On constrained set-valued optimization problems with p-cone arcwise connectedness

Koushik Das ^[1]
1. [1] Department of Mathematics, Taki Government College
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 3, 2023, págs. 463-478
Idioma: inglés
DOI: 10.1007/s40324-022-00295-0
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Resumen
- In this paper, we establish the sufficient Karush–Kuhn–Tucker (for short, KKT) conditions of a set-valued optimization problem (P) via contingent epiderivative and ρ-cone arcwise connectedness assumptions. We also formulate the Mond–Weir type (MWD), Wolfe type (W D), and mixed type (MD) duals of (P) and prove the corresponding weak, strong, and converse duality theorems.