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Minimax and Monotonicity

Minimax and Monotonicity

Paperback

Series: Lecture Notes in Mathematics, Book 1693

CalculusGeneral MathematicsGeneral Science

Currently unavailable to order

ISBN10: 3540647554
ISBN13: 9783540647553
Publisher: Springer Nature
Published: Aug 20 1998
Pages: 172
Weight: 0.60
Height: 0.40 Width: 6.14 Depth: 9.21
Language: English
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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Calculus