（应用数学专业论文）增生与伪压缩映射迭代算法及变分包含迭代算法中的几个问题.pdf

Abstract Abstract Theconceptsofaccretivemappingandpseudo-contractivemappingwere introduced妙thestudyingofnonlinearevolutionequations,manysignificant problemsandengineerproblemscanbemodeledintermsofthefort. Inthispaperwemainlystudysomeproblemsforiterativeapproximationsof fixedpointsinvolvingaccretivemappingsandpseudo-cwntractivemappings,andalso wediscusstheiterativeapproximationproblemofsolutiontogeneralizedset-valued variationalinclusions.0urresultsimproveandgeneralizemanyknownresults.This thesisisdividedintothefollowingsixsections. Infristsection,thebackgroundoftheiterativeapproximationsoffixedpoints foraccretivemappingsandpseudo-contractivemappingsisintroducedbriefly. 如seocndsection,somenotionsandconclusions恤thispaperhavebeen reviewed Inthirdsection,acharacteristicconditionisgivenforageneralizedsteepest decentmethodtoconvergetothezerosofquasi-accretiveoperator. -Infourthsection,generalized 巾-pseudo-eontractivetypemappingsare introduced.Tbeiterativeconvergenceproblemsofthemappingsareproved 4nfifthsection,theiterativealgorithmsofasymptoticallypseudo-contractive mappingsinBanachspacesarediscussed. 加sixthsection,theexist山corerandconvergencetheoremofthesolutionsto generalizedset-valuedvariationalinclusionsareproved =I{eywords:Quasi-accretiveoperators;generalized必-pseudo-ocntrectivetype mappings;asymptoticallypseudo-eontractivemappings;generalizedset-valued variationalinclusions;iterativealgorithms 学位论文独创性声明 学位论文独创性声明 本人声明所呈交的学位论文是本人在导师指导下进行的研究工作及取得的 研究成果。据我所知，除了文中特别加以标注和致谢的地方外，论文中不包含 其他人已经发表或撰写过的研究成果，也不包含为获得It妇 匕或其他教育 机构的学位或证书而使用过的材料。与我一同工作的同志对本研究所做的任何 贡献均已在论文中作了明确的说明并表示谢意. 学位论文作者签名(手写):瑜 签字aM:，/年iAas日 学位论文版权使用授权书 本学位论文作者完全了解」b述 -有关保留、使用学位论文的规定， 有权保留并向国家有关部门或机构送交论文的复印件和磁盘，允许论文被查阅 和借阅。本人授权南易大李可以将学位论文的全部或部分内容编入有关数据库 进行检索，可以采用影印、缩印或扫描等复制手段保存、汇编学位论