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    Moradlou, Fridoun and Rassias, Themistocles M. 2013. GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES. Bulletin of the Korean Mathematical Society, Vol. 50, Issue. 6, p. 2061.
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ADDITIVE FUNCTIONAL INEQUALITIES AND DERIVATIONS ON HILBERT C*-MODULES

  • FRIDOUN MORADLOU (a1)
Abstract

In this paper we investigate the following functional inequality

$ \begin{eqnarray*} \| f(x-y-z) - f(x-y+z) + f(y) +f(z)\| \leq \|f(x+y-z) - f(x)\| \end{eqnarray*}$
in Banach spaces, and employing the above inequality we prove the generalized Hyers–Ulam stability of derivations in Hilbert C*-modules.

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Copyright
COPYRIGHT: © Glasgow Mathematical Journal Trust 2013
References
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