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- catalog abstract "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.".
- catalog contributor b10946238.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog 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.".
- catalog description "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.".
- catalog description "Includes bibliographical references and indexes.".
- catalog extent "xi, 172 p. :".
- catalog hasFormat "Minimax and monotonicity.".
- catalog identifier "3540647554 (alk. paper)".
- catalog isFormatOf "Minimax and monotonicity.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1693.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1693".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Minimax and monotonicity.".
- catalog subject "510 s 515/.7248 21".
- catalog subject "Duality theory (Mathematics)".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "Maxima and minima.".
- catalog subject "Monotone operators.".
- catalog subject "Monotonic functions.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no. 1693 QA329.8".
- catalog subject "Systems theory.".
- catalog tableOfContents "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.".
- catalog title "Minimax and monotonicity / Stephen Simons.".
- catalog type "text".