Minimax and Monotonicity / / by Stephen Simons
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| Autore: |
Simons Stephen <1938->
|
| Titolo: |
Minimax and Monotonicity / / by Stephen Simons
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Edizione: | 1st ed. 1998. |
| Descrizione fisica: | 1 online resource (XI, 172 p.) |
| Disciplina: | 515.7248 |
| Soggetto topico: | Functional analysis |
| Operator theory | |
| System theory | |
| Control theory | |
| Mathematical optimization | |
| Calculus of variations | |
| Functional Analysis | |
| Operator Theory | |
| Systems Theory, Control | |
| Calculus of Variations and Optimization | |
| Classificazione: | 49J35 |
| 47H05 | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | Functional analytic preliminaries -- Multifunctions -- A digression into convex analysis -- General monotone multifunctions -- The sum problem for reflexive spaces -- Special maximal monotone multifunctions -- Subdifferentials -- Discontinuous positive linear operators -- The sum problem for general banach spaces -- Open problems. |
| Sommario/riassunto: | Focussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonreflexive) Banach space, this book looks at the big convexification of a multifunction; convex functions associated with a multifunction; minimax theorems as a tool in functional analysis and convex analysis. It includes new results on the existence of continuous linear functionals; the conjugates, biconjugates and subdifferentials of convex lower semicontinuous functions, Fenchel duality; (possibly unbounded) positive linear operators from a Banach space into its dual; the sum of maximal monotone operators, and a list of open problems. The reader is expected to know basic functional analysis and calculus of variations, including the Bahn-Banach theorem, Banach-Alaoglu theorem, Ekeland's variational principle. |
| Titolo autorizzato: | Minimax and monotonicity |
| ISBN: | 3-540-68931-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910146304803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 1617-9692 ; ; 1693