E-convex functions and nonsmooth mathematical programs

Joshi B.C., Mohan R., Pankaj

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Published: Oct 17, 2023

Keywords:

And Phrases: Generalized invexity; Mathematical program with equilibrium constraints; Mond-Weir type dual; Wolfe type dual

Joshi B.C., Mohan R., Pankaj

Abstract

In this paper, we derive sufficient optimality condition for a nonsmooth mathematical program with equilibrium constraints using E-convex functions. We formulate the Wolfe and Mond-Weir type duality models and establish weak and strong duality theorems to relate the mathematical program with equilibrium constraints and the dual models in the framework of convexificators.

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Vol. 24 No. 1 (2021)

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Articles

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