Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces

Fixexd point theory and applications

Wataru Takahashi¹  Jen-Chih Yao² 

[1] Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, Taiwan;Keio Research and Education Center for Natural Sciences, Keio University, Yokohama, Japan

关键词: split common null point problem;    fixed point;    metric resolvent;    hybrid method;    shrinking projection method;    duality mapping;    47H05;    47H09;   

DOI  :  10.1186/s13663-015-0324-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the split common null point problem in Banach spaces. Then using the hybrid method and the shrinking projection method in mathematical programming, we prove strong convergence theorems for finding a solution of the split common null point problem in Banach spaces.

【 授权许可】

CC BY