Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 17 (2010), No. 3&4, 1057--1075
Copyright Heldermann Verlag 2010

A Formula for the Set of Optimal Solutions of a Relaxed Minimization Problem. Applications to Subdifferential Calculus

Marco A. López
Dept. of Statistics and Operations Research, University of Alicante, Apt. de Correos 99, 03080 Alicante, Spain

Michel Volle
Université d'Avignon et des Pays de Vaucluse, 74 Rue Louis Pasteur, 84029 Avignon, France

In the infinite dimensional setting, we provide a general formula for the optimal set of a relaxed minimization problem in terms of the approximate minima of the data function. Various applications to the ε-subdifferential calculus are also given.

Keywords: Relaxed minimization problem, approximate minima, epsilon-subdifferential calculus, Legendre-Fenchel conjugate.

MSC: 90C48, 90C46; 49N15, 90C25

[ Fulltext-pdf  (160  KB)] for subscribers only.