Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency

被引：0

作者：

Luu, Do Van ^{[1
,2
]}

Tung, Nguyen Lam ^{[3
]}

机构：

[1] Thang Long Univ, TIMAS, Hanoi, Vietnam

[2] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

[3] Thang Long Univ, Math Dept, Hanoi, Vietnam

来源：

JOURNAL OF CONVEX ANALYSIS | 2024年 / 31卷 / 03期

关键词：

Multiobjective fractional programming; local weak efficient solution; Fritz John and Kuhn-Tucker necessary conditions; DUALITY; CONVEXIFICATORS; OPTIMIZATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Second-order Fritz John primal and dual necessary conditions for weak efficiency of multiobjective fractional programs involving equality, inequality and set constraints are established. With a constraint qualification of Mangasarian-Fromovitz type, Kuhn-Tucker necessary conditions are provided as well as sufficient conditions for weak efficiency.

引用

页码：947 / 958

页数：12

共 23 条

[1] Aubin JP, 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0
[2] Bonnans J.F., 2000, PERTURBATION ANAL OP
[3] Clarke F. H., 1983, OPTIMIZATION NONSMOO
[4] OPTIMALITY AND DUALITY FOR NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROBLEMS USING CONVEXIFICATORS
Do Van Luu
Pham Thi Linh
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021,
[5] Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems
Do Van Luu
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2018, 70 (02) : 437 - 453
[6] Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications
Do Van Luu
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 171 (02) : 643 - 665
[7] Necessary and Sufficient Conditions for Efficiency Via Convexificators
Do Van Luu
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 160 (02) : 510 - 526
[8] Necessary and sufficient optimality conditions for fractional multi-objective problems
Gadhi, N.
[J]. OPTIMIZATION, 2008, 57 (04) : 527 - 537
[9] Giorgi G, 1998, NONCON OPTIM ITS APP, V27, P389
[10] Scalarization and optimality conditions for vector equilibrium problems
Gong, Xun-Hua
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (11) : 3598 - 3612

← 1 2 3 →