On Nonsmooth Mathematical Programs with Equilibrium Consraints Using Generalized Convexity

  • Bhuwan Chandra Joshi Banaras Hindu University Varanasi
  • Shashi Kant Mishra Banaras Hindu University Varanasi
  • Pankaj Kumar Banaras Hindu University Varanasi

Abstract

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

Published
2019-04-10
How to Cite
JOSHI, Bhuwan Chandra; MISHRA, Shashi Kant; KUMAR, Pankaj. On Nonsmooth Mathematical Programs with Equilibrium Consraints Using Generalized Convexity. Yugoslav Journal of Operations Research, [S.l.], v. 29, n. 4, p. 449-463, apr. 2019. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/674>. Date accessed: 24 nov. 2024.
Citation Formats
Issue
Vol 29 No 4 (2019)
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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