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Sufficient Optimality Conditions for a Bilevel Semivectorial D.C. Problem
Authors:Nazih Abderrazzak Gadhi  Stephan Dempe
Affiliation:1. Department of Mathematics, Dhar El Mehrez Sidi Mohamed Ben Abdellah University, Fes, Morocco;2. ngadhi@hotmail.com;4. Department of Mathematics and Computer Science, Technical University Bergakademie Freiberg, Freiberg, Germany
Abstract:Abstract

The paper is devoted to the study of a bilevel multiobjective optimization problems with objectives and constraints given as differences of convex functions. The main attention is paid to deriving sufficient optimality conditions. Several intermediate optimization problems are introduced to help us in our investigation.
Keywords:Bilevel optimization  convex functions  D. C. functions  multiobjective optimization  optimal value function  sufficient optimality conditions
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