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On completeness of partial metric spaces, symmetric spaces and some fixed point results

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dc.contributor.advisor Moshokoa, Seithuti Philemon
dc.contributor.author Aphane, Maggie
dc.date.accessioned 2017-10-10T15:00:19Z
dc.date.available 2017-10-10T15:00:19Z
dc.date.issued 2016-12
dc.identifier.citation Aphane, Maggie (2016) On completeness of partial metric spaces, symmetric spaces and some fixed point results, University of South Africa, Pretoria, <http://hdl.handle.net/10500/23223>
dc.identifier.uri http://hdl.handle.net/10500/23223
dc.description.abstract The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context, namely in, partial metric spaces and metric type spaces. Finally, xed point results are presented for symmetric spaces. en
dc.format.extent 1 online resource (v, 89 leaves)
dc.language.iso en en
dc.subject Metric space en
dc.subject Quasi metric space en
dc.subject Dislocated metric space en
dc.subject Partial metric space en
dc.subject TV S-cone metric space en
dc.subject TV S-partial cone metric space en
dc.subject dislocated cone metric space en
dc.subject Convergent sequence en
dc.subject Cauchy sequence en
dc.subject 0-Cauchy sequence en
dc.subject Convergence complete en
dc.subject Cauchy complete en
dc.subject 0-Cauchy complete en
dc.subject Contraction constant en
dc.subject Contraction map en
dc.subject Lipschitzian constant en
dc.subject Lipschitzian map en
dc.subject Fixed point en
dc.subject Metric type space en
dc.subject Dislocated metric type space en
dc.subject Partial metric type space en
dc.subject Symmetric space en
dc.subject.ddc 514.325
dc.subject.lcsh Metric spaces en
dc.subject.lcsh Symmetric spaces en
dc.subject.lcsh Fixed point theory en
dc.title On completeness of partial metric spaces, symmetric spaces and some fixed point results en
dc.type Thesis en
dc.description.department Geography en
dc.description.degree Ph. D. (Mathematics)


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