Solving System of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces

被引：0
|
作者：
Abass, H. A. [1 ,4 ]
Aphane, M. [1 ]
Oyewole, O. K. [2 ]
Narain, O. K. [3 ]
Mustafoyev, K. I. [4 ]
机构：
[1] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Pretoria, South Africa
[2] Tshwane Univ Technol, Dept Math, PMB 0007, Pretoria, South Africa
[3] Univ Kwazulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[4] Asia Int Univ, Ctr Res & Innovat, Yangiobod MFY, Goijduvon St,House 74, Bukhara, Uzbekistan
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2025年 / 18卷 / 02期
关键词：
Bregman demigeneralized mapping; monotone operators; self-adapative method; split common fixed point problem; FIXED-POINT PROBLEM; STRONG-CONVERGENCE; ALGORITHM; ITERATION; OPERATORS;
D O I：
10.29020/nybg.ejpam.v18i2.6062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduce a self-adaptive method for approximating solutions of split common fixed point problem of Bregman demigeneralized mappings and system of monotone variational inclusion problem with multiple output sets in reflexive Banach spaces. By employing our iterative method, we prove a strong convergence theorem for approximating solutions of the aforementioned problems. In summary, we state some consequences of our main result. The result discuss in this paper extends and complements many related results in literature.
引用
收藏
页数：22
相关论文
共 50 条
  • [21] A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces
    Fei Ma
    Journal of Inequalities and Applications, 2020
  • [22] A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces
    Ma, Fei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [23] On solving general split equality variational inclusion problems in Banach space
    Zhao, J.
    Liang, Y. S.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3619 - 3629
  • [24] A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces
    Jolaoso, Lateef Olakunle
    DEMONSTRATIO MATHEMATICA, 2021, 54 (01) : 527 - 547
  • [25] On split generalized equilibrium and fixed point problems with multiple output sets in real Banach spaces
    Abass, H. A.
    Oyewole, O. K.
    Narain, O. K.
    Jolaoso, L. O.
    Olajuwon, B. I.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (08)
  • [26] ON FINITE FAMILY OF MONOTONE VARIATIONAL INCLUSION PROBLEMS IN REFLEXIVE BANACH SPACE
    Izuchukwu, C.
    Ogwo, G. N.
    Mebawondu, A. A.
    Mewomo, O. T.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (03): : 89 - 104
  • [27] GEOMETRIC INEQUALITIES FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS IN CERTAIN BANACH SPACES
    Adamu, A.
    Chidume, C. E.
    Kitkuan, D.
    Kumam, P.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2023, 7 (02): : 267 - 278
  • [28] A Tseng extragradient method for solving variational inequality problems in Banach spaces
    Oyewole, O. K.
    Abass, H. A.
    Mebawondu, A. A.
    Aremu, K. O.
    NUMERICAL ALGORITHMS, 2022, 89 (02) : 769 - 789
  • [29] STRICT FEASIBILITY OF VARIATIONAL INCLUSION PROBLEMS IN REFLEXIVE BANACH SPACES
    Luo, Xue-Ping
    Xiao, Yi-Bin
    Li, Wei
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 16 (05) : 2495 - 2502
  • [30] Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces
    Zegeye, Habtu
    Shahzad, Naseer
    OPTIMIZATION LETTERS, 2011, 5 (04) : 691 - 704
12345