Necessary and sufficient optimality conditions for fractional multi-objective problems

Abstract

Abstract Using a special scalarization, we give necessary optimality conditions for fractional multiobjective optimization problems. Under a generalized invexity, sufficient optimality conditions are also given. All over the article, the data are assumed to be continuous but not necessarily Lipschitz. Keywords: convexificatormulti-objective optimizationpseudoinvexitypareto minimumoptimality conditionsscalarization2000 Mathematics Subject Classifications:: primary 90c29secondary 49k99 Acknowledgements My sincere acknowledgements to the anonymous referees for their insightful remarks and suggestions. This work has been supported by the Alexander-von Humboldt foundation.