Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

被引：0
|
作者：
Yasir Arfat
Poom Kumam
Parinya Sa Ngiamsunthorn
Muhammad Aqeel Ahmad Khan
Hammad Sarwar
Hafiz Fukhar-ud-Din
机构：
[1] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Research Laboratory, KMUTT
[2] King Mongkut’s University of Technology Thonburi (KMUTT),Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculity of Science
[3] China Medical University,Center of Excellence in Theoretical and Computational Science (TaCS
[4] King Mongkut’s University of Technology Thonburi (KMUTT),CoE), Science Laboratory Building
[5] COMSATS University Islamabad,Department of Medical Research, China Medical University Hospital
[6] The Islamia University of Bahawalpur,Department of Mathematics, Faculty of Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Extragradient method; Split equilibrium problem; Fixed point problem; Nonexpansive semigroup; Weak and strong convergence; 47H05; 47H09; 47J05; 49H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces. The weak and strong convergence characteristics of the proposed algorithm are investigated by employing suitable control conditions in such a setting of spaces. As a consequence, we provide a simplified analysis of various existing results concerning the extragradient method in the current literature. We also provide a numerical example to strengthen the theoretical results and the applicability of the proposed algorithm.
引用
收藏
相关论文
共 50 条
  • [1] Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces
    Arfat, Yasir
    Kumam, Poom
    Ngiamsunthorn, Parinya Sa
    Khan, Muhammad Aqeel Ahmad
    Sarwar, Hammad
    Fukhar-ud-Din, Hafiz
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [2] An Iterative Method for Equilibrium, Variational Inequality, and Fixed Point Problems for a Nonexpansive Semigroup in Hilbert Spaces
    Nguyen Thi Thu Thuy
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 113 - 130
  • [3] An Iterative Method for Equilibrium, Variational Inequality, and Fixed Point Problems for a Nonexpansive Semigroup in Hilbert Spaces
    Nguyen Thi Thu Thuy
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 113 - 130
  • [4] Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces
    Uthai Kamraksa
    Rabian Wangkeeree
    [J]. Journal of Global Optimization, 2011, 51 : 689 - 714
  • [5] Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces
    Kamraksa, Uthai
    Wangkeeree, Rabian
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (04) : 689 - 714
  • [6] ON SOLVING SPLIT EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF α-NONEXPANSIVE MULTI-VALUED MAPPINGS IN HILBERT SPACES
    Li, Yang
    Zhang, Congjun
    Wang, Yuehu
    [J]. FIXED POINT THEORY, 2023, 24 (02): : 641 - 660
  • [7] Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces
    Witthayarat, Uamporn
    Abdou, Afrah A. N.
    Cho, Yeol Je
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 14
  • [8] Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces
    Uamporn Witthayarat
    Afrah A N Abdou
    Yeol Je Cho
    [J]. Fixed Point Theory and Applications, 2015
  • [9] SOME RESULTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES
    Cho, Yeol Je
    Qin, Xiaolong
    Kang, Shin Min
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2009, 11 (02) : 294 - 316
  • [10] SPLIT FIXED POINT PROBLEMS FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES
    Sharma, Shagun
    Chandok, Sumit
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (01): : 109 - 118
12345