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010   $a3-540-68931-1
024 7 $a10.1007/BFb0093633
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035   $a(DE-He213)978-3-540-68931-7
035   $a(MiAaPQ)EBC5592465
035   $a(Au-PeEL)EBL5592465
035   $a(OCoLC)1066198673
035   $a(MiAaPQ)EBC6842663
035   $a(Au-PeEL)EBL6842663
035   $a(OCoLC)159957204
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035   $a(BIP)47743207
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100   $a20121227d1998      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMinimax and Monotonicity /$fby Stephen Simons
205   $a1st ed. 1998.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998.
215   $a1 online resource (XI, 172 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1693
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-64755-4 
327   $aFunctional 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.
330   $aFocussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonreflexive) Banach space, this book looks at the big convexification of a multifunction; convex functions associated with a multifunction; minimax theorems as a tool in functional analysis and convex analysis. It includes new results on the existence of continuous linear functionals; the conjugates, biconjugates and subdifferentials of convex lower semicontinuous functions, Fenchel duality; (possibly unbounded) positive linear operators from a Banach space into its dual; the sum of maximal monotone operators, and a list of open problems. The reader is expected to know basic functional analysis and calculus of variations, including the Bahn-Banach theorem, Banach-Alaoglu theorem, Ekeland's variational principle.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1693
606   $aFunctional analysis
606   $aOperator theory
606   $aSystem theory
606   $aControl theory
606   $aMathematical optimization
606   $aCalculus of variations
606   $aFunctional Analysis
606   $aOperator Theory
606   $aSystems Theory, Control
606   $aCalculus of Variations and Optimization
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aSystem theory.
615  0$aControl theory.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615 14$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aSystems Theory, Control.
615 24$aCalculus of Variations and Optimization.
676   $a515.7248
686   $a49J35$2msc
686   $a47H05$2msc
700   $aSimons$b Stephen$f1938-$057289
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146304803321
996   $aMinimax and monotonicity$978168
997   $aUNINA