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Minimax and Monotonicity
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Minimax and Monotonicity

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Focusing on the theory of monotone multifunctions on a Banach space, this work looks at the big convexification of a multi-function, convex functions associated with a multifunction, minimax theorems as a tool in functional analysis, and convex analysis. Topics include: results on the existence of continuous linear functionals; the conjugates, biconjugates and subdifferentials of convex lower semicontinuous functions; Fenchel duality; 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, and Ekeland’s variational principle.

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MORE INFO
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Date
20 August 1998
Pages
172
ISBN
9783540647553

Focusing on the theory of monotone multifunctions on a Banach space, this work looks at the big convexification of a multi-function, convex functions associated with a multifunction, minimax theorems as a tool in functional analysis, and convex analysis. Topics include: results on the existence of continuous linear functionals; the conjugates, biconjugates and subdifferentials of convex lower semicontinuous functions; Fenchel duality; 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, and Ekeland’s variational principle.

Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Date
20 August 1998
Pages
172
ISBN
9783540647553