Penot's compactness property in ultrametric spaces with an application

DOI10.1155/2021/5542843zbMath1470.54016OpenAlexW3154318847MaRDI QIDQ2028655

Mostafa Bachar, Messaoud Bounkhel, Samih Lazaiz

Publication date: 1 June 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5542843

zbMATH Keywords

fixed pointcompactnessconvexity structureultrametric spacespherical completeness

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Best proximity pairs in ultrametric spaces

Cites Work

• Some fixed point results in ultrametric spaces
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• The common point theorem for ultrametric spaces
• Fixed points and stable balls in ultrametric spaces
• Trees and ultrametric spaces: A categorical equivalence
• Fixed Point Theory in Distance Spaces
• A convexity in metric space and nonexpansive mappings. I.
• A Fixed Point Theorem in Non-Archimedean Vector Spaces
• Ultrametric Pseudodifferential Equations and Applications
• Ultrametric spaces and logic programming
• An Introduction to Metric Spaces and Fixed Point Theory
• The solution by iteration of nonlinear functional equations in Banach spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
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