Local cone approximations in non-smooth K -univex multi-objective programming problems

Tadeusz Antczak and Kalpana Shukla

International Journal of Mathematics in Operational Research, 2023, vol. 26, issue 4, 425-448

Abstract: In this paper, we have established some results for a new class of non-smooth multi-objective problems with both inequality and equality constraints are considered. Several definitions of non-smooth (generalised) K-univex functions are gathered in a general scheme by means of the concepts of K-directional derivative and the K-subdifferential. Then, local cone approximations are used to obtain optimality and Mond-Weir duality results for aforesaid non-smooth multi-objective problems with (generalised) K-univex functions. The results established in this paper extend similar results existing in the literature to new classes of non-convex non-differentiable multi-objective programming problems. Some examples are also given for our findings.

Keywords: non-smooth multi-objective programming; K -subdifferential; local cone approximations; K -directional derivative; K -univex function. (search for similar items in EconPapers)
Date: 2023
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