Duality Between Differentiability and Minimization in Banach Spaces

Nourddin Saidou

In this paper we will establish a new relationship between differentiability and optimization of convex functions. We consider convex lower semi continuous functions in Banach spaces and we characterize respectively the relation between Fr´echet (Gaˆteaux) differentiability and *strong minimum ...

Regularized Minimization of Convex Functions in Radon Nikodym Space

Nourddin SAIDOU , Mhamed ZINEDDINE , Bouchaib Ferrahi

Convex non linear optimization problems may not have a solution in innite dimension spaces. The aim of this paper is to formulate some new results in this topic by using "technical regularization" of the objective function. The rst result shows that a non linear convex proper lower semi-continuous ...