Solutions for a variational inclusion problem with applications to multiple sets split feasibility problems

Fixexd point theory and applications

Chih-Sheng Chuang¹  Lai-Jiu Lin²  Yew-Dann Chen² 

[1] Department of Chemical and Materials Engineering, Southern Taiwan University of Science and Technology, Tainan, Taiwan;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

关键词: firmly nonexpansive mapping;    proximal-contraction;    multiple sets split feasibility problem;    maximum monotone;    convex feasibility problem;   

DOI  :  10.1186/1687-1812-2013-333

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we first study the set of common solutions for two variational inclusion problems in a real Hilbert space and establish a strong convergence theorem of this problem. As applications, we study unique minimum norm solutions of the following problems: multiple sets split feasibility problems, system of convex constrained linear inverse problems, convex constrained linear inverse problems, split feasibility problems, convex feasibility problems. We establish iteration processes of these problems and show the strong convergence theorems of these iteration processes. MSC:47J20, 47J25, 47H05, 47H09.

【 授权许可】

CC BY