Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

Fixexd point theory and applications

Suthep Suantai¹  Narin Petrot²  Montira Suwannaprapa² 

[1] Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand;Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: split feasibility problems;    maximal monotone operators;    inverse strongly monotone operator;    fixed point problems;    weak convergence theorems;    26A18;    47H04;    47H05;    47H10;    54A20;   

DOI  :  10.1186/s13663-017-0599-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems. By assuming the existence of solutions, we provide a suitable algorithm for finding a solution point. Some important applications and numerical experiments of the considered problem and constructed algorithm are also discussed.

【 授权许可】

CC BY