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

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.