1、Y93118遼寧師范大學(xué)一一碩士研究生學(xué)位論文論文題目：ConvergenceOfherativeAlgOrithmsForQuasivariation宙andVariationalLikeInequalities研究生：高海燕指導(dǎo)教師：一劉澤慶學(xué)科專業(yè)：應(yīng)用數(shù)學(xué)年級(jí)：2003級(jí)遼寧師范大學(xué)研究生部2006年5月ABSTRACTInthispaper，anewclassofgeneralizednonlinearquasivariati

2、onalinequalitiesinHilbeftspacesareintroducedandstudiedByusingtheprojectionmethod，aperturbedthreestepiterative8lgor讓hmisconstructedTheexistenceofsolutionforthegeneralizednonlinearquasivariationalinequalityinvolvingrelaxed

3、nloilotone，relaxedLipschitzandstronglymonotonemappingsisestablished，andsomeconvergenceandstabilityresultsoftheiterativesequencasgeneratedbvthealgorithmaFeprovedOntheotherhand，anewdassofcompletelygeneralizedstronglyno工1li

4、nearvariationalhkeinequalitiesinrefiekiveBanachspacesareconsideredandinvestigatedByutilizingaminimaxinequalityduetoDingandTan，Banachfixedpointtheoremalldtheauxiliaryvariational—likeinequalltytechniquetheexistenceanduniqu

5、enessresultofsolu—tionforthecompletelygeneralizedstronglynonlinearvariationallikeinequalityisestablishedandtwokindsofnewherativealgorithmsforfindingtheapproximatesolutionsofthecompletelygeneralizedstronglynonlinearvariat

6、ional—likeinequalityareconstructed，∞veralconvergenceresultsoftheiterativesequencesgeneratedbythealgorithmsarealsodiscussedTheseresultspresentedinthispaperextend，improveanduni母thecorrespondingresultsinrecentliteratureKeyw