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

页码：311 / 324

页数：14

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