Ptolemaic spaces and their generalizations

Authors

  • Begzod Yuldashev Egambergan ugli Novosibirsk State University, Novosibirsk 630090, Russia

DOI:

https://doi.org/10.66147/lnaa.20242127

Keywords:

Self-affine se, fractal interpolation function, self-similar zipper, Jordan arc

Abstract

We introduce a new notion of quasi-Ptolemaic space and find the relations between quasi-Ptolemaic spaces and b-metric spaces. We prove that each b-metric space is quasi-Ptolemaic and prove that quasimobius mappings send quasi-Ptolemaic spaces to quasi-Ptolemaic spaces.

References

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Published

2024-03-27

Issue

2 (2024) No. 1

Section

Articles

License

Copyright (c) 2024 Begzod Yuldashev Egambergan ugli

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ptolemaic spaces and their generalizations. (2024). Letters in Nonlinear Analysis and Its Applications, 2(1), 28-34. https://doi.org/10.66147/lnaa.20242127