The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\)

DOI10.12775/TMNA.2019.040zbMath1428.26022arXiv1805.01997OpenAlexW3103886866MaRDI QIDQ2336089

Eliza Jabłońska, Taras Banakh, Wojciech Jabłoński

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01997

zbMATH Keywords

continuityEuclidean spacecontinuumadditive functionanalytic setmid-convex functionGer-Kuczma classes

Mathematics Subject Classification ID

Continuous maps (54C05) Connected and locally connected spaces (general aspects) (54D05) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Real-valued functions in general topology (54C30)

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