nonlinear ill posed problems of monotone type

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1、NONLINEARILL-POSEDPROBLEMSOFMONOTONETYPENonlinearIll-posedProblemsofMonotoneTypebyYAKOVALBERandIRINARYAZANTSEVAAC.I.P.CataloguerecordforthisbookisavailablefromtheLibraryofCongress.ISBN-101-4020-4395-3(HB)ISBN-13978-1-4020-4395-6(HB)ISBN-101-4020-4396

2、-1(e-book)ISBN-13978-1-4020-4396-3(e-book)PublishedbySpringer,P.O.Box17,3300AADordrecht,TheNetherlands.www.springer.comPrintedonacid-freepaperAllRightsReserved©2006SpringerNopartofthisworkmaybereproduced,storedinaretrievalsystem,ortransmittedinanyfor

3、morbyanymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwrittenpermissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyforthepurposeofbeingenteredandexecutedonacomputersystem,forexclusiveusebythep

4、urchaserofthework.PrintedintheNetherlands.ContentsPREFACEviiACKNOWLEDGMENTSxiii1INTRODUCTIONINTOTHETHEORYOFMONOTONEANDACCRETIVEOPERATORS11.1ElementsofNonlinearFunctionalAnalysis...................11.2Subdifferentials..................................1

5、61.3MonotoneOperators...............................191.4MaximalMonotoneOperators..........................291.5DualityMappings.................................331.6BanachSpacesGeometryandRelatedDualityEstimates...........401.7EquationswithMaximalMon

6、otoneOperators.................521.8SummationofMaximalMonotoneOperators.................591.9EquationswithGeneralMonotoneOperators.................661.10EquationswithSemimonotoneOperators...................701.11VariationalInequalitieswithMonotoneOpe

7、rators...............721.12VariationalInequalitieswithSemimonotoneOperators............791.13VariationalInequalitieswithPseudomonotoneOperators...........841.14VariationalInequalitieswithQuasipotentialOperators............901.15EquationswithAccretive

8、Operators......................951.16Equationswithd-AccretiveOperators.....................1082REGULARIZATIONOFOPERATOREQUATIONS1172.1EquationswithMonotoneOperatorsinHilbertSpaces............1172.2EquationswithMonotoneOperatorsinBanachSpaces.........