A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

doi:10.1007/s10473-021-0413-9

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (4): 1250-1262.doi: 10.1007/s10473-021-0413-9

A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

张石生¹, 唐金芳², 温庆丰³

1. Center for General Education, China Medical University, Taichung 40402, Taiwan, China;
2. Department of Mathematics, Yibin University, Yibin 644007, China;
3. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan, China

收稿日期:2020-05-31 修回日期:2020-09-16 出版日期:2021-08-25 发布日期:2021-09-01
通讯作者: Shih-sen CHANG E-mail:changss2013@163.com
作者简介:Shih-sen CHANG,E-mail:changss2013@163.com;Jinfang TANG,E-mail:jinfangt_79@163.com;Chingfeng WEN,E-mail:cfwen@kmu.edu.tw
基金资助:
This study was supported by the Natural Science Foundation of China Medical University, Taiwan. This work was also supported by Scientific Research Fund of SiChuan Provincial Education Department (14ZA0272).

A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

Shih-sen CHANG¹, Jinfang TANG², Chingfeng WEN³

1. Center for General Education, China Medical University, Taichung 40402, Taiwan, China;
2. Department of Mathematics, Yibin University, Yibin 644007, China;
3. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan, China

Received:2020-05-31 Revised:2020-09-16 Online:2021-08-25 Published:2021-09-01
Contact: Shih-sen CHANG E-mail:changss2013@163.com
Supported by:
This study was supported by the Natural Science Foundation of China Medical University, Taiwan. This work was also supported by Scientific Research Fund of SiChuan Provincial Education Department (14ZA0272).

摘要/Abstract

摘要： In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

关键词: Monotone inclusion problem, quasi-pseudo-contractive mapping, demi-contraction mapping, maximal monotone vector field, quasi-nonexpansive mappings, Hadamard manifold

Abstract: In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

Key words: Monotone inclusion problem, quasi-pseudo-contractive mapping, demi-contraction mapping, maximal monotone vector field, quasi-nonexpansive mappings, Hadamard manifold

中图分类号:

49J53

张石生, 唐金芳, 温庆丰. A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS[J]. 数学物理学报(英文版), 2021, 41(4): 1250-1262.

Shih-sen CHANG, Jinfang TANG, Chingfeng WEN. A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS[J]. Acta mathematica scientia,Series B, 2021, 41(4): 1250-1262.

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A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

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