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Eilenberg-Jachymski collections and its first consequences for the fixed point theory

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Publication:2031285
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DOI10.1007/s11784-021-00854-4OpenAlexW3148508151MaRDI QIDQ2031285

Imed Kedim, Maher Berzig

Publication date: 9 June 2021

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

Full work available at URL: https://doi.org/10.1007/s11784-021-00854-4


zbMATH Keywords

fixed point theoremspartially ordered setscompact spacesEJ-collections


Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Fixed-point theorems (47H10)




Cites Work

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  • A new type of fixed point theorem in metric spaces
  • An answer to an open problem of Jachymski
  • A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
  • Eine direkte Ableitung des Zornschen Lemmas aus dem Auswahlaxiom
  • On Fixed and Periodic Points Under Contractive Mappings
  • Edelstein's fixed point theorem in topological spaces
  • A fixed point theorem equivalent to the axiom of choice
  • The axiom of choice


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