Browder型變分不等式和變分包含問題的研究.pdf

1、分類號UDC密級編號—G2003—0251學位論文魚嬰理豎型變盆丕笠述塑變筮魚僉回題的嬰塞』地衄旦紐盟幽壁堡Q￡娶￡Q塑墮叟￡墜照笪Q塾墾!一Inequalitiesand—V——a—r—i—a—t—io—n——a—l—I—n—c—l—u—s—i—o—n—s—墨堡垡獵導教師姓名：趔堡盛熬握直昌太堂數(shù)堂丕申請學位級別：—亟—專業(yè)名稱：廑旦塑堂論文提交日期：』塑籃g旦論文答辯日期：2Q豎生題目學位授予單位和日期：一直昌盔堂曼Q豎生旦旦答辯委

2、員會主席：評閱人：2006年5月日StudyonproblemsofBrowderVariationalInequalitiesandVariationalInclusionsAbstractInthispaperwestudy13rowderset—valuedvariationalinequalitiesinrealreflexiveBanachspaces，andwediscussallexistencetheoremofsolu

3、tionsbyusingpenaltytechniqueOurresultsimproveandgeneralizemanyknownresuItsByusingthetechniqueoftheresolventoperatorandYosidaapproximantofmonotonemappingsandtopologicaldegreemethodsinrealreflexiveBanachspaces，wediscussall

4、existencetheoremofsolutionsforBrowdersetvaluedvariationalinclusions，improveandextendthecorrespondingresultsof[6，7，8，9，131Finally靴suggestRniterativealgorithmforfindingtheapproximatesolutionofthisclassofinclusionsinaunifor

5、mlyconvexanduniformlysmoothBanachspaceThisthesisisdividedintofivesectiOUS，Thefirstsectionisanintroduction，Thesecondsectionispreliminaries。Insectionthree，veediscussgeneralizedBrowderset—valuedvariationalinequalitiesinreal

6、reflexiveBanachspacesInsectionfourwediscussaDexistenceflaeoremofsolutionsforaclassofBrowdersetvaluedvariationalinclusionsInsectionfive，wediscusstheconvergenceoftshikawaiterationprocessinauniformlyconvexanduniformlysmooth