A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION

Title & Authors
A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION
Jung, Soon-Mo; Kim, Tae-Soo; Lee, Ki-Suk;

Abstract
[ $\small{C\u{a}dariu}$ ] and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of $\small{C\u{a}dariu}$ 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 $\small{{\gamma}-normed}$ space.
Keywords
Hyers-Ulam-Rassias stability;quadratic functional equation;fixed point method;
Language
English
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