A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

被引：11

作者：

Tang, Jinfang ^{[1
]}

Chang, Shih-sen ^{[2
]}

Yuan, Fei ^{[3
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[3] Staffordshire Univ, Fac Comp Engn & Technol, Stafford ST18 0AD, Staffs, England

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

equilibrium problems; split feasibility problems; strong convergence; bounded linear operator; fixed point; REFLEXIVE BANACH-SPACES; VARIATIONAL-INEQUALITIES; ITERATIVE ALGORITHMS; CQ-ALGORITHM; KRASNOSELSKII;

D O I：

10.1186/1687-1812-2014-36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges strongly to a common element of the set of solutions of equilibrium problems and the set of solutions of split feasibility problems. Our result extends and improves the corresponding results of some others.

引用

页数：16

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