In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vect
β¦ LIBER β¦
Vector-valued variational principles
β Scribed by Catherine Finet; Lucas Quarta; Christophe Troestler
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 216 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
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.
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