COMMON SOLUTION TO A SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEM, A SPLIT EQUALITY GENERALIZED GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM AND A SPLIT EQUALITY FIXED POINT PROBLEM

被引：11
|
作者：
Kazmi, K. R. [1 ]
Ali, Rehan [1 ]
Furkan, Mohd [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
FIXED POINT THEORY | 2019年 / 20卷 / 01期
关键词：
Split equality monotone variational inclusion problem; split equality generalized general variational-like inequality problem; split equality fixed point problem; iterative method; CONVEX FEASIBILITY; ITERATIVE ALGORITHMS; CONVERGENCE THEOREMS; CQ-ALGORITHM; PROJECTION; HILBERT; WEAK;
D O I：
10.24193/fpt-ro.2019.1.14
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a strong convergence theorem for an iterative method for approximating a common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a split equality fixed point problem for quasi-nonexpansive mappings in real Hilbert spaces. Some consequences are derived from the main result. Finally, we give a numerical example to justify the main result. The main result extends and unifies some recent known results in the literature.
引用
收藏
页码：211 / 231
页数：21
相关论文
共 50 条
  • [21] SOLVING THE SPLIT EQUALITY HIERARCHICAL FIXED POINT PROBLEM
    Djafari-Rouhani, B.
    Kazmi, K. R.
    Moradi, S.
    Ali, Rehan
    Khan, S. A.
    FIXED POINT THEORY, 2022, 23 (01): : 351 - 354
  • [22] A NEW MAPPING FOR FINDING A COMMON SOLUTION OF SPLIT GENERALIZED EQUILIBRIUM PROBLEM, VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM
    Farid, Mohammad
    Kazmi, Kaleem Raza
    KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (02): : 297 - 327
  • [23] Strong Convergence Theorems for Variational Inequalities and Split Equality Problem
    Wu, Yu Jing
    Chen, Ru Dong
    Shi, Luo Yi
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [24] A new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problem
    Haitao Che
    Haibin Chen
    Meixia Li
    Numerical Algorithms, 2018, 79 : 1231 - 1256
  • [25] A new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problem
    Che, Haitao
    Chen, Haibin
    Li, Meixia
    NUMERICAL ALGORITHMS, 2018, 79 (04) : 1231 - 1256
  • [26] General alternative regularization methods for split equality common fixed-point problem
    Zhao, Jing
    Jia, Yunnuan
    Zhang, Hang
    OPTIMIZATION, 2018, 67 (05) : 619 - 635
  • [27] Variational inequality problem over the solution set of split monotone variational inclusion problem with application to bilevel programming problem
    Eslamian, M.
    FILOMAT, 2023, 37 (24) : 8361 - 8376
  • [28] On split generalized mixed equality equilibrium and split equality fixed point problems
    Chidume C.E.
    Adamu A.
    Applied Set-Valued Analysis and Optimization, 2020, 2 (03): : 273 - 283
  • [29] A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS
    Sun, Wenlong
    Liu, Yanqiu
    Jin, Yuanfeng
    Park, Choonkil
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1677 - 1693
  • [30] The Split Equality Fixed-Point Problem and Its Applications
    Mohammed, Lawan Bulama
    Kilicman, Adem
    AXIOMS, 2024, 13 (07)
12345