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 159
Sequential optimality condition of approximate proper efficiency for a multiobjective fractional programming problem
Mohamed Bilal Moustaid, Mohamed Laghdir, Issam Dali
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 22, 2022
March 03, 2146
April 15, 2146

Abstract: 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. In order to present an example illustrating the significance of the sequential conditions, we establish the exact optimality conditions under a qualification condition.