Optimality and duality for nonsmooth semi-infinite multiobjective programming with support functions

Authors

  • Yadvendra Singh Banaras Hindu University, Department of Mathematics, Varanasi, India
  • S.K. Mishra Banaras Hindu University, Department of Mathematics, Varanasi, India
  • K.K. Lai City University of Hong Kong, Department of Management Sciences, Kowloon, Hong Kong, China + Jockey Club School of Public Health and Primary Care + The Chinese University of Hong Kong, Faculty of Medicine, Shatin, Hong Kong, China

DOI:

https://doi.org/10.2298/YJOR170121010S

Keywords:

nonsmooth semi-infinite multiobjective optimization, generalized convexity, duality

Abstract

In this paper, we consider a nonsmooth semi-infinite multiobjective programming problem involving support functions. We establish sufficient optimality conditions for the primal problem. We formulate Mond-Weir type dual for the primal problem and establish weak, strong and strict converse duality theorems under various generalized convexity assumptions. Moreover, some special cases of our problem and results are presented.

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Published

2017-05-01

Issue

Vol. 27 No. 2 (2017)

Section

Research Articles

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