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A Duality Framework for Mathematical Programs with Tangential Subdifferentials

delete2026-01-05
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PRE
AI
V
Vandana Singh
S
Shashi Kant Mishra
A
Abdelouahed Hamdi *
DOI:10.3390/a19010045delete
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Abstract

Abstract

En 中文
The aim of this article is to study duality results for nonsmooth mathematical programs with equilibrium constraints in terms of tangential subdifferentials. We study the Wolfe-type dual problem under the convexity assumptions and a Mond-Weir-type dual problem is also formulated under convexity and generalized convexity assumptions for MPEC by using tangential subdifferentials. We establish weak duality and the two dual programs by assuming tangentially convex functions and also obtain strong duality theorems by assuming generalized standard Abadie constraint qualification.
Keywords:
mathematical programs with equilibrium constraints
wolfe type dual
mond-weir dual
tangential subdifferentials

Journal

Algorithms cover
Algorithms
IF:
2.1
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631
Citations:
5.4K

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I
indian institute of technology system (iit system)
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9.5W
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banaras hindu university (bhu)
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