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2014 Ulam’s Type Stability of Involutional-Exponential Functional Equations
Jaeyoung Chung
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/763914


Let S be a commutative semigroup, f,g:SC and σ:SS an involution. In this paper we consider the stability of involution-exponential functional equations fx+σy-gxfyϕxresp.,  ϕy, |f(x+σy)-f(x)g(y)|ϕ(x) [resp.,  ϕ(y)] for all x,yS, where ϕ:SR+ satisfies the growth condition: there exists C>1 such that limkC-kϕ(kx)=0 for each xS. We also consider the stability of L-version |f(x+σy)-f(x)f(y)|L(R2n)ϵ, where f:RnC is a locally integrable function.


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Jaeyoung Chung. "Ulam’s Type Stability of Involutional-Exponential Functional Equations." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023038
MathSciNet: MR3272212
Digital Object Identifier: 10.1155/2014/763914

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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