SUFFICIENT OPTIMALITY CONDITIONS AND MOND-WEIR DUALITY RESULTS FOR A FRACTIONAL MULTIOBJECTIVE OPTIMIZATION PROBLEM

被引：1

作者：

Gadhi, Nazih Abderrazzak ^{[1
]}

Rahou, Fatima Zahra ^{[2
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, LAMA, FSDM, Fes, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, FSDM, Fes, Morocco

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2023年 / 19卷 / 02期

关键词：

Convexificator; multiobjective optimization; sufficient optimality conditions; Mond-Weir duality; weak Pareto minimal point; GENERALIZED CONVEXITY; CONVEXIFACTORS;

D O I：

10.3934/jimo.2021216

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, we are concerned with a fractional multiobjective optimization problem (P) involving set-valued maps. Based on necessary optimality conditions given by Gadhi et al. [14], using support functions, we derive sufficient optimality conditions for (P), and we establish various duality results by associating the given problem with its Mond-Weir dual problem (D). The main tools we exploit are convexificators and generalized convexities. Examples that illustrates our findings are also given.

引用

页码：1001 / 1014

页数：14

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