Strongly Convergent Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces

被引：0
|
作者：
Akashi, Shigeo [1 ]
Kimura, Yasunori [2 ]
Takahashi, Wataru [3 ,4 ,5 ]
机构：
[1] Tokyo Univ Sci, Dept Informat Sci, Fac Sci & Technol, 2641 Yamazaki, Noda, Chiba 2788510, Japan
[2] Toho Univ, Dept Informat Sci, Chiba 2748510, Japan
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
[4] Keio Univ, Keio Res & Educ Ctr Nat Sci, Tokyo 108, Japan
[5] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
JOURNAL OF CONVEX ANALYSIS | 2015年 / 22卷 / 04期
基金：
日本学术振兴会;
关键词：
Maximal monotone operator; inverse-strongly monotone mapping; fixed point; strong convergence theorem; equilibrium problem; split feasibility problem; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; EQUILIBRIUM PROBLEMS; MONOTONE MAPPINGS; BANACH-SPACE; APPROXIMATION; THEOREMS; ALGORITHM; OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, motivated by the idea of the split feasibility problem and results for solving the problem, we consider generalized split feasibility problems and then establish two Halpern type strong convergence theorems which are related to the problems. Furthermore, we prove strong convergence of an iterative scheme generated by the shrinking projection method. As applications, we get new and well-known strong convergence theorems which are connected with fixed point problem, split feasibility problem and equilibrium problem.
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页码：917 / 938
页数：22
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