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
  • [41] Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
    Hanjing, Adisak
    Suantai, Suthep
    [J]. NUMERICAL ALGORITHMS, 2020, 85 (03) : 1051 - 1073
  • [42] PARALLEL EXTRAGRADIENT ALGORITHMS FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF NONSELF-NONEXPANSIVE MAPPINGS IN HILBERT SPACE
    Wang, Lu
    Yu, Lanxiang
    Li, Tian
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
  • [43] Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
    Adisak Hanjing
    Suthep Suantai
    [J]. Numerical Algorithms, 2020, 85 : 1051 - 1073
  • [44] An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings
    Wangkeeree, Rabian
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [45] ON INERTIAL TYPE SELF-ADAPTIVE ITERATIVE ALGORITHMS FOR SOLVING PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
    Ogbuisi, F. U.
    Iyiola, O. S.
    Ngnotchouye, J. M. T.
    Shumba, T. M. M.
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021,
  • [46] On inertial type self-adaptive iterative algorithms for solving pseudomonotone equilibrium problems and fixed point problems
    Ogbuisi, F.U.
    Iyiola, O.S.
    Ngnotchouye, J.M.T.
    Shumba, T.M.M.
    [J]. Journal of Nonlinear Functional Analysis, 2021, 2021 (01):
  • [47] An Extragradient Approximation Method for Equilibrium Problems and Fixed Point Problems of a Countable Family of Nonexpansive Mappings
    Rabian Wangkeeree
    [J]. Fixed Point Theory and Applications, 2008
  • [48] A parallel viscosity extragradient method for solving a system of pseudomonotone equilibrium problems and fixed point problems in Hadamard spaces
    Aremu, Kazeem Olalekan
    Jolaoso, Lateef Olakunle
    Aphane, Maggie
    Oyewole, Olawale Kazeem
    [J]. RICERCHE DI MATEMATICA, 2024, 73 (02) : 819 - 840
  • [49] A parallel viscosity extragradient method for solving a system of pseudomonotone equilibrium problems and fixed point problems in Hadamard spaces
    Kazeem Olalekan Aremu
    Lateef Olakunle Jolaoso
    Maggie Aphane
    Olawale Kazeem Oyewole
    [J]. Ricerche di Matematica, 2024, 73 : 819 - 840
  • [50] An inertial extragradient algorithm for equilibrium and generalized split null point problems
    Arfat, Yasir
    Kumam, Poom
    Khan, Muhammad Aqeel Ahmad
    Ngiamsunthorn, Parinya Sa
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 48 (05)
12345