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

• Autorzy: Das Koushik

Identyfikatory

DOI

10.2478/candc-2024-0021

• Języki publikacji: EN

Abstrakty

EN

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 higherorder duality of Mond-Weir (MWD), Wolfe (WD), and mixed (MD) kinds.

Słowa kluczowe

EN

convex cone; set-valued map; contingent epiderivative; arcwise connectedness; duality

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2024
• Tom: Vol. 53, No. 4
• Strony: 503--532
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Das Koushik

• Department of Mathematics, Government General Degree College Singur, Hooghly - 712409, West Bengal, India (current)
• Department of Mathematics, Taki Governmental College, North 24 Parganas – 743429 West Bengal, India (former)

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