Contribution à l’étude de la dualité quasi-convexe en optimisation. Magister thesis (2007) , Université de Batna 2

Abstract

The objective of this work is to study the quasi-convex duality for three types of optimization problems. We use the concepts and the properties of quasi-convexity, quasi-conjugate and quasi- subdifferentials of a function defined on Rn whose values are in R, to study the optimality conditions and stability of Fenchel duality type. We present some illustrative examples and an application problem in economy.