Minimax and Monotonicity
Author:   Stephen Simons
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1998 ed.
Volume:   1693
ISBN:  

9783540647553


Pages:   172
Publication Date:   20 August 1998
Format:   Paperback
Availability:   Out of stock   Availability explained
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Minimax and Monotonicity


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Overview

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.

Full Product Details

Author:   Stephen Simons
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1998 ed.
Volume:   1693
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.471kg
ISBN:  

9783540647553


ISBN 10:   3540647554
Pages:   172
Publication Date:   20 August 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Functional analytic preliminaries.- Multifunctions.- A digression into convex analysis.- General monotone multifunctions.- The sum problem for reflexive spaces.- Special maximal monotone multifunctions.- Subdifferentials.- Discontinuous positive linear operators.- The sum problem for general banach spaces.- Open problems.

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