OPTIMALITY CONDITIONS AND DUALITY IN NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING

被引：0

作者：

Bae, Kwan Deok ^{[1
]}

Shitkovskaya, Tatiana ^{[2
]}

Hong, Zhe ^{[3
]}

Kim, Do Sang ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea

[2] UNOMIC Ltd, Digital Twin Dept, Busan, South Korea

[3] Yanbian Univ, Coll Sci, Dept Math, Yanji 133002, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Fractional multiobjective optimization; Mordukhovich; limiting subdif-ferential; duality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on optimality conditions and duality for multiobjective fractional programming problems (P, for short). Employing some advanced tools of variational analysis and generalized differentiation, we establish necessary optimality conditions for weakly efficient solutions of (P) with finitely many inequality constraints. Sufficient conditions for such solutions to the considered problem are also provided via generalized convex functions. In addition, we formulate a dual problem to (P) and explore duality relationships between them by using parametric approach. Examples are given to illustrate the obtained results.

引用

页码：99 / 112

页数：14

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