Continuity of solutions of the translation equation

DOI10.1007/S00010-007-2886-6zbMath1144.39016OpenAlexW2155120135MaRDI QIDQ2474089

Witold Jarczyk, Wojciech Chojnacki, Karol Baron

Publication date: 5 March 2008

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-007-2886-6

zbMATH Keywords

metric spacestranslation equationCarathéodory solutionsseparately continuous solutions

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Iteration of real functions in one variable (26A18)

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On the differentiability of the solutions of translation equation ⋮ On the geometric concomitants ⋮ On the geometric concomitant equation ⋮ Multi-variable translation equation which arises from homothety ⋮ On the stability of the translation equation and dynamical systems ⋮ Miscellanea About the Stability of Functional Equations ⋮ Karol Baron: a little bit about him on his 70th birthday ⋮ Cocycles and continuous iteration semigroups of triangular functions ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case

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