Properly efficiency for multiobjective mathematical programming problems with vanishing constraints with non-differentiable data

Hassani Bafrani, Atefeh

doi:10.22075/ijnaa.2025.37308.5434

Properly efficiency for multiobjective mathematical programming problems with vanishing constraints with non-differentiable data

Articles in Press

Document Type : Research Paper

Author

Atefeh Hassani Bafrani

Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-4697, Tehran, Iran,

10.22075/ijnaa.2025.37308.5434

Abstract

In this article, we investigate a class of nonsmooth multiobjective mathematical optimization problems with vanishing constraints (abbreviated as MMPVC) in the framework of Euclidean space. Corresponding to MMPVC, some generalized Abadie and Guignard constraint qualiﬁcations are introduced. Additionally, some Karush–Kuhn–Tucker type necessary conditions, known as stationarity conditions, are derived at the properly efficient solutions of MMPVC. The results of the paper are established by employing the tools of Clarke subdifferential.

Keywords

Qualification condition

Stationarity condition

Multiobjective optimization

Vanishing constraint

Properly efficient solution

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