Remarks on b-metrics, ultrametrics, and metric-preserving functions

DOI10.1515/ms-2017-0331zbMath1483.26007OpenAlexW2999830473MaRDI QIDQ5142341

Suchat Samphavat, Prapanpong Pongsriiam, Tammatada Khemaratchatakumthorn

Publication date: 30 December 2020

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0331

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Singular functions, Cantor functions, functions with other special properties (26A30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (6)

Remarks on \(w\)-distances and metric-preserving functions ⋮ Quasisymmetric mappings in b-metric spaces ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ On functions preserving products of certain classes of semimetric spaces ⋮ On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality

Cites Work

• On metric-preserving functions and fixed point theorems
• The role of equivalent metrics in fixed point theory
• Prefibers and the cartesian product of metric spaces
• Some remarks on metric preserving functions
• Non standard metric products
• Cartesian products of graphs and metric spaces
• Remarks on ultrametrics and metric-preserving functions
• On metric preserving functions
• Continuity and differentiability aspects of metric preserving functions
• A note on metric preserving functions
• Functions transferring metrics to metrics
• Introduction to Metric-Preserving Functions
• Minkowski versus Euclidean rank for products of metric spaces
• Fixed Point Theory in Distance Spaces
• Products of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces
• Remarks on intrinsic isometries
• On metric products
• Metricity preserving transforms
• Remarks on b-Metric and metric-preserving functions
• Metric products and continuation of isotone functions
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