[en] In the context of vector-valued extensions of variational principles we are dealing with functions taking values in a Banach space partially ordered by a closed convex pointed cone. We introduce and study a new notion of semi-continuity connected with the order and we improve the vector-valued extensions of Deville-Godefroy-Zizler perturbed minimization principle.
Research center :
CREMMI - Modélisation mathématique et informatique
Disciplines :
Mathematics
Author, co-author :
Troestler, Christophe ; Université de Mons > Faculté des Sciences > Service d'Analyse numérique
Finet, Catherine ; Université de Mons > Faculté des Sciences > Service d'Analyse mathématique
Quarta, Lucas
Language :
English
Title :
Vector-Valued Variational Principles
Publication date :
30 October 2001
Journal title :
Nonlinear Analysis: Theory, Methods and Applications