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 A fixed point approach to the Cauchy-Rassias stability of general Jensen type quadratic-quadratic mappings Bull. Korean Math. Soc. 2010 Vol. 47, No. 5, 987-996 https://doi.org/10.4134/BKMS.2010.47.5.987Published online September 1, 2010 Choonkil Park, M. Eshaghi Gordji, and H. Khodaei Hanyang University, Semnan University, Semnan University Abstract : In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation: $$f(\frac{sx+ty}{2}+rz)+f(\frac{sx+ty}{2}-rz)+f(\frac{sx-ty}{2}+rz)+f(\frac{sx-ty}{2}-rz) =\ s^2f(x)+t^2f(y)+4r^2f(z)$$ for any fixed nonzero integers $s,t,r$ with $r\neq \pm1$. Keywords : Cauchy-Rassias stability, quadratic mapping, fixed point method MSC numbers : 39B82, 39B52, 47H10 Full-Text :