Duality results in terms of convexifactors for a bilevel multiobjective optimization problem

被引：0

作者：

Saini, Shivani ^{[1
]}

Kailey, Navdeep ^{[1
]}

机构：

[1] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, India

来源：

FILOMAT | 2024年 / 38卷 / 06期

关键词：

Bilevel programming; Multiobjective programming; psi-function; Convexifactor; Duality; OPTIMALITY CONDITIONS; GENERALIZED CONVEXITY;

D O I：

10.2298/FIL2406015S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we have formulated a Wolfe type dual for a multiobjective bilevel programming problem, which involves vector-valued objective function in the upper level and single objective function in the lower level. Under generalized convexity assumptions, on the functions involved weak and strong duality theorems are derived. Some examples are given to illustrate the applicability of the obtained results.

引用

页码：2015 / 2022

页数：8

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