On completeness in metric spaces and fixed point theorems

DOI10.1007/s00025-018-0896-4zbMath1405.54025OpenAlexW2895972594MaRDI QIDQ1990696

Bernardino Roig, Almanzor Sapena, Juan-José Miñana, Valentín Gregori

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/146307

zbMATH Keywords

completenessfixed point theorem(non-Archimedean) ultrametric

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

• Cauchyness and convergence in fuzzy metric spaces
• Fixed points in fuzzy metric spaces
• On fixed point theorems in fuzzy metric spaces
• On fixed-point theorems in fuzzy metric spaces
• Fixed point theorems and Cauchy sequences in fuzzy metric spaces
• A Banach contraction theorem in fuzzy metric spaces
• On Fixed and Periodic Points Under Contractive Mappings
• The solution by iteration of nonlinear functional equations in Banach spaces
• On Nonlinear Contractions
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