Modified Proximal Point Algorithms for Solving Constrained Minimization and Fixed Point Problems in Complete CAT(0) Spaces

被引：0
|
作者：
Withun Phuengrattana
Nawitcha Onjai-uea
Prasit Cholamjiak
机构：
[1] Nakhon Pathom Rajabhat University,Department of Mathematics, Faculty of Science and Technology
[2] Nakhon Pathom Rajabhat University,Research Center for Pure and Applied Mathematics, Research and Development Institute
[3] University of Phayao,School of Science
来源：
Mediterranean Journal of Mathematics | 2018年 / 15卷
关键词：
Convex minimization problem; Fixed point problems; Proximal point algorithm; Nonexpansive mappings; CAT(0) spaces; 47H09; 47H10; 65K10; 65K15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new modified proximal point algorithm for a countably infinite family of nonexpansive mappings in complete CAT(0) spaces and prove strong convergence theorems for the proposed process under suitable conditions. We also apply our results to solving linear inverse problems and minimization problems. Several numerical examples are given to show the efficiency of the presented method.
引用
收藏
相关论文
共 50 条
  • [21] Proximal algorithms and temporal difference methods for solving fixed point problems
    Bertsekas, Dimitri P.
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2018, 70 (03) : 709 - 736
  • [22] Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis
    Wairojjana, Nopparat
    Pakkaranang, Nuttapol
    Uddin, Izhar
    Kumam, Poom
    Awwal, Aliyu Muhammed
    OPTIMIZATION, 2020, 69 (7-8) : 1655 - 1680
  • [23] On Approximating Fixed Point in CAT(0) Spaces
    Garodia, Chanchal
    Uddin, Izhar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2021, 18 (04): : 113 - 130
  • [24] The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces
    Tahernia, Mohsen
    Moradi, Sirous
    Jafari, Somaye
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (01): : 399 - 408
  • [25] MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
    Khatibzadeh, Hadi
    Ranjbar, Sajad
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 103 (01) : 70 - 90
  • [26] On minimization and fixed point problems in Hadamard spaces
    Sani Salisu
    Poom Kumam
    Songpon Sriwongsa
    Jamilu Abubakar
    Computational and Applied Mathematics, 2022, 41
  • [27] On minimization and fixed point problems in Hadamard spaces
    Salisu, Sani
    Kumam, Poom
    Sriwongsa, Songpon
    Abubakar, Jamilu
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (03):
  • [28] Fixed point theorems for (L)-type mappings in complete CAT(0) spaces
    Zhou, Jing
    Cui, Yunan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 964 - 974
  • [29] An intermixed algorithm for solving fixed point problems of proximal operators in Hilbert Spaces
    Khuangsatung, Wongvisarut
    Kangtunyakarn, Atid
    CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (02) : 307 - 331
  • [30] Strong convergence theorems for minimization, variational inequality and fixed point problems for quasi-nonexpansive mappings using modified proximal point algorithms in real Hilbert spaces
    Sow, Thierno Mohamadane Mansour
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 511 - 526
12345