Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces

被引：42

作者：

Chang, Shih-sen ^{[1
]}

Kim, Jong Kyu ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

Sim, Jae Yull ^{[5
]}

机构：

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

[2] Kyungnam Univ, Dept Math Educ, Chang Won 631701, Gyeongnam, South Korea

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[5] Kyungnam Univ, Dept Math, Chang Won 631701, Gyeongnam, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

基金：

新加坡国家研究基金会;

关键词：

split feasibility problem; convex feasibility problem; k-strictly pseudo-nonspreading mapping; demicloseness; Opial's condition; SETS; ALGORITHM;

D O I：

10.1186/1687-1812-2014-11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to study the weak- and strong-convergence theorems of solutions to split a feasibility problem for a family of nonspreading-type mapping in Hilbert spaces. The main result presented in this paper improves and extends some recent results of Censor et al., Byrne, Yang, Moudafi, Xu, Censor and Segal, Masad and Reich, and others. As an application, we solve the hierarchical variational inequality problem by using the main theorem.

引用

页数：12

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