關(guān)于變分不等式問(wèn)題的強(qiáng)收斂定理及其相關(guān)研究.pdf

1、南京財(cái)經(jīng)大學(xué)碩士學(xué)位論文關(guān)于變分不等式問(wèn)題的強(qiáng)收斂定理及其相關(guān)研究姓名：黃宜朵申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：張從軍20110106南京財(cái)經(jīng)大學(xué)碩士學(xué)位論文IIABSTRACTBecausevariationalinequalitiesproblemiscloselyrelatedtothefixedpointproblemoptimizationproblemequilibriumproblemcomplementarity

2、problemiswidelyusedintheeconomicsfinancemanyotherfieldsitisincreasinglyattractingscholars’attention.Inrecentyearsthemethodthatwefindtheapproximationsolutionofvariationalinequalitiesproblembyiterativealgithmsbecomesanimpt

3、anttooltoresearchapplyvariationalinequalitiestheies.Inthispaperinspiredmotivatedbythepreviousscholars’wkweintroduceseveraliterativealgithmsfvariationalinequalitiesproblemequilibriumproblemprovetheircrespondingconvergence

4、theems.Ourpaperisdividedintotwochapters.Thefirstchapter，wegivethreestepiterationsfvariationalinequalitiesnonexpansivemappingsinaHilbertspaceobtainstrongconvergencetheemsundertheconditionthattheintersectionbetweenthesetof

5、solutionsofthevariationalinequalitythesetoffixedpointsofanonexpansivemappingisnonemptywhichisdiscussedatthemappingsofα?inversestronglymonotonemappingrelaxed()rγ??cocoercivemappingsoon.InchaptertwowegivesomenewunifiedHalp

6、erniterationsfequilibriumprobleminaBanachspaceobtainstrongconvergencetheemsfequilibriumproblemquasiφnonexpansivemapping.Ourresultsarethegeneralizationsextensionsofthecrespondingresultsobtainedin[710，1922]soon.KEYWDS:Vari