OPTIMALITY AND DUALITY FOR NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROBLEMS USING CONVEXIFICATORS

被引：7

作者：

Do Van Luu ^{[1
,2
]}

Pham Thi Linh ^{[3
]}

机构：

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

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

[3] Thai Nguyen Univ Econ & Business Adm, Thai Nguyen, Vietnam

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2021年

关键词：

Multiobjiective fractional problem; Local weak efficient solution; Fritz John and Kuhn-Tucker efficiency conditions; Convexificator; Duality of Wolfe and Mond-Weir types;

D O I：

10.23952/jnfa.2021.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents Fritz John necessary conditions for the weak efficiency of multiobjective fractional optimization problems involving equality, inequality and set constraints. With a constraint qualification of Mangasarian-Fromovitz type, Kuhn-Tucker necessary efficiency conditions are established. Under assumptions on generalized convexity, sufficient conditions for weak efficiency are also given together with the theorems of the weak duality, the strong duality, and the inverse duality of Wolfe and Mond-Weir types.

引用

页数：22

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