Year: 2026
Type: article
Abstract: In this paper, we study the preservation of Ptolemaic and quasi-Ptolemaic properties under various functional transforms and metric constructions. Starting from a given Ptolemaic or quasi-Ptolemaic space, we construct new semimetric and metric structures by introducing specific deformation metrics involving fixed reference points. In particular, we prove that certain weight-based transformations preserve the Ptolemaic condition or yield quasi-Ptolemaic structures with precise control over their defining parameters. Furthermore, we discuss the applications of these metrics in the framework of Möbius structures and b-metric spaces.
Author: Begzod Yuldashev
Institution: Urgench State University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7214950336