迭代逼近Banach空間中強(qiáng)偽壓縮映象的不動(dòng)點(diǎn)和強(qiáng)增生算子方程的解.pdf

1、浙江師范大學(xué)碩士學(xué)位論文迭代逼近Banach空間中強(qiáng)偽壓縮映象的不動(dòng)點(diǎn)和強(qiáng)增生算子方程的解姓名：李保榮申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：王元恒20050501ABSTRACTThepurposeofthispaperistoapproximatetothefixedpointsofsinglevaluedandmulti—valuedstronglypseudocontractivemappingsandthesolutions

2、ofsinglevaluedandmukivaluedstronglyaccretiveoperatorequationsbyIshikawaandManniterativeprocesseswithrandomerrorsAllresultsobtmnedinthispaperimproveandextendthoseappearedresentlyinboth[46】and[311，andsomenewmethodsusedinth

3、ispaperarenotsimilartothoseinboth【46】and【31】ThispaperincludesfourpartsInthefirstpart，twoquestionsaregivenandwillbesolvedinthispaperwhicharecloselyrelatedto[46】and[31】，respectivelySomeconceptsandlemmasareintroducedinthese

4、condpartandsomeusefulinequalitiesareprovedhereInthethirdpart，somesufficientandnecessaryconditionsontheiterativeapproximationtothefixedpointsofsinglevaluedstronglypseudocontractivemappingsandthesolutionsofsinglevaluedstro

5、nglyaccretiveoperatorequationswillbeprovedInthefinalpart，somesufficientconditionsontheiterativeapproximationtothefixedpointsofmulti—valuedstronglypseudocontractivemappingsandthesolutionsofmultivaluedstronglyaccretiveoper