The variational inequality problem in Hilbert spaces endowed with graphs

被引：7
|
作者：
Kangtunyakarn, Atid [1 ]
机构：
[1] King Mongkuts Inst Technol, Fac Sci, Dept Math, Bangkok 10520, Thailand
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 22卷 / 01期
关键词：
G-variational inequality problem; G-inverse strongly monotone mapping;
D O I：
10.1007/s11784-019-0736-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the concept of graph theory, we introduce the concept of G-variational inequality problems which is different from general variational inequality problems in a Hilbert space and use the new techniques to prove convergence theory to solve such problem and fixed point problem of G-nonexpansive mapping in a Hilbert spaces endowed with graphs. We also provide numerical examples to support our main results.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] The variational inequality problem in Hilbert spaces endowed with graphs
    Atid Kangtunyakarn
    Journal of Fixed Point Theory and Applications, 2020, 22
  • [2] A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs
    Wongvisarut Khuangsatung
    Akarate Singta
    Atid Kangtunyakarn
    Journal of Inequalities and Applications, 2024
  • [3] A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs
    Khuangsatung, Wongvisarut
    Singta, Akarate
    Kangtunyakarn, Atid
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)
  • [4] Approximating G-variational inequality problem by G-subgradient extragradient method in Hilbert space endowed with graphs
    Raveeporn, Autcha
    Heawborisut, Araya
    Angtunyakarn, Atid
    CARPATHIAN JOURNAL OF MATHEMATICS, 2023, 39 (02) : 359 - 369
  • [5] Solving Bilevel Quasimonotone Variational Inequality Problem In Hilbert Spaces
    Peter, D. O.
    Mebawondu, A. A.
    Ugwunnadi, G. C.
    Pillay, P.
    Narain, O. K.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [6] The Dynamical System for System of Variational Inequality Problem in Hilbert Spaces
    Petrot, Narin
    Tangkhawiwetkul, Jittiporn
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04): : 541 - 558
  • [7] Regularization and iterative method for general variational inequality problem in hilbert spaces
    Cho, Yeol J. E.
    Petrot, Narin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [8] Regularization and iterative method for general variational inequality problem in hilbert spaces
    Yeol JE Cho
    Narin Petrot
    Journal of Inequalities and Applications, 2011
  • [9] A neural network for solving the generalized inverse mixed variational inequality problem in Hilbert Spaces
    Tangkhawiwetkul, Jittiporn
    AIMS MATHEMATICS, 2023, 8 (03): : 7258 - 7276
  • [10] An efficient algorithm for solving the split mixed variational inequality problem in real Hilbert spaces
    Hanh, Pham Thi Minh
    Reich, Simeon
    Ha, Nguyen Song
    Tuyen, Truong Minh
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2025, 119 (01)
12345