On nonsmooth mathematical programs with equilibrium constraints using generalized convexity

Authors

  • Bhuwan Chandra Joshi DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi, India
  • Shashi Kant Mishra Banaras Hindu University, Institute of Science, Department of Mathematics, Varanasi, India
  • Pankaj Banaras Hindu University, Mahila Maha Vidhyalaya, Varanasi, India

DOI:

https://doi.org/10.2298/YJOR180915008J

Keywords:

duality, stationary point, generalized invexity, convexificators

Abstract

In this paper, we derive the sufficient condition for global optimality for a 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.

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Published

2019-11-01

Issue

Vol. 29 No. 4 (2019)

Section

Research Articles

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Copyright (c) 2019 YUJOR

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