Mond-Weir Duality Results for Nondifferentiable Mathematical Programming with Vanishing Constraints

Authors

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

DOI:

https://doi.org/10.30495/jme.v18i0.2950

Keywords:

Dual problem, Vanishing constraints, Clarke subdifferential, Duality results.

Abstract

In this paper, we introduce a Mond-Weir dual problem for opti-
mization problems with vanishing constraints (MPVC) dened by nondier-
entiable locally Lipschitz functions. Then, we present the weak, the strong,
the converse, the restricted converse, and the strict converse duality results
for this new dual problem. This article can be considered as an extension of
Mishra et al. (Ann. Oper. Res. 243(1):249{272, 2016), and a supplement of
Gobadzadeh et al. (J. Math. Ext 9(7):1{17, 2022).

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Published

2024-06-02

Issue

Vol. 18

Section

Vol. 18, No. 1, (2024)

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