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2014 | OriginalPaper | Chapter

On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains

Authors : Jaeyoung Chung, Jeongwook Chang

Published in: Handbook of Functional Equations

Publisher: Springer New York

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Abstract

In this chapter we consider a weak version of the Hyers–Ulam stability problem for the Pexider equation, Cauchy equation satisfied in restricted domains in a group when the target space of the functions is a 2-divisible commutative group. As the main result we find an approximate sequence for the unknown function satisfying the Pexider functional inequality, the limit of which is the approximate function in the Hyers–Ulam stability theorem.

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previous chapter Generalized Ulam–Hyers Stability Results: A Fixed Point Approach

next chapter On the Stability of Drygas Functional Equation on Amenable Semigroups

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Title: On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains
Authors: Jaeyoung Chung
Jeongwook Chang
Publisher: Springer New York
Book: Handbook of Functional Equations
Print ISBN: 978-1-4939-1285-8

Electronic ISBN: 978-1-4939-1286-5

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-1-4939-1286-5_6

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