Optimality conditions for a bilevel optimization problem in terms of KKT multipliers and convexificators

被引:3
|
作者
Abderrazzak Gadhi, Nazih [1 ]
Lafhim, Lahoussine [1 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, Dhar El Mahraz, Fes, Morocco
关键词
bilevel optimization; constraint qualification; optimality conditions; PROGRAMMING PROBLEM; MARGINAL FUNCTIONS;
D O I
10.17535/crorr.2019.0026
中图分类号
F [经济];
学科分类号
02 ;
摘要
In this paper we investigate a bilevel optimization problem by using the optimistic approach. Under a non smooth generalized Guignard constraint qualification, due the optimal value reformulation, the necessary optimality conditions in terms of convexificators and Karush-Kuhn-Tucker (KKT) multipliers are given.
引用
收藏
页码:329 / 335
页数:7
相关论文
共 50 条
  • [31] Optimality conditions in optimization problems with convex feasible set using convexificators
    Alireza Kabgani
    Majid Soleimani-damaneh
    Moslem Zamani
    Mathematical Methods of Operations Research, 2017, 86 : 103 - 121
  • [32] Optimality conditions in optimization problems with convex feasible set using convexificators
    Kabgani, Alireza
    Soleimani-damaneh, Majid
    Zamani, Moslem
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2017, 86 (01) : 103 - 121
  • [33] Optimality Conditions for a Simple Convex Bilevel Programming Problem
    Dempe, S.
    Dinh, N.
    Dutta, J.
    VARIATIONAL ANALYSIS AND GENERALIZED DIFFERENTIATION IN OPTIMIZATION AND CONTROL: IN HONOR OF BORIS S. MORDUKHOVICH, 2010, 47 : 149 - +
  • [34] Sufficient optimality conditions and duality results for a bilevel multiobjective optimization problem via a ψ reformulation
    Gadhi, N.
    Hamdaoui, K.
    El Idrissi, M.
    OPTIMIZATION, 2020, 69 (04) : 681 - 702
  • [35] Sufficient Optimality Conditions for a Bilevel Semivectorial DC Problem
    Gadhi, Nazih Abderrazzak
    Dempe, Stephan
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (15) : 1622 - 1634
  • [36] OPTIMALITY CONDITIONS FOR SPECIAL SEMIDEFINITE BILEVEL OPTIMIZATION PROBLEMS
    Dempe, Stephan
    Kue, Floriane Mefo
    Mehlitz, Patrick
    SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (02) : 1564 - 1587
  • [37] Optimality conditions for nonsmooth multiobjective bilevel optimization problems
    Chuong, Thai Doan
    ANNALS OF OPERATIONS RESEARCH, 2020, 287 (02) : 617 - 642
  • [38] Necessary optimality conditions for bilevel set optimization problems
    Dempe, S.
    Gadhi, N.
    JOURNAL OF GLOBAL OPTIMIZATION, 2007, 39 (04) : 529 - 542
  • [39] Optimality conditions for mixed discrete bilevel optimization problems
    Dempe, S.
    Kue, F. Mefo
    Mehlitz, P.
    OPTIMIZATION, 2018, 67 (06) : 737 - 756
  • [40] Necessary optimality conditions for bilevel set optimization problems
    S. Dempe
    N. Gadhi
    Journal of Global Optimization, 2007, 39 : 529 - 542