Research Communication | Open Access
Volume 2019 | Communication ID 175
Volume 2019 | Communication ID 175
| Necessary optimality conditions for a bilevel multiobjective programming problem via a Ψ- reformulation |
Fatima Zahra Rahou, Nazih Abderrazzak Gadhi
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we are concerned with a bilevel multiobjective optimization problem (P). First, using Ψ, a function introduced by Gadhi and Dempe [16], we transform (P) into a one level optimization problem ( P^*). Second, on terms of convexificators, using a scalarization technique, we derive a Karash-Kuhn-Tucker (KKT)-type necessary optimality conditions to the initial problem (P) under ageneralized Abadie constraint qualification without the assumption that thelower-level problem satisfies the Mangasarian Fromovitz constraint qualification. Some examples have been introduced to ...