Fixed-disc results via simulation functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866916770594422784 |
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| author | Özgür, Nihal Yilmaz |
| author_facet | Özgür, Nihal Yilmaz |
| contents | In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions such as completeness or compactness of the metric space or continuity of the self-mapping in our results. Taking only one geometric condition, we ensure the existence of a fixed disc of a new type contractive mapping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_02623 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Fixed-disc results via simulation functions Özgür, Nihal Yilmaz Metric Geometry 54H25, 47H09, 47H10, 54C30, 46T99 In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions such as completeness or compactness of the metric space or continuity of the self-mapping in our results. Taking only one geometric condition, we ensure the existence of a fixed disc of a new type contractive mapping. |
| title | Fixed-disc results via simulation functions |
| topic | Metric Geometry 54H25, 47H09, 47H10, 54C30, 46T99 |
| url | https://arxiv.org/abs/1901.02623 |