From Hahn-Banach to Monotonicity
In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a big convexification of the graph of the multifunction and the minimax technique for proving the existence of linear functionals satisfyi...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Έκδοση: | Version électronique de la seconde édition augmentée. |
| Σειρά: | Lecture Notes in Mathematics
1693 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 263 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • From Hahn-Banach to monotonicity, Stephen Simons, 2nd, expanded edition, 2008, Berlin, Springer, 1 vol. (XIV-244 p.), Lecture notes in mathematics, 978-1-402-06918-5 • From Hahn-Banach to Monotonicity, Texte imprimé, 9789048116454 • From Hahn-Banach to monotonicity, Stephen Simons, 2nd, expanded edition, 2008, Berlin, Springer, 1 vol. (XIV-244 p.), Lecture notes in mathematics, 978-1-402-06918-5 |
| Περίληψη: | In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a big convexification of the graph of the multifunction and the minimax technique for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space. The first two chapters are aimed at students interested in the development of the basic theorems of functional analysis, which leads painlessly to the theory of minimax theorems, convex Lagrange multiplier theory and convex analysis. The remaining five chapters are useful for those who wish to learn about the current research on monotone multifunctions on (possibly non reflexive) Banach space |
|---|---|
| Περιγραφή τεκμηρίου: | L'impression du document génère 263 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Βιβλιογραφία: | Bibliogr. Index |
| ISBN: | 9781402069192 |
| ISSN: | 1617-9692 |
| Πρόσβαση: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |