In this paper, by using the fixed point method in Banach spaces, we prove the Hyers–Ulam–Rassias stability for the quadratic functional equation (formula present) The concept of the Hyers–Ulam–Rassias stability originated from Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. Soc. 72(2), 297–300 (1978).
CITATION STYLE
Almahalebi, M., Charifi, A., Kabbaj, S., & Elqorachi, E. (2014). A fixed point approach to stability of the quadratic equation. In Springer Optimization and Its Applications (Vol. 94, pp. 53–77). Springer International Publishing. https://doi.org/10.1007/978-3-319-06554-0_3
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