Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866910990390525952 |
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| author | Özgür, Nihal Taş, Nihal |
| author_facet | Özgür, Nihal Taş, Nihal |
| contents | This paper is concerning to the geometric study of fixed points of a self-mapping on a metric space. We establish new generalized contractive conditions which ensure that a self-mapping has a fixed disc or a fixed circle. We introduce the notion of a best proximity circle and explore some proximal contractions for a non-self-mapping as an application. Necessary illustrative examples are presented to highlight the importance of the obtained results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_12302 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application Özgür, Nihal Taş, Nihal Metric Geometry Primary 54H25, Secondary 47H09, 47H10 This paper is concerning to the geometric study of fixed points of a self-mapping on a metric space. We establish new generalized contractive conditions which ensure that a self-mapping has a fixed disc or a fixed circle. We introduce the notion of a best proximity circle and explore some proximal contractions for a non-self-mapping as an application. Necessary illustrative examples are presented to highlight the importance of the obtained results. |
| title | Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application |
| topic | Metric Geometry Primary 54H25, Secondary 47H09, 47H10 |
| url | https://arxiv.org/abs/1910.12302 |