MULTI-STEP HYBRID ITERATIVE METHOD FOR TRIPLE HIERARCHICAL VARIATIONAL INEQUALITY PROBLEM WITH EQUILIBRIUM PROBLEM CONSTRAINT

被引：0

作者：

Ceng, Lu-Chuan ^{[2
,3
]}

Petrusel, Adrian ^{[4
]}

Yao, Jen-Chih ^{[1
,5
]}

机构：

[1] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

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

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

[4] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

[5] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2012年 / 13卷 / 03期

基金：

美国国家科学基金会;

关键词：

Multi-step hybrid iterative method; triple hierarchical variational inequality problem; equilibrium problem constraint; nonexpansive mappings; convergence analysis; FIXED-POINT PROBLEMS; WEAK-CONVERGENCE THEOREMS; STEEPEST DESCENT METHOD; NONEXPANSIVE-MAPPINGS; COMMON SOLUTIONS; FINITE FAMILY; SET; OPTIMIZATION; ALGORITHM; SCHEME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a triple hierarchical variational inequality problem with an equilibrium problem constraint, that is, a variational inequality with a variational inequality constraint over the intersection of the common fixed point set of finitely many nonexpansive mappings and the solution set of an equilibrium problem. We propose a multi-step hybrid iterative method to compute the approximate solutions of our problem. In the meantime, the convergence analysis of the sequences generated by the proposed method is also studied. In addition, a nontrivial example of our problem is also presented and our results are applied to this example.

引用

页码：475 / 502

页数：28

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