Viscosity iteration methods for a split feasibility problem and a mixed equilibrium problem in a Hilbert space

被引：1

作者：

Deng, Bin-Chao ^{[1
]}

Chen, Tong ^{[1
]}

Dong, Qiao-Li ^{[2
]}

机构：

[1] Tianjin Univ, Sch Management, Tianjin 300072, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

mixed equilibrium problem; split feasibility problem; firmly nonexpansive; inverse strongly monotone; projection; ALGORITHMS; PROJECTION; SETS;

D O I：

10.1186/1687-1812-2012-226

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider and analyze two viscosity iteration algorithms (one implicit and one explicit) for finding a common element of the solution set of a mixed equilibrium problem and the set I" of a split feasibility problem in a real Hilbert space. Furthermore, we derive the strong convergence of a viscosity iteration algorithm to an element of under mild assumptions.

引用

页数：21

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