An algorithm for solving a multi-valued variational inequality

被引:6
|
作者
Fang, Changjie [1 ]
Chen, Shenglan [1 ]
Yang, Chunde [1 ]
机构
[1] Chongqing Univ Posts & Telecommun, Inst Appl Math, Chongqing 400065, Peoples R China
关键词
variational inequality; multi-valued mapping; extragradient method; EXTRAGRADIENT METHOD; MONOTONE;
D O I
10.1186/1029-242X-2013-218
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a new extragradient method for solving a multi-valued variational inequality. It is showed that the method converges globally to a solution of the multi-valued variational inequality, provided the multi-valued mapping is continuous with nonempty compact convex values. Preliminary computational experience is also reported.
引用
收藏
页数:9
相关论文
共 50 条
  • [21] A double projection algorithm for multi-valued variational inequalities and a unified framework of the method
    Fang, Changjie
    He, Yiran
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9543 - 9551
  • [22] Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators
    Carl, Siegfried
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 92 : 138 - 152
  • [23] SPLIT EQUILIBRIUM, VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS FOR MULTI-VALUED MAPPINGS IN HILBERT SPACES
    Zhao, Jing
    Liang, Yunshui
    Liu, Yiliang
    Cho, Yeol Je
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2018, 17 (03) : 271 - 283
  • [24] A projection-type method for solving multi-valued variational inequalities and fixed point problems
    Zhang, Lixin
    Fang, Changjie
    Chen, Shenglan
    OPTIMIZATION, 2017, 66 (12) : 2329 - 2344
  • [25] AN INERTIAL TSENG'S EXTRAGRADIENT METHOD FOR SOLVING MULTI-VALUED VARIATIONAL INEQUALITIES WITH ONE PROJECTION
    Fang, Changjie
    Zhang, Ruirui
    Chen, Shenglan
    PACIFIC JOURNAL OF OPTIMIZATION, 2022, 18 (01): : 139 - 153
  • [26] The Modified Inertial Iterative Algorithm for Solving Split Variational Inclusion Problem for Multi-Valued Quasi Nonexpansive Mappings with Some Applications
    Phairatchatniyom, Pawicha
    Kumam, Poom
    Cho, Yeol Je
    Jirakitpuwapat, Wachirapong
    Sitthithakerngkiet, Kanokwan
    MATHEMATICS, 2019, 7 (06)
  • [27] A CLASS OF MULTI-VALUED QUASI-VARIATIONAL INEQUALITIES
    Kazmi, K. R.
    Bhat, M. I.
    Khan, F. A.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2005, 6 (03) : 487 - 495
  • [28] MULTI-VALUED VARIATIONAL INCLUSION PROBLEM IN HADAMARD MANIFOLDS
    Dilshad, Mohammad
    Akram, Mohammad
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 12 (01): : 29 - 40
  • [29] Multi-valued variational inclusion problem and convergence analysis
    Balooee, Javad
    Chang, Shih-sen
    Yao, Jen-Chih
    Liu, Min
    FILOMAT, 2024, 38 (12) : 4325 - 4354
  • [30] MULTI-VALUED QUASI VARIATIONAL INCLUSIONS IN BANACH SPACES
    张石生
    AppliedMathematicsandMechanics(EnglishEdition), 2004, (06) : 627 - 635