Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications

被引：4

作者：

Yu, Zenn-Tsun ^{[1
]}

Lin, Lai-Jiu ^{[2
]}

机构：

[1] Nan Kai Univ Technol, Dept Elect Engn, Nantou 542, Taiwan

[2] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

hierarchical problems; split feasibility problem; fixed point problem; strict pseudo-nonspreading mappings; pseudo-contractive mappings; GENERALIZED MIXED EQUILIBRIUM; STRONG-CONVERGENCE THEOREMS; ITERATIVE ALGORITHMS; COUNTABLE FAMILY; COMMON SOLUTIONS; INFINITE FAMILY; WEAK; APPROXIMATION; INCLUSIONS;

D O I：

10.1186/1687-1812-2014-198

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first establish a strong convergence theorem for a variational inequality problem over split fixed point sets of a finite family of strict pseudo-nonspreading mappings and a countable family of quasi-nonexpansive mappings. As applications, we establish a strong convergence theorem of split fixed point sets of a finite family of strict pseudo-nonspreading mappings and a countable family of strict pseudo-nonspreading mappings without semicompact assumption on the strict pseudo-nonspreading mappings. We also study the variational inequality problems over split common solutions of fixed points for a finite family of strict pseudo-nonspreading mappings, fixed points of a countable family of pseudo-contractive mappings (or strict pseudo-nonspreading mappings) and solutions of a countable family of nonlinear operators. We study fixed points of a countable family of pseudo-contractive mappings with hemicontinuity assumption, neither Lipschitz continuity nor closedness assumption is needed.

引用

页数：25