Optimality and duality results for non-smooth vector optimisation problems with K - V -type I functions via local cone approximations

Tadeusz Antczak and Kalpana Shukla

International Journal of Mathematics in Operational Research, 2024, vol. 28, issue 3, 374-395

Abstract: In the paper, local cone approximations are used to introduce new notions of generalised convexity and to prove optimality conditions and duality results for a new class of non-smooth vector optimisation problems with inequality constraints. Namely, several concepts of (generalised) K-V-type I are gathered in a general scheme by means of the concepts of K-directional derivative and the K-subdifferential. Then, optimality conditions and several Mond-Weir duality theorems are established for the considered non-smooth vector optimisation problem. The results established in the paper for aforesaid non-convex non-differentiable vector optimisation problems generalise similar results existing in the literature.

Keywords: non-smooth multi-objective programming; local cone approximations; K -directional derivative; K -subdifferential; K - V -type I function. (search for similar items in EconPapers)
Date: 2024
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