A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa

DOI10.1186/s13663-014-0257-2zbMath1332.46006OpenAlexW2136316735WikidataQ59406133 ScholiaQ59406133MaRDI QIDQ2017668

Barbara Przebieracz

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13663-014-0257-2

zbMATH Keywords

Mazur-Orlicz theoremMarkov-Kakutani theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22)

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On best proximity points of upper semicontinuous multivalued mappings ⋮ On the equivalence in ZF+BPI of the Hahn-Banach theorem and three classical theorems

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