Ptolemaic spaces and their generalizations

Authors

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

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.

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