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 |
| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |