Jung, Soon-Mo; Lee, Zoon-Hee A fixed point approach to the stability of quadratic functional equation with involution. (English) Zbl 1149.39022 Fixed Point Theory Appl. 2008, Article ID 732086, 11 p. (2008). 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. Cited in 10 Documents 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) Keywords:Cauchy functional equation; metric space; fixed point method; Jensen functional equations; Hyers-Ulam-Rassias stability; quadratic functional equation with involution Citations:Zbl 1060.39028 PDF BibTeX XML Cite \textit{S.-M. Jung} and \textit{Z.-H. Lee}, Fixed Point Theory Appl. 2008, Article ID 732086, 11 p. (2008; Zbl 1149.39022) Full Text: DOI EuDML 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 [11] doi:10.1007/BF02755452 · Zbl 0899.39007 [12] doi:10.1155/S0161171296000324 · Zbl 0843.47036 [13] doi:10.1090/S0002-9904-1968-11933-0 · Zbl 0157.29904 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.