Minimax and Monotonicity

Minimax and Monotonicity
Author :
Publisher : Springer
Total Pages : 173
Release :
ISBN-10 : 9783540689317
ISBN-13 : 3540689311
Rating : 4/5 (311 Downloads)

Book Synopsis Minimax and Monotonicity by : Stephen Simons

Download or read book Minimax and Monotonicity written by Stephen Simons and published by Springer. This book was released on 2006-11-14 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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