Research Communication | Open Access
Volume 2020 | Communication ID 59 |

Sequential proper efficiency optimality conditions for multiobjective fractional programming problems

Mohamed Bilal Moustaid, Mohamed Laghdir, Issam Dali
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
02 January 2020
17 January 2020
10 March 2020

Abstract: A multiobjective fractional optimization problem, which consists of more than two fractional objective functions with convex numerator functions and concave denominator functions, subject to conic and geometric constraint set, is considered in this work.By using a parametric approach, we transform the problem as a non-fractional multiobjective convex optimization problem. By means of this equivalence, we establish in the absence of any constraints qualification, sequential necessary and sufficient optimality conditions for multiobjective fractional optimization problems characterizing completely a Henig proper efficient solution.