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Analysis Of Fixed-points Problems In Several Kinds Of Metric Spaces

Posted on:2016-11-18Degree:MasterType:Thesis
Country:ChinaCandidate:S J ChangFull Text:PDF
GTID:2180330464450902Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper is divided into three chapters, metric space and class in the model under somemetric space, contraction mapping fixed point existence and uniqueness are studied.The first chapter is the introduction, research background and current situation of fixed points are studied and analyzed, and the current research situation of this subject at home and abroad research field analysis.The second chapter first introduced the concept model of metric spaces and related definitions, for a class called chatterjea mapping, under appropriate conditions, establish the mapping T has a fixed point existence and uniqueness results are proved correct. And in some literatures on issues related to the certificate errors, th ere are innovations in the proof method. Then, study under the other mapping fixed point and properties.In the third chapter, introduces metric spaces are studied in this space, fixed point theorem.At the same time, give the relevant important lemma, is very important not only are they in this article proof, and has great application value in many relates to partial metric spacefixed point problems.
Keywords/Search Tags:fixed point, modular metric spaces, metric-like spaces
PDF Full Text Request
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