Optimality conditions for set-valued minimax fractional programming problems

K. Das ^[2] ; C. Nahak ^[1]
1. [1] Indian Institute of Technology Kharagpur
  
  Indian Institute of Technology Kharagpur
  
  India
2. [2] Taki Government College
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 77, Nº. 2, 2020, págs. 161-179
Idioma: inglés
DOI: 10.1007/s40324-019-00209-7
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Resumen
- In this paper, we establish the sufficient Karush–Kuhn–Tucker (KKT) conditions for the existence of minimizers of a set-valued minimax fractional programming problem. The duals of Mond–Weir, Wolfe, and mixed types of the said problem are also formulated and the duality results are proved.