A Counterexample to the Infinity Version of the Hyers and Ulam Stability Theorem

DOI10.2307/2160137zbMath0840.26015OpenAlexW4245931261WikidataQ124993678 ScholiaQ124993678MaRDI QIDQ4201625

Pier Luigi Papini, Emanuele Casini

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160137

zbMATH Keywords

approximately convex functionsconvex approximation propertyHyers and Ulam stability theorem

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Convexity of real functions of several variables, generalizations (26B25) Approximation by convex sets (52A27) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (max. 100)

Nearly convex functions, perturbations of norms and $K$-spaces ⋮ On approximately convex functions

Cites Work

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• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• Almost convex sets and best approximation
• Approximately convex functions
• ON APPROXIMATELY SUBADDITIVE FUNCTIONS
• Approximately Convex Functions
• Remarks on the stability of functional equations

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