The theory and some applications of Pták's method of non-discrete mathematical induction

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dc.contributor.advisorWebb, John Hen_ZA
dc.contributor.authorMarsh, Terence Anthonyen_ZA
dc.date.accessioned2016-03-21T19:06:02Z
dc.date.available2016-03-21T19:06:02Z
dc.date.issued1977en_ZA
dc.descriptionBibliography: p. 79-80.en_ZA
dc.description.abstractThe aim of this thesis is three-fold: (1) to develop the theory of small functions; (2) to synthesize Pták's work presented in his papers [10], [11], ..., [16] into a coherent body of knowledge; (3) to elaborate on Pták's work (i) by providing small function generalizations of Banach's Fixed Point Theorem and Edelstein's Extended Contraction Principle; (ii) by connecting the Induction Theorem to Baire's Category Theorem and Cantor's Intersection Theorem. Throughout the exposition the editorial "we" is to be understood in the sense of Halmos [ 18]; "we" means "the author and the reader".en_ZA
dc.identifier.apacitationMarsh, T. A. (1977). <i>The theory and some applications of Pták's method of non-discrete mathematical induction</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/18036en_ZA
dc.identifier.chicagocitationMarsh, Terence Anthony. <i>"The theory and some applications of Pták's method of non-discrete mathematical induction."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1977. http://hdl.handle.net/11427/18036en_ZA
dc.identifier.citationMarsh, T. 1977. The theory and some applications of Pták's method of non-discrete mathematical induction. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Marsh, Terence Anthony AB - The aim of this thesis is three-fold: (1) to develop the theory of small functions; (2) to synthesize Pták's work presented in his papers [10], [11], ..., [16] into a coherent body of knowledge; (3) to elaborate on Pták's work (i) by providing small function generalizations of Banach's Fixed Point Theorem and Edelstein's Extended Contraction Principle; (ii) by connecting the Induction Theorem to Baire's Category Theorem and Cantor's Intersection Theorem. Throughout the exposition the editorial "we" is to be understood in the sense of Halmos [ 18]; "we" means "the author and the reader". DA - 1977 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1977 T1 - The theory and some applications of Pták's method of non-discrete mathematical induction TI - The theory and some applications of Pták's method of non-discrete mathematical induction UR - http://hdl.handle.net/11427/18036 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18036
dc.identifier.vancouvercitationMarsh TA. The theory and some applications of Pták's method of non-discrete mathematical induction. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1977 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18036en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematicsen_ZA
dc.titleThe theory and some applications of Pták's method of non-discrete mathematical inductionen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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