DOAJ Open Access 2024

On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems

Suchat Samphavat Thanakorn Prinyasart

Abstrak

Abstract In this article, new classes of functions based on new variations of metric-preserving functions are defined. Necessary and sufficient conditions for functions to be in these classes are also provided. As a result, we can explain relations between all classes and learn that all functions in the classes are weakly separated from 0. We can extend fixed point theorems, which were originally provided by Kirk and Shahzad and were later extended by Pongsriiam and Termwuttipong, in this journal by considering all functions that are weakly separated from 0.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Analysis

Penulis (2)

Suchat Samphavat

Thanakorn Prinyasart

Format Sitasi

APA MLA BibTeX

Samphavat, S., Prinyasart, T. (2024). On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems. https://doi.org/10.1186/s13663-024-00766-1

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1186/s13663-024-00766-1
Akses: Open Access ✓