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 |
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Hindawi Limited
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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Article |
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doaj-d32f7ce936dd464299f41a116a8d725b2020-11-25T03:56:34ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Joseph Frank Gordon |
| spellingShingle |
Joseph Frank Gordon Fixed-Point Theorem for Isometric Self-Mappings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Joseph Frank Gordon |
| author_sort |
Joseph Frank Gordon |
| title |
Fixed-Point Theorem for Isometric Self-Mappings |
| title_short |
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_sort |
fixed-point theorem for isometric self-mappings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2020-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2020/3640539 |
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AT josephfrankgordon fixedpointtheoremforisometricselfmappings |
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