STRONGLY CONVERGENT ITERATIVE METHOD FOR THE SPLIT COMMON NULL POINT PROBLEM IN BANACH SPACES

被引：1
|
作者：
Alofi, A. S. [1 ]
Alsulami, Saud M. [1 ]
Takahashi, Wataru [1 ,2 ,3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Ookayama, Tokyo 1528552, Japan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 02期
关键词：
Split common null point problem; metric projection; metric resolvent; fixed point; iteration procedure; duality mapping; maximal monotone operator; MAXIMAL MONOTONE-OPERATORS; HILBERT-SPACES; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; FIXED-POINTS; APPROXIMATION; THEOREM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, motivated by the idea of the split feasibility problem, we consider the split common null point problem in Banach spaces. Then, using Halpern's type iteration, we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces. The result seems to be the first one to study it outside Hilbert spaces. As application, we get a new strong convergence theorem which is connected with the split common null point problem and an equilibrium problem.
引用
收藏
页码：311 / 324
页数：14
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