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

  • S. K. MISHRA Department of Mathematics, Institute of science, Banaras Hindu University, Varanasi-221005, India.

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. We also discuss some special cases from these results.
Keywords: Nonsmooth semi-infinite multiobjective optimization; Generalized convexity, Duality.

Published
Jun 6, 2017
How to Cite
MISHRA, S. K.. Optimality and duality for nonsmooth semi-infinite multiobjective programming with support functions. Yugoslav Journal of Operations Research, [S.l.], v. 27, n. 2, p. 205–218, june 2017. ISSN 2334-6043. Available at: <http://yujor.fon.bg.ac.rs/index.php/yujor/article/view/146>. Date accessed: 29 mar. 2024.
Section
Articles