OPTIMALITY CONDITIONS FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING, VIA CONVEXIFICATORS

被引：10

作者：

Hejazi, Mansoureh Alavi ^{[1
]}

Nobakhtian, Soghra ^{[1
,2
]}

机构：

[1] Univ Isfahan, Dept Math, POB 81745-163, Esfahan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2020年 / 16卷 / 02期

关键词：

Multiobjective fractional optimization problem; convexificator; necessary optimality conditions; nonsmooth analysis; DUALITY; OPTIMIZATION;

D O I：

10.3934/jimo.2018170

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the idea of convexificators is used to derive the Karush-Kuhn-Tucker necessary optimality conditions for local weak efficient solutions of multiobjective fractional problems involving inequality and equality constraints. In this regard, several well known constraint qualifications are generalized and relationships between them are investigated. Moreover, some examples are provided to clarify our results.

引用

页码：623 / 631

页数：9

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