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1、遼寧師范大學(xué)碩士研究生學(xué)位論文Y931191論文題目:ApplicationsofmeauxiliaryprincipleteclllliqueforstronglymixedV撕ational—likeinequalitiesaIldnonlineargeneralizedpar鋤etricquasiVariationalinequalities研究生:孫菊賀指導(dǎo)教師:劉澤慶學(xué)科專業(yè):應(yīng)用數(shù)學(xué)年級:2003級遼寧師范大學(xué)研究生部200
2、5年12月2JUHESUNInHilbertspaces,byusingtheprojectiontecllnique,Do“g,LeeaⅡdHu舭l(fā)g【8】iSalahuddin『351andLiu『15,271obtaiDedthebehaviorandsensitivityanalysisofsolu七ionsforaclassofp8rametricgeneralizedqua8iⅥ扛iatioⅡallnequalitiesBy
3、makinguseoftheimpl沁itresolventoperatortechnique,A昏arw甜,ChoandHu甜19f1]醇、畸thesensⅢ“typ。叩ertyof80lutionsofaparametricgenera】izedstron酣ynonlinearmixedquasivariatbnalinclu8ionInthispaper,weintroduce姐dstudyanewclassofstronglym
4、kedⅥlriatioⅡ“l(fā)ikeinequalhiesandanewclas8ofnonlineargeneralizedparaⅡletricquasi咖ia_tbn甜inequalitie呂Byapplyingare8ultduetoChang【2],Weprovethe。(istenceofsolutionsforthec18ssofstron甜ymixedvariatbnaLlikeiIlequa上itiesUsir蜒thea
5、uxma。ypriⅡcipletech工lique,wesugge8taIlda眥lyzeanewthree_8tepiterativeakori也mforsolvingthedassofstronglymixedv缸iationaLlikeinequalitiesTheconvergencecriterha11dthestabilityresultsofthesequencegeneratedbythemer砒ivealgorithm
6、are只ivenWealsostudythebeh8vioraJldse璐itivity踟1alysisofthesolutioⅡsofther10nhIlearPcenerahzedpar帥etricquasiv8TiationalinequalityinHilbert8pacesby印pMngthea11)ciliaryprincipletechnique2PreliminariesLet日bearealHilbert8p8ceen
7、dawedwithaninnerproduct(,)andnorm”l,respectivdLetⅣbeanonemptyclosedcorlve)[subBetof日,A,日G只9:Ⅳ_日,Ⅳ:日日日一日and叼:Ⅳ耳一日bemappi“gsAssumethatPisanonemptyopensubsetof日inwhichtheparaIⅡeter^takesvaluesSupp08ethato:日x日_(一oo,o。)isacoe
8、rcivecominuousbiline8rform,thati8,thereexistpositivecoⅡstaⅡtscanddsuchthat(i)o(”,“)≥c№釅,V“∈日;(蠢)Ⅱ(u,u)≤刮u川口隊(duì)Vu,“∈日Cledvc08砒isfying16(u,t川≤圳u洲1,,Vu,“∈日(d)6扣,“)一6(u,叫)≤6(“,“一1正),V“,“,叫∈日LetusrecaⅡ七h(yuǎn)efoUowingu8efuldeBn“ions
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