OPTIMALITY CONDITIONS FOR WEAKLY EFFICIENT SOLUTIONS OF VECTOR VARIATIONAL INEQUALITIES VIA CONVEXIFICATORS

被引：4
|
作者：
Tran Thi Mai [1 ]
Do Van Luu [2 ,3 ]
机构：
[1] Thai Nguyen Univ Econ & Business Adm, Thai Nguyen, Vietnam
[2] Thang Long Univ, TIMAS, Hanoi, Vietnam
[3] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2018年 / 2卷 / 03期
关键词：
Vector variational inequality; Weakly efficient solution; Fritz John and Karush-Kuhn-Tucker efficiency conditions; Convexificators; Locally Lipschitz functions; SUFFICIENT CONDITIONS; CALCULUS;
D O I：
10.23952/jnva.2.2018.3.10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fritz John necessary conditions for weakly efficient solutions of nonsmooth vector variational inequality problems with constraints in terms of convexificators are derived. Karush-Kuhn-Tucker necessary efficiency conditions are established under aMangasarian-Fromovitz type constraint qualification. Finally, sufficient conditions are given under suitable assumptions on the generalized convexity.
引用
收藏
页码：379 / 389
页数：11
相关论文
共 50 条
  • [21] Optimality conditions for robust weakly efficient solutions in uncertain optimization
    Zhai, Yuwen
    Wang, Qilin
    Tang, Tian
    Lv, Maoyuan
    [J]. OPTIMIZATION LETTERS, 2024,
  • [22] Efficient solutions and optimality conditions for vector equilibrium problems
    Do Van Luu
    Dinh Dieu Hang
    [J]. Mathematical Methods of Operations Research, 2014, 79 : 163 - 177
  • [23] On relationships between vector optimization problems and vector variational inequalities using directional convexificators
    Gadhi, Nazih Abderrazzak
    Ohda, Mohamed
    [J]. OPTIMIZATION, 2024,
  • [24] ON INTERVAL-VALUED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS WITH GENERALIZED APPROXIMATE INVEXITY VIA CONVEXIFICATORS
    Bhardwaj, Rohit Kumar
    Ram, Tirth
    [J]. MATHEMATICAL FOUNDATIONS OF COMPUTING, 2023,
  • [25] On Optimality Conditions in Control of Elliptic Variational Inequalities
    Jiří Outrata
    Jiří Jarušek
    Jana Stará
    [J]. Set-Valued and Variational Analysis, 2011, 19 : 23 - 42
  • [26] On Optimality Conditions in Control of Elliptic Variational Inequalities
    Outrata, Jiri
    Jarusek, Jiri
    Stara, Jana
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2011, 19 (01) : 23 - 42
  • [27] OPTIMALITY CONDITIONS FOR ELLIPTIC VARIATIONAL-INEQUALITIES
    LIU, WB
    RUBIO, JE
    [J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1990, 144 : 154 - 163
  • [28] Weakly Set Valued Generalized Vector Variational Inequalities
    Anastassiou, George A.
    Salahuddin
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (04) : 622 - 632
  • [29] Second-order asymptotic differential properties and optimality conditions for weak vector variational inequalities
    S. J. Li
    J. Zhai
    [J]. Optimization Letters, 2012, 6 : 503 - 523
  • [30] Second-order asymptotic differential properties and optimality conditions for weak vector variational inequalities
    Li, S. J.
    Zhai, J.
    [J]. OPTIMIZATION LETTERS, 2012, 6 (03) : 503 - 523
12345