Fixed points and Cauchy sequences in semimetric spaces

DOI10.1007/S11784-015-0233-4zbMath1326.54045OpenAlexW343637954MaRDI QIDQ889913

Naseer Shahzad, William A. Kirk

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11784-015-0233-4

zbMATH Keywords

fixed pointsCauchy sequencesmetric spacesgeneralized metric spacescontraction mappingsCaristi's theoremsemimetric spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (10)

On quasisymmetric mappings in semimetric spaces ⋮ On regular semimetric spaces having strong triangle functions ⋮ A note on generalized four-point inequality ⋮ Unnamed Item ⋮ Caristi's fixed point theorem in semimetric spaces ⋮ Relaxed triangle inequality for the orbital similarity criterion by Southworth and Hawkins and its variants ⋮ Unnamed Item ⋮ Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces ⋮ Properties and principles in Branciari distance space ⋮ Coupled fixed point theorems in topological spaces with size function topology

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• Fixed Point Theory in Distance Spaces
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• Comparing Top k Lists
• On Semi-Metric Spaces
• Functional contractions in local Branciari metric spaces

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