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Fixed point theory in various generalized metric-type spaces.

dc.contributor.advisorSingh, Virath Sewnath.
dc.contributor.advisorSingh, Pravin.
dc.contributor.authorJele, Thokozani Cyprian Martin.
dc.date.accessioned2022-09-05T10:25:19Z
dc.date.available2022-09-05T10:25:19Z
dc.date.created2022
dc.date.issued2022
dc.descriptionDoctoral Degree. University of KwaZulu-Natal, Durban.en_US
dc.description.abstractIn the theory of fixed points, there are numerous articles dealing with generalization of the basic Banach contraction mapping principle. There has been two lines of approach. The first one is concerned with generalizations of the contractive conditions on the mapping space. The other line of investigation deals with various generalizations of the metric spaces and the results that can be obtained in these new frameworks, referred to as metric-type spaces. In this thesis, we elected for the latter approach by providing a more general framework for a b-metric space , G-metric space and S-metric space. In this thesis, we proved that these new metric-type spaces equipped with various contractions type mappings have unique fixed points and provide numerous examples of each metric-type spaced mentioned.en_US
dc.description.notesNotations for thesis are available on page vii.en_US
dc.identifier.urihttps://researchspace.ukzn.ac.za/handle/10413/20818
dc.language.isoenen_US
dc.subject.otherMappings (Mathematics)en_US
dc.subject.otherTopological spaces--Fixed points.en_US
dc.subject.otherFunction spaces.en_US
dc.subject.otherBanach spaces.en_US
dc.titleFixed point theory in various generalized metric-type spaces.en_US
dc.typeThesisen_US

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