Articoli correlati a Minimax and Monotonicity: 1693

Minimax and Monotonicity: 1693 - Brossura

Simons, Stephen

 
9783540647553: Minimax and Monotonicity: 1693
Brossura
ISBN 10: 3540647554 ISBN 13: 9783540647553
Casa editrice: Springer, 1998

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
1998
Lingua
Inglese
ISBN 10 
3540647554
ISBN 13 
9783540647553
Rilegatura
Copertina flessibile
Numero di pagine
188
Contatto del produttore
non disponibile
Persona responsabile
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