Minimax and Monotonicity (Lecture Notes in Mathematics, Band 1693) - Softcover

Simons, Stephen

Softcover

ISBN 10: 3540647554 ISBN 13: 9783540647553

Verlag: Springer, 1998

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1998
• Sprache: Englisch
• ISBN 10: 3540647554
• ISBN 13: 9783540647553
• Einband: Taschenbuch
• Anzahl der Seiten: 188
• Kontakt zum Hersteller: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Deutschland