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A fixed point approach to the stability of quadratic functional equation with involution. (English) Zbl 1149.39022
Summary: L. Cădariu and V. Radu [Grazer Math. Ber. 346, 43–52 (2004; Zbl 1060.39028)] applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation with involution.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
54E35 Metric spaces, metrizability
39B52 Functional equations for functions with more general domains and/or ranges
54H25 Fixed-point and coincidence theorems (topological aspects)
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References:
[3] doi:10.2307/2042795 · Zbl 0398.47040
[4] doi:10.1007/BF01831117 · Zbl 0836.39007
[6] doi:10.1007/BF01830975 · Zbl 0806.47056
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