Fixed-Point Theorem for Isometric Self-Mappings
In this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed point.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/3640539 |
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| _version_ | 1832563386650460160 |
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| author | Joseph Frank Gordon |
| author_facet | Joseph Frank Gordon |
| author_sort | Joseph Frank Gordon |
| collection | DOAJ |
| description | In this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed point. |
| format | Article |
| id | doaj-art-d32f7ce936dd464299f41a116a8d725b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d32f7ce936dd464299f41a116a8d725b2025-02-03T01:20:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/36405393640539Fixed-Point Theorem for Isometric Self-MappingsJoseph Frank Gordon0Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaIn this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed point.http://dx.doi.org/10.1155/2020/3640539 |
| spellingShingle | Joseph Frank Gordon Fixed-Point Theorem for Isometric Self-Mappings International Journal of Mathematics and Mathematical Sciences |
| title | Fixed-Point Theorem for Isometric Self-Mappings |
| title_full | Fixed-Point Theorem for Isometric Self-Mappings |
| title_fullStr | Fixed-Point Theorem for Isometric Self-Mappings |
| title_full_unstemmed | Fixed-Point Theorem for Isometric Self-Mappings |
| title_short | Fixed-Point Theorem for Isometric Self-Mappings |
| title_sort | fixed point theorem for isometric self mappings |
| url | http://dx.doi.org/10.1155/2020/3640539 |
| work_keys_str_mv | AT josephfrankgordon fixedpointtheoremforisometricselfmappings |