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.
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页数：25
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