Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

被引：5

作者：

Ceng, Lu-Chuan ^{[1
,2
]}

Al-Homidan, Suliman ^{[3
]}

Ansari, Qamrul Hasan ^{[4
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[4] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

基金：

美国国家科学基金会;

关键词：

Hierarchical Variational Inequality Problem; Strict Pseudocontractive Mappings; Firmly Nonexpansive; Nonempty Closed Convex Subset; Three-step Iterative Algorithm;

D O I：

10.1186/1687-1812-2013-284

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a variational inequality problem which is defined over the set of intersections of the set of fixed points of a zeta-strictly pseudocontractive mapping, the set of fixed points of a nonexpansive mapping and the set of solutions of a minimization problem. We propose an iterative algorithm with regularization to solve such a variational inequality problem and study the strong convergence of the sequence generated by the proposed algorithm. The results of this paper improve and extend several known results in the literature.

引用

页数：24

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