Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems

被引：4

作者：

He, Zhenhua ^{[2
]}

Du, Wei-Shih ^{[1
]}

机构：

[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 824, Taiwan

[2] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; EQUILIBRIUM PROBLEMS; OPTIMIZATION; SYSTEMS; SPACES;

D O I：

10.1155/2012/470354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce some new iterative schemes based on viscosity approximation method for finding a split common element of the solution set of a pair of simultaneous variational inequalities for inverse strongly monotone mappings in real Hilbert spaces with a family of infinitely nonexpansive mappings. Some strong convergence theorems are also given. Our results generalize and improve some well-known results in the literature and references therein.

引用

页数：25

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