On metric-preserving functions and fixed point theorems

DOI10.1186/1687-1812-2014-179zbMath1440.54041arXiv1405.7259OpenAlexW2156627711WikidataQ59321095 ScholiaQ59321095MaRDI QIDQ288061

Imchit Termwuttipong, Prapanpong Pongsriiam

Publication date: 24 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7259

zbMATH Keywords

metric-preserving functionrectifiably pathwise connected spacelocal radial contractionmetric transformuniform local multivalued contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Algebraic properties of function spaces in general topology (54C40)

Related Items (6)

Remarks on b-Metric and metric-preserving functions ⋮ Remarks on \(w\)-distances and metric-preserving functions ⋮ Remarks on b-metrics, ultrametrics, and metric-preserving functions ⋮ Fixed points of multivalued \(({\alpha_*}-\phi)\)-contractions and metric transforms ⋮ On functions preserving products of certain classes of semimetric spaces ⋮ On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality

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• On Certain Types of Continuous Transformations of Metric Spaces
• Fixed point theorems for nonexpansive mappings

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