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Minimax and Monotonicity
Description
Focussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonreflexive) Banach space, this book looks at the big convexifica...tion 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.Detailed info »« Brief info
Additional Information
| Publisher: | Springer |
| Publication Date: | 1/31/2008 |
| ISBN: | 9783540647553 |
| EAN: | 3540647554 |
| Paperback: | 188 pages |
| Language: | English |
| Physical Info: | 6.14 x 0.40 x 9.21 inches, (0.60 lbs) |
| Categories: | Calculus | Mathematical Analysis | Applied |
| Dewey: | 515.724 |
| LCCN: | 98037797 |
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