Iterative methods for triple hierarchical variational inequalities and common fixed point problems

被引：0

作者：

Sahu, D. R. ^{[1
]}

Kang, Shin Min ^{[2
,3
]}

Sagar, Vidya ^{[1
]}

Kumar, Satyendra ^{[1
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

metric projection mapping; nonexpansive mapping; sequence of nearly nonexpansive mappings; triple hierarchical variational inequality; STEEPEST-DESCENT METHODS; CONVERGENCE; MAPPINGS;

D O I：

10.1186/1687-1812-2014-244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce a new iterative scheme for approximating the solution of a triple hierarchical variational inequality problem. Under some requirements on parameters, we study the convergence analysis of the proposed iterative scheme for the considered triple hierarchical variational inequality problem which is defined over the set of solutions of a variational inequality problem defined over the intersection of the set of common fixed points of a sequence of nearly nonexpansive mappings and the set of solutions of the classical variational inequality. Our strong convergence theorems extend and improve some known corresponding results in the contemporary literature for a wider class of nonexpansive type mappings in Hilbert spaces.

引用

页数：25

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