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arXiv · 2501.03651

Quasisymmetric mappings in b-metric spaces

Evgeniy A. Petrov·Ruslan R. Salimov
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Abstract

Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-V\"{a}is\"{a}l\"{a} inequality. The condition under which the image of a b-metric space under quasisymmetry is also a b-metric space is established. Moreover, the latter question is investigated for additive metric spaces.

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Evgeniy A. Petrov, Ruslan R. Salimov. 2025-01-07. Quasisymmetric mappings in b-metric spaces. https://doi.org/10.1007/s10958-021-05459-3

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