Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order

Das, Koushik

doi:10.2478/candc-2024-0021

Abstract

The aim of this study is to establish the sufficient higher-order KKT (Karush Kuhn Tucker) criteria of optimality for a set-valued fractional-type optimization problem (SFP) (FP). Under the presumptions of higher-order contingent epi-derivative and higher-order κ-arcwisely connectedness, these requirements are derived. We also look into the effects of these constraints on the higher-order duality of Mond-Weir (MWD), Wolfe (WD), and mixed (MD) kinds.

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Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order

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