The Hyers theorem via the Markov-Kakutani fixed point theorem

DOI10.1007/s11784-013-0102-yzbMath1272.39025OpenAlexW2048986619WikidataQ59289195 ScholiaQ59289195MaRDI QIDQ1950307

Barbara Przebieracz

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1007/s11784-013-0102-y

zbMATH Keywords

Cauchy equationconvextopological spaceMarkov-Kakutani fixed point theoremstability of functional equationapproximate homomorphismsHyers theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

More on Hyers' theorem ⋮ Fixed point theory and the Ulam stability

Cites Work

• Kakutani-type fixed point theorems: a survey
• On stability of the Cauchy equation on semigroups
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
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