Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 247
Duality for multiobjective fractional bilevel programming problems with extremal-value function
Ahmed Rikouane, Mohamed Laghdir
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 28, 2022
March 03, 2218
April 15, 2218

Abstract: Given a multiobjective fractional bilevel programming problem (P) with an extremal- value function, we introduce, by using the Fencllel-Moreau conjugate of the functions involved, a suitable dual problem. Under a standard constraint qualication and some convexity as well as monotonicity conditions we prove the existence of strong duality. Finally, we present an example illustrating the main result of this paper.