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

• 论文 • 上一篇    下一篇

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. 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. 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: 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