AN EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF AN ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(0) SPACES

被引：0
|
作者：
Eskandani, Gholamreza Zamani [1 ]
Kim, Jong Kyu [2 ]
Moharami, Ruholah [1 ]
Lim, Won Hee [2 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran
[2] Kyungnam Univ, Dept Math Educ, Chang Won 51767, Gyeongnam, South Korea
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 07期
基金：
新加坡国家研究基金会;
关键词：
Hybrid extragradient method; equilibrium problem; fixed point problem; asymptotically nonexpansive mapping; CAT(0) space; optimization problem; CONVERGENCE THEOREMS; DELTA-CONVERGENCE; HADAMARD; ALGORITHMS; ITERATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, using a hybrid extragradient method, we introduce a new iterative process for approximating a common element of the set of solutions of an equilibrium problem and a fixed point problem of an asymptotically nonexpansive mapping in CAT(0) spaces. We also give a numerical example to solve an optimization problem in a CAT(0) space to support our main result.
引用
收藏
页码：1509 / 1523
页数：15
相关论文
共 50 条
  • [31] AN EXTRAGRADIENT ALGORITHM FOR FIXED POINT PROBLEMS AND PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
    Yao, Zhangsong
    Liou, Yeong-Cheng
    Zhu, Li-Jun
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (04): : 89 - 96
  • [32] An extragradient algorithm for fixed point problems and pseudomonotone equilibrium problems
    Yao, Zhangsong
    Liou, Yeong-Cheng
    Zhu, Li-Jun
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2020, 82 (04): : 89 - 96
  • [33] A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping
    Zi-Ming Wang
    Yongfu Su
    Sun Young Cho
    Wandong Lou
    [J]. Journal of Global Optimization, 2011, 50 : 457 - 472
  • [34] A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping
    Wang, Zi-Ming
    Su, Yongfu
    Cho, Sun Young
    Lou, Wandong
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 50 (03) : 457 - 472
  • [35] On Strong Convergence by the Hybrid Method for Equilibrium and Fixed Point Problems for an Inifnite Family of Asymptotically Nonexpansive Mappings
    Gang Cai
    Changsong Hu
    [J]. Fixed Point Theory and Applications, 2009
  • [36] AN EXTRAGRADIENT-LIKE METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
    Wang, Yaqin
    Gu, Feng
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (04) : 733 - 752
  • [37] Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
    Inchan, Issara
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (03) : 467 - 478
  • [38] On Strong Convergence by the Hybrid Method for Equilibrium and Fixed Point Problems for an Inifnite Family of Asymptotically Nonexpansive Mappings
    Cai, Gang
    Hu, Chang Song
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [39] A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi-φ-asymptotically nonexpansive mappings in Banach spaces
    Zhao, Jing
    He, Songnian
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [40] Extragradient Method for Fixed Points in CAT(0) Spaces
    Lv, Yu-Pei
    Shabbir, Khurram
    Shahzeen, Sundus
    Ali, Farman
    Kafle, Jeevan
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
12345