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.


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)


Zbl 1060.39028
Full Text: DOI EuDML


[3] doi:10.2307/2042795 · Zbl 0398.47040 · doi:10.2307/2042795
[4] doi:10.1007/BF01831117 · Zbl 0836.39007 · doi:10.1007/BF01831117
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