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

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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Veröffentlicht in:Journal of inequalities and applications 2010-01, Vol.2010 (1), p.328473-328473
Hauptverfasser: Tian Zhou Xu, Rassias, John Michael, Wan Xin Xu
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Norms
Particle physics
Probability
Studies
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Zusammenfassung: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