自反Banach空間中廣義非線性似變分不等式和Minimax型極值問題的優(yōu)動分析.pdf

1、南京航空航天大學(xué)碩士學(xué)位論文自反Banach空間中廣義非線性似變分不等式和Minimax型極值問題的優(yōu)動分析姓名：陳曉紅申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：劉穎范2001.3.1皂墾里!!竺!室囹主￡墨j!垡絲型鑾坌至蔓莖塑堅!!!墨竺型堡篁囹壑塑墊墊坌塹AbstractWeconcentrateourresearchontheexistenceofgeneralizednonlinearvariationallikeinequa

2、lityandthefeasiblesolutionproblemofMinimaxextremevalueproblemandtheperturbedpropertyofitssolutionsetunderthesettingsofreflexiveBanachspaceInt11efirstpartwediscussgeneralizednonlinearvariationallikeinequalityproblemaboutt

3、hesolution’SexistenceanduniquenessFirstlyweproposeanewkindofgeneralizednonlinearvarimionallikeinequalityandthenweobtainthatitssolutionisexistentanduniquebymeansofFKKMunderthesettingsofreflexiveBanachspaceThesecondpartist

4、heperturbedanalysisforMinimaxextremevalueproblemwhichtaketheexistenceforspecialexampleWediscussextremevalueproblemoffunctionf(x圳definedonproduetBanachspaceUVSomeexistencetheoremsandexpressionsoftheMaxinfsolutionandMinsup

5、solutionunder1inearperturbationareobtainedAsacorollarywehavealsogetsomerelatedresultswithrespecttoconservativesolutionandsaddlepointKeywords：reflexiveBanachspace，generalizednonlinearvariational—likeinequalityMinisupsolut