On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces

We prove the generalized Hyers-Ulam stability of the following additive-cubic equation f(kx+y)+f(kx-y)=kf(x+y)+kf(x-y)+2f(kx)-2kf(x) in the setting of random normed spaces.

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2010; no. 1; p. 328473
Main Authors:	Tian Zhou Xu, Rassias, John Michael, Wan Xin Xu
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01-01-2010 BioMed Central Ltd SpringerOpen
Subjects:	Mathematics Norms Particle physics Probability Studies
Online Access:	Get full text
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Description
Summary:	We prove the generalized Hyers-Ulam stability of the following additive-cubic equation f(kx+y)+f(kx-y)=kf(x+y)+kf(x-y)+2f(kx)-2kf(x) in the setting of random normed spaces.
ISSN:	1025-5834 1029-242X 1029-242X
DOI:	10.1186/1029-242X-2010-328473