Split Common Fixed Point Problem of Nonexpansive Semigroup

被引：0

作者：

Mohammad Eslamian

Javad Vahidi

机构：

[1] Mazandaran University of Science and Technology,Department of Mathematics

[2] Iran University of Science and Technology,Department of Applied Mathematics

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

47J25; 47N10; 65J15; 90C25; Nonexpansive semigroup; quasi-nonexpansive mapping; split common fixed point problem; viscosity iteration method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we first introduce a new algorithm with a viscosity iteration method for solving the split common fixed point problem (SCFP) for a finite family of nonexpansive semigroups. We also present a new algorithm for solving the SCFP for an infinite family of quasi-nonexpansive mappings. We establish strong convergence of these algorithms in an infinite-dimensional Hilbert spaces. As application, we obtain strong convergence theorems for split variational inequality problems and split common null point problems. Our results improve and extend the related results in the literature.

引用

页码：1177 / 1195

页数：18

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