ^{[2
]}

Yao, Yonghong ^{[3
]}

机构：

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

[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[3] Tianjin Polytech Univ, Dept Math, Tianjin, Peoples R China

来源：

OPTIMIZATION | 2015年 / 64卷 / 02期

关键词：

47J05; 47J25; 47H05; 47H10; 47H09; variational inequality problems; strong convergence; relatively asymptotically non-expansive mappings; Monotone mappings; relatively non-expansive; STRONG-CONVERGENCE THEOREMS; RELATIVELY NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; ITERATIVE METHOD; WEAK; OPERATORS; RESOLVENTS;

D O I：

10.1080/02331934.2013.764522

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：

We introduce an iterative process which converges strongly to a common minimum-norm solution of a variational inequality problem for an -inverse strongly monotone mapping and a fixed point of relatively non-expansive mapping in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

引用

页码：453 / 471

页数：19

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