The Monotone Contraction Mapping Theorem
In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2879283 |
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| _version_ | 1832554572259786752 |
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| author | Joseph Frank Gordon |
| author_facet | Joseph Frank Gordon |
| author_sort | Joseph Frank Gordon |
| collection | DOAJ |
| description | In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space. |
| format | Article |
| id | doaj-art-6ffac9d4bb4349e0b007208d2981feb5 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6ffac9d4bb4349e0b007208d2981feb52025-02-03T05:51:13ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/28792832879283The Monotone Contraction Mapping TheoremJoseph Frank Gordon0Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaIn this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.http://dx.doi.org/10.1155/2020/2879283 |
| spellingShingle | Joseph Frank Gordon The Monotone Contraction Mapping Theorem Journal of Mathematics |
| title | The Monotone Contraction Mapping Theorem |
| title_full | The Monotone Contraction Mapping Theorem |
| title_fullStr | The Monotone Contraction Mapping Theorem |
| title_full_unstemmed | The Monotone Contraction Mapping Theorem |
| title_short | The Monotone Contraction Mapping Theorem |
| title_sort | monotone contraction mapping theorem |
| url | http://dx.doi.org/10.1155/2020/2879283 |
| work_keys_str_mv | AT josephfrankgordon themonotonecontractionmappingtheorem AT josephfrankgordon monotonecontractionmappingtheorem |