Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints

被引：7

作者：

Kohli, Bhawna ^{[1
]}

机构：

[1] Univ Delhi, PGDAV Coll, Dept Math, Delhi 110065, India

来源：

RAIRO-OPERATIONS RESEARCH | 2019年 / 53卷 / 05期

关键词：

Mathematical programs with equilibrium constraints; Convexifactors; Guignard constraint qualification; Strong stationarity; Optimality conditions; OPTIMIZATION PROBLEMS; GENERALIZED CONVEXITY; DUALITY; QUALIFICATIONS; STATIONARITY; TERMS;

D O I：

10.1051/ro/2018084

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The main aim of this paper is to develop necessary Optimality conditions using Convexifactors for mathematical programs with equilibrium constraints (MPEC). For this purpose a nonsmooth version of the standard Guignard constraint qualification (GCQ) and strong stationarity are introduced in terms of convexifactors for MPEC. It is shown that Strong stationarity is the first order necessary optimality condition under nonsmooth version of the standard GCQ. Finally, notions of asymptotic pseudoconvexity and asymptotic quasiconvexity are used to establish the sufficient optimality conditions for MPEC.

引用

页码：1617 / 1632

页数：16

共 50 条

[21] Necessary Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints
Yan-Chao Liang
Xi-De Zhu
Gui-Hua Lin
[J]. Set-Valued and Variational Analysis, 2014, 22 : 59 - 78
[22] A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints
Flegel, ML
Kanzow, C
[J]. OPTIMIZATION, 2003, 52 (03) : 277 - 286
[23] Optimality Conditions for Mathematical Programs with Vanishing Constraints Using Directional Convexificators
Mohapatra, Ram Narayan
Sachan, Prachi
Laha, Vivek
[J]. AXIOMS, 2024, 13 (08)
[24] Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints
Laemmel, S.
Shikhman, V.
[J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2023, 31 (01)
[25] Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives
Tran Van Su
Nguyen Duc Hien
[J]. Optimization and Engineering, 2020, 21 : 585 - 609
[26] Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives
Tran Van Su
Nguyen Duc Hien
[J]. OPTIMIZATION AND ENGINEERING, 2020, 21 (02) : 585 - 609
[27] Optimality Conditions for Mathematical Programs with Orthogonality Type Constraints
S. Lämmel
V. Shikhman
[J]. Set-Valued and Variational Analysis, 2023, 31
[28] A NOTE ON THE PAPER "SUFFICIENT OPTIMALITY CONDITIONS USING CONVEXIFACTORS FOR OPTIMISTIC BILEVEL PROGRAMMING PROBLEM"
Gadhi, Nazih Abderrazzak
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 18 (05) : 3073 - 3081
[29] NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH EQUILIBRIUM CONSTRAINTS
Guo, Lei
Ye, Jane J.
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (05) : 2710 - 2733
[30] Necessary and Sufficient Optimality Conditions for Vector Equilibrium Problems on Hadamard Manifolds
Ruiz-Garzon, Gabriel
Osuna-Gomez, Rafaela
Ruiz-Zapatero, Jaime
[J]. SYMMETRY-BASEL, 2019, 11 (08):

← 1 2 3 4 5 →