Extragradient method with inertial iterative technique for pseudomonotone split equilibrium and fixed point problems of new mappings

被引：1
|
作者：
Farid, Mohammad [1 ]
Peeyada, Pronpat [2 ]
Ali, Rehan [3 ]
Cholamjiak, Watcharaporn [2 ]
机构：
[1] Qassim Univ, Dept Math, Deanship Educ Serv, Buraydah 51452, Saudi Arabia
[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand
[3] Chandigarh Univ, Univ Inst Sci, Dept Math, Chandigarh 140413, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期
关键词：
Split equilibrium problem; Nonexpansive mappings; Pseudomonotone; Extragradient method; Iterative methods; Inertial technique; Fixed-point problem; VARIATIONAL-INEQUALITIES; CONVERGENCE THEOREMS; FEASIBILITY PROBLEM; WEAK-CONVERGENCE; COMMON SOLUTION; ALGORITHM;
D O I：
10.1007/s41478-023-00695-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop an inertial iterative algorithm using a new extragradient method to find the common solution for pseudomonotone split equilibrium and split fixed point problems in real Hilbert spaces. Further, we study the convergence analysis for a sequence generated by main algorithm. Furthermore, we construct the numerical example to illustrate the importance of our acquired result.
引用
收藏
页码：1463 / 1485
页数：23
相关论文
共 50 条
  • [1] Hybrid inertial accelerated extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems of demicontractive mappings
    Hanjing, Adisak
    Suantai, Suthep
    Cho, Yeol Je
    [J]. FILOMAT, 2023, 37 (05) : 1607 - 1623
  • [2] A Hybrid Extragradient Method for Pseudomonotone Equilibrium Problems and Fixed Point Problems
    Pham Ngoc Anh
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (01) : 107 - 116
  • [3] Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces
    Xie, Zhongbing
    Cai, Gang
    Tan, Bing
    [J]. OPTIMIZATION, 2024, 73 (05) : 1329 - 1354
  • [4] AN ACCELERATED EXTRAGRADIENT ALGORITHM FOR FIXED POINT, PSEUDOMONOTONE EQUILIBRIUM AND SPLIT NULL POINT PROBLEMS
    Arfat, Yasir
    Kumam, Poom
    Khan, Muhammad Aqeel Ahmad
    Ngiamsunthorn, Parinya Sa
    [J]. FIXED POINT THEORY, 2023, 24 (02): : 507 - 524
  • [5] EXTRAGRADIENT ALGORITHMS FOR SPLIT PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES
    Wang, Shenghua
    Zhang, Yifan
    Wang, Wenxin
    Guo, Haichao
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
  • [6] A NEW EXTRAGRADIENT METHOD FOR EQUILIBRIUM, SPLIT FEASIBILITY AND FIXED POINT PROBLEMS
    Yazdi, Maryam
    Sababe, Saeed Hashemi
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 759 - 773
  • [7] Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems
    Akutsah, Francis
    Mebawondu, Akindele Adebayo
    Ofem, Austine Efut
    George, Reny
    Nabwey, Hossam A.
    Narain, Ojen Kumar
    [J]. AIMS MATHEMATICS, 2024, 9 (07): : 17276 - 17290
  • [8] 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
  • [9] 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
  • [10] A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
    Jolaoso L.O.
    Aphane M.
    [J]. Fixed Point Theory and Applications, 2020 (1)
12345