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Vol.18 No.4
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A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.313-328
https://doi.org/10.7468/jksmeb.2011.18.4.313
Jin, Sun-Sook
Lee, Yang-Hi
Jin,, S. , & Lee,, Y. (2011). A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 313-328, https://doi.org/10.7468/jksmeb.2011.18.4.313
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Abstract

We investigate the stability of the functional equation f(x+y+z+w)+2f(x)+2f(y)+2f(z)+2f(w)-f(x+y)-f(x+z)-f(x+w)-f(y+z)-f(y+w)-f(z+w)=0 by using a flxed point theorem in the sense of L. C<TEX>$\breve{a}$</TEX>adariu and V. Radu.

keywords
Hyers-Ulam-Rassias stability, fixed point method, quadratic-additive functional equation

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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