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

2025/06/12 by Hassan Khandani, Khandani, Hassan
Engineering · #Advanced Numerical Analysis Techniques #Equivalence of metrics #FOS: Mathematics #Interpolation (computer graphics) #Interpolation space #Metric (unit) #Metric Geometry (math.MG) #Metric map #Metric space #Product metric #Space (punctuation)

paper · pdf · doi:10.48550/arxiv.2506.11205

openalex publication_date 2025/06/12 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/05

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.

Citations

• Nonlinear contraction in b-suprametric spaces
• On a new generalization of metric spaces

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