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The theory and some applications of Pták's method of non-discrete mathematical induction
Bibliography: p. 79-80.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613157908807680 |
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| access_status_str | Open Access |
| author | Marsh, Terence Anthony |
| author2 | Webb, John H |
| author_browse | Marsh, Terence Anthony Webb, John H |
| author_facet | Webb, John H Marsh, Terence Anthony |
| author_sort | Marsh, Terence Anthony |
| collection | Thesis |
| description | Bibliography: p. 79-80. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18036 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:41.113Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/18036 The theory and some applications of Pták's method of non-discrete mathematical induction Marsh, Terence Anthony Webb, John H Mathematics Bibliography: p. 79-80. 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". 2016-03-21T19:06:02Z 2016-03-21T19:06:02Z 1977 Master Thesis Masters MSc http://hdl.handle.net/11427/18036 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Marsh, Terence Anthony The theory and some applications of Pták's method of non-discrete mathematical induction |
| thesis_degree_str | Master's |
| title | The theory and some applications of Pták's method of non-discrete mathematical induction |
| title_full | The theory and some applications of Pták's method of non-discrete mathematical induction |
| title_fullStr | The theory and some applications of Pták's method of non-discrete mathematical induction |
| title_full_unstemmed | The theory and some applications of Pták's method of non-discrete mathematical induction |
| title_short | The theory and some applications of Pták's method of non-discrete mathematical induction |
| title_sort | theory and some applications of ptak s method of non discrete mathematical induction |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/18036 |
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