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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2010.08647 |
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| _version_ | 1866912683958206464 |
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| author | Atailia, Sami Dehici, Abdelkader Redjel, Najeh |
| author_facet | Atailia, Sami Dehici, Abdelkader Redjel, Najeh |
| contents | We prove that a closed convex subset $C$ of a real Hilbert space $X$ has the fixed point property for $(c)$-mappings if and only if $C$ is bounded. Some convergence results about the iterations are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_08647 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The fixed point property for $(c)$-mappings and unbounded sets Atailia, Sami Dehici, Abdelkader Redjel, Najeh Functional Analysis 47H10, 54H25 We prove that a closed convex subset $C$ of a real Hilbert space $X$ has the fixed point property for $(c)$-mappings if and only if $C$ is bounded. Some convergence results about the iterations are obtained. |
| title | The fixed point property for $(c)$-mappings and unbounded sets |
| topic | Functional Analysis 47H10, 54H25 |
| url | https://arxiv.org/abs/2010.08647 |