JAI functional contractions in relational metric spaces
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914492455059456 |
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| author | Turinici, Mihai |
| author_facet | Turinici, Mihai |
| contents | The 2015 fixed point result on rs-relational metric spaces due to Alam and Imdad [J. Fixed Point Th. Appl., 17 (2015), 693-702] is equivalent with the classical Banach Contraction Principle [Fund. Math., 3 (1922), 133-181]. This is also valid for the 1961 statement in metric spaces due to Edelstein [Proc. Amer. Math. Soc., 12 (1961), 7-10], or the 2005 fixed point result in quasi-ordered metric spaces obtained by Nieto and Rodriguez-Lopez [Order, 22 (2005), 223-239]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18515 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | JAI functional contractions in relational metric spaces Turinici, Mihai General Topology 47H10 (Primary), 54H25 (Secondary) The 2015 fixed point result on rs-relational metric spaces due to Alam and Imdad [J. Fixed Point Th. Appl., 17 (2015), 693-702] is equivalent with the classical Banach Contraction Principle [Fund. Math., 3 (1922), 133-181]. This is also valid for the 1961 statement in metric spaces due to Edelstein [Proc. Amer. Math. Soc., 12 (1961), 7-10], or the 2005 fixed point result in quasi-ordered metric spaces obtained by Nieto and Rodriguez-Lopez [Order, 22 (2005), 223-239]. |
| title | JAI functional contractions in relational metric spaces |
| topic | General Topology 47H10 (Primary), 54H25 (Secondary) |
| url | https://arxiv.org/abs/2604.18515 |