On subadditive functions and ψ-additive mappings
Copyright policy )On subadditive functions and ψ-additive mappings
Abstract In [4], assuming among others subadditivity and submultiplicavity of a function ψ: [0, ∞)→[0, ∞), the authors proved a Hyers-Ulam type stability theorem for “ψ-additive” mappings of a normed space into a normed space. In this note we show that the assumed conditions of the function ψ imply that ψ=0 and, consequently, every “ψ-additive” mapping must be additive
- University of Zielona Góra Poland
hyers-ulam stability, Stability, separation, extension, and related topics for functional equations, normed spaces, submultiplicative function, ψ-additive function, 39b72, QA1-939, Functional equations for functions with more general domains and/or ranges, Functional inequalities, including subadditivity, convexity, etc., Hyers-Ulam stability, subadditive function, Mathematics, \(\psi\)-additive function
hyers-ulam stability, Stability, separation, extension, and related topics for functional equations, normed spaces, submultiplicative function, ψ-additive function, 39b72, QA1-939, Functional equations for functions with more general domains and/or ranges, Functional inequalities, including subadditivity, convexity, etc., Hyers-Ulam stability, subadditive function, Mathematics, \(\psi\)-additive function
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