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Bull. Korean Math. Soc. 2006; 43(3): 531-541
Printed September 1, 2006
Copyright © The Korean Mathematical Society.
A fixed point approach to the stability of quadratic functional equation
Soon-Mo Jung, Tae-Soo Kim, and Ki-Suk Lee
Hong-Ik University, Chungbuk National University, Korea National University of Education
C\u{a}dariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of C\u{a}dariu and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation for a large class of functions from a vector space into a complete $\beta$-normed space.
Keywords: Hyers-Ulam-Rassias stability, quadratic functional equation, fixed point method
MSC numbers: Primary 39B82; Secondary 47H09
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