Two inertial linesearch extragradient algorithms for the bilevel split pseudomonotone variational inequality with constraints

被引:0
|
作者
Ceng L.-C. [1 ]
机构
[1] Department of Mathematics, Shanghai Normal University, Shanghai
来源
Journal of Applied and Numerical Optimization | 2020年 / 2卷 / 02期
关键词
Bilevel split variational inequality problem; Fixed point problem; Inertial linesearch extragradient method; Strong convergence;
D O I
10.23952/jano.2.2020.2.07
中图分类号
学科分类号
摘要
In this paper, two modified inertial linesearch extragradient algorithms are investigated for finding a solution of the bilevel split variational inequality problem with the fixed-point constraint of a quasi-nonexpansive mapping. Two strong convergence theorems of solutions are established without the Lipschitz continuity assumption of pseudomonotone mappings. © 2020 Journal of Applied and Numerical Optimization.
引用
收藏
页码:213 / 233
页数:20
相关论文
共 50 条
  • [31] MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS WITH THE CONSTRAINT OF NONEXPANSIVE MAPPINGS
    Ceng, Lu-Chuan
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (02): : 281 - 297
  • [32] A Strongly Convergent Subgradient Extragradient-Halpern Method for Solving a Class of Bilevel Pseudomonotone Variational Inequalities
    Anh T.V.
    Vietnam Journal of Mathematics, 2017, 45 (3) : 317 - 332
  • [33] Split equality variational inequality problems for pseudomonotone mappings in Banach spaces
    Boikanyo, Oganeditse A.
    Zegeye, Habtu
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (01): : 139 - 158
  • [34] Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points
    Ceng, Lu-Chuan
    Chen, Shih-Hsin
    Liou, Yeong-Cheng
    Yin, Tzu-Chien
    AIMS MATHEMATICS, 2024, 9 (06): : 13819 - 13842
  • [35] Quasi-Inertial Tseng's Extragradient Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Quasi-Nonexpansive Operators
    Zhao, Tu-Yan
    Wang, Dan-Qiong
    Ceng, Lu-Chuan
    He, Long
    Wang, Chun-Yan
    Fan, Hong-Ling
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 42 (01) : 69 - 90
  • [36] Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
    Duong Viet Thong
    Dang Van Hieu
    OPTIMIZATION, 2018, 67 (01) : 83 - 102
  • [37] Modified Tseng's extragradient algorithms for variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (04)
  • [38] An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems
    Okeke, Chibueze C.
    Ugwunnadi, Godwin C.
    Jolaoso, Lateef O.
    DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 506 - 527
  • [39] A MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS
    Ceng, L. C.
    Petrusel, A.
    Qin, X.
    Yao, J. C.
    FIXED POINT THEORY, 2020, 21 (01): : 93 - 108
  • [40] ADAPTIVE INERTIAL SUBGRADIENT EXTRAGRADIENT METHODS FOR FINDING MINIMUM-NORM SOLUTIONS OF PSEUDOMONOTONE VARIATIONAL INEQUALITIES
    Tan, Bing
    LI, Songxiao
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (10) : 7640 - 7659