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Minimax and Monotonicity
Stephen Simons
出版Springer, 2006-11-14
主題Mathematics / Functional AnalysisScience / System TheoryMathematics / CalculusMathematics / Mathematical AnalysisLanguage Arts & Disciplines / Library & Information Science / General
ISBN35406893119783540689317
URLhttp://books.google.com.hk/books?id=juQyDQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.