不动点定理及其应用_高考_

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1、摘要本文首先ӻ绍Ba贡a化h空间中的нࣘ点定理、在ަ他线性拓扑空间中нࣘ点定理的一维推广形式、在一般完备度䟿空间к的推广形式.ަ次,通过࠶析䘁几ᒤ全ഭ各地高考数学卷中一Ӌ试题特点,总结了利用нࣘ点定理求解有ޣ数ࡇ的䰞题.ަ中包括数ࡇ通项、数ࡇ的有界性䰞题.最ਾӻ绍了нࣘ点定理中的吸引нࣘ点和排斥нࣘ点在䇘论数ࡇ的单调性及收敛性方面的应用.ޣ键词˖Ba贡a化hнࣘ点定理,数ࡇ通项，有界性，单调性，收敛性.AbstractThisarticlefirstlyintroducedtheFixpointTheoreminBanachspace,theone-dimension

2、alextendedformoftheFixpointTheoreminotherlineartopologicalspaceandtheextendedformingeneralcompletemetricspace.Then,wesummarizedtheproblemonsequenceofnumberusingFixpointTheorem,analyzingthecharacteristicsoftestsemergedonmathpapersofallpartsofourcountryrecentyears,includingtheproblemofgen

3、eraltermandboundednessofasequenceofnumber.Atlast,attractivefixpointandrejectionfixpointinFixpointTheoremwereintroducedwhichcansolvetheproblemaboutthemonotonicityandastringencyofsequenceofnumber.Keywords:Banachfixedpointtheorem,Sequence,Boundedness,MonotonicityConvergence.I目录第1章绪论.......

4、......................................................................................................................31.1ሬ论.............................................................................................................................31.1.1选题背景............................

5、.............................................................................31.1.2选题意ѹ.........................................................................................................21.1.3课题研ウ内容...................................................................................

6、..............41.2研ウ现状....................................................................................................................21.3本章小结.....................................................................................................................3第2章нࣘ点定理...............

7、..................................................................................................42.1有ޣ概念....................................................................................................................42.2нࣘ点定理和几种推广形式........................................