Stability of the generalized alternative Cauchy equation

DOI10.1007/BF02940863zbMath0951.39007WikidataQ112226180 ScholiaQ112226180MaRDI QIDQ1969676

Jacek Tabor, Bogdan Batko

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

stabilitycommutative semigroupfunctional inequalityArchimedean Riesz spacealternative Cauchy equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (7)

A fixed point theorem and the Hyers-Ulam stability in Riesz spaces ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ On approximate solutions of functional equations in vector lattices ⋮ Stability of the exponential functional equation in Riesz algebras ⋮ The stability of Dhombres' equation in Riesz spaces ⋮ Spectral representation theory and stability of the multiplicative Dhombres functional equation in \(f\)-algebras ⋮ Superstability of the Cauchy equation with squares in finite-dimensional normed algebras

Cites Work

• Stability of an alternative Cauchy equation on a restricted domain
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