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

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  • Tadeusz Antczak
  • Kalpana Shukla

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.

Suggested Citation

  • Tadeusz Antczak & Kalpana Shukla, 2023. "Local cone approximations in non-smooth K -univex multi-objective programming problems," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 26(4), pages 425-448.
    • Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:425-448
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