GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results exte...

Full description

Saved in:
Bibliographic Details
Published in:Acta mathematica scientia Vol. 36; no. 2; pp. 602 - 613
Main Author: 唐金芳 张石生 刘敏
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-03-2016
Department of Mathematics, Yibin University, Yibin 644007, China%Center for General Education, China Medical University, Taichung 40402, Taiwan, China
Subjects:
47H09
47J25
90C25
Algorithms
Feasibility
General split feasibility problems
Hilbert space
Mapping
Mathematical analysis
nonexpansive mappings
strong convergence
90C25
47H09
General split feasibility problems
Hilbert space
47J25
strong convergence
nonexpansive mappings
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results.
Bibliography:Jinfang TANG, Shih-sen CHANG, Min LIU（1. Department of Mathematics, Yibin University, Yibin 644007, China;2. Center for General Education, China Medical University, Taichung 40402, Taiwan, China;3. Department of Mathematics, Yibin University, Yibin 644007, China）
42-1227/O
General split feasibility problems; nonexpansive mappings; Hilbert space;strong convergence
The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30024-8