Sequential optimality conditions of approximate proper efficiency for a multiobjective fractional programming problem

Mohamed Bilal Moustaid ^[1] ; Mohamed Laghdir ^[1] ; Issam Dali ^[1]
1. [1] Department of Mathematics, Chouaib Doukkali University, El Jadida
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 4, 2023, págs. 611-627
Idioma: inglés
DOI: 10.1007/s40324-022-00308-y
Enlaces
- Texto Completo Ejemplar
Resumen
- In this paper, in the absence of any constraint qualifications, we develop sequential optimality conditions for a constrained multiobjective fractional programming problem characterizing an approximate properly efficient solution. This is achieved by employing a powerful combination of conjugate analysis and the concept of approximate subdifferential. We give an example to present significance of sequential optimality conditions.