Stability of Exponential Functional Equations with Involutions

Let S be a commutative semigroup if not otherwise specified and f:S→ℝ. In this paper we consider the stability of exponential functional equations |f(x+σ(y))-g(x)f(y)|≤ϕ(x) or  ϕ(y), |f(x+σ(y))-f(x)g(y)|≤ϕ(x) or ϕ(y) for all x,y∈S and where σ:S→S is an involution. As main results we investigate boun...

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Bibliographic Details
Main Authors: Jaeyoung Chung, Soon-Yeong Chung
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/619710
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