ENGLISH

Minimax and Monotonicity

By Stephen Simons (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
978-3-540-64755-3, 978-3-540-68931-7
DOI
10.1007/BFb0093633
Language
english
Format
PDF
Filesize
2 MB (2122778 bytes)
Series
Lecture Notes in Mathematics 1693
Edition
1
Pages
172\172
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Control; Calculus of Variations and Optimal ControOperator Theory; Systems Theory

Description

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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