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

doi:10.1016/S0252-9602(16)30024-8

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 602-613.doi: 10.1016/S0252-9602(16)30024-8

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

唐金芳¹, 张石生², 刘敏³

1. Department of Mathematics, Yibin University, Yibin 644007, China;
2. Center for General Education, China Medical University, Taichung 40402, Taiwan;
3. Department of Mathematics, Yibin University, Yibin 644007, China

收稿日期:2014-12-15 修回日期:2015-07-11 出版日期:2016-04-25 发布日期:2016-04-25
通讯作者: Shih-sen CHANG,E-mail:changss2013@163.com E-mail:changss2013@163.com
作者简介:Jinfang TANG,E-mail:jinfangt 79@163.com;Min LIU,E-mail:liuminybsc@163.com
基金资助:
Supported by the Scientific Research Fund of Sichuan Provincial Department of Science and Technology (2015JY0165, 2011JYZ011), the Scientific Research Fund of Sichuan Provincial Education Department (14ZA0271), the Scientific Research Project of Yibin University (2013YY06), the Natural Science Foundation of China Medical University, Taiwan, and the National Natural Science Foundation of China (11361070).

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

Jinfang TANG¹, Shih-sen CHANG², Min LIU³

1. Department of Mathematics, Yibin University, Yibin 644007, China;
2. Center for General Education, China Medical University, Taichung 40402, Taiwan;
3. Department of Mathematics, Yibin University, Yibin 644007, China

Received:2014-12-15 Revised:2015-07-11 Online:2016-04-25 Published:2016-04-25
Contact: Shih-sen CHANG,E-mail:changss2013@163.com E-mail:changss2013@163.com
Supported by:
Supported by the Scientific Research Fund of Sichuan Provincial Department of Science and Technology (2015JY0165, 2011JYZ011), the Scientific Research Fund of Sichuan Provincial Education Department (14ZA0271), the Scientific Research Project of Yibin University (2013YY06), the Natural Science Foundation of China Medical University, Taiwan, and the National Natural Science Foundation of China (11361070).

摘要/Abstract

摘要：

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.

关键词: General split feasibility problems, nonexpansive mappings, Hilbert space, strong convergence

Abstract:

Key words: General split feasibility problems, nonexpansive mappings, Hilbert space, strong convergence

中图分类号:

90C25

唐金芳, 张石生, 刘敏. GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES[J]. 数学物理学报(英文版), 2016, 36(2): 602-613.

Jinfang TANG, Shih-sen CHANG, Min LIU. GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES[J]. Acta mathematica scientia,Series B, 2016, 36(2): 602-613.

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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

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