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arXiv · 2506.11205

Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces

Hassan Khandani
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Abstract

{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.

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Hassan Khandani. 2025-06-12. Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces. https://arxiv.org/abs/2506.11205

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