Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces
Metric Geometry
2025-06-16 v1
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.
Keywords
Cite
@article{arxiv.2506.11205,
title = {Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces},
author = {Hassan Khandani},
journal= {arXiv preprint arXiv:2506.11205},
year = {2025}
}