Synopsis
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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Minimax and Monotonicity (Lecture Notes in Mathematics)
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Minimax and monotonicity. Lecture Notes in Mathematics; 1693.
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Minimax and Monotonicity
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Minimax and Monotonicity
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Springer Berlin Heidelberg, 1998
ISBN 10: 3540647554
ISBN 13: 9783540647553
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 oper. Seller Inventory # 116457186
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Minimax and Monotonicity (Lecture Notes in Mathematics, 1693)
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Minimax and Monotonicity Stephen Simons
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Softcover. Condition: gut. 1998. Minimax and Monotonicity In deutscher Sprache. pages. Seller Inventory # BN227635
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