Minimax and monotonicity
Author(s)
Bibliographic Information
Minimax and monotonicity
（Lecture notes in mathematics, 1693）
Springer, c1998
Available at / 89 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1693RM980911
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:515.6/Si562070446090
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Note
References: p. [165]-167
Includes indexes
Description and Table of Contents
Description
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.
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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