Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916792494981120 |
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| author | Khandani, Hassan |
| author_facet | Khandani, Hassan |
| contents | {Researchers recently introduced interpolative metric spaces and established fixed-point theorems in this setting. We demonstrate that these metrics are a special case of b-metrics. On the other hand, suprametrics and b-suprametrics have also been introduced, and we show that b-suprametric spaces generalize b-metric spaces. We establish corresponding results previously presented in interpolative metric spaces in the framework of b-suprametric spaces with weaker conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11205 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces Khandani, Hassan Metric Geometry {Researchers recently introduced interpolative metric spaces and established fixed-point theorems in this setting. We demonstrate that these metrics are a special case of b-metrics. On the other hand, suprametrics and b-suprametrics have also been introduced, and we show that b-suprametric spaces generalize b-metric spaces. We establish corresponding results previously presented in interpolative metric spaces in the framework of b-suprametric spaces with weaker conditions. |
| title | Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2506.11205 |