Local cone approximations in non-smooth K-univex multi-objective programming problems
by Tadeusz Antczak; Kalpana Shukla
International Journal of Mathematics in Operational Research (IJMOR), Vol. 26, No. 4, 2023

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.

Online publication date: Mon, 18-Dec-2023

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