A Fixed Point Approach to the Stability of a Functional Equation

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 4, 2010, pp.557-564
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.4.557

Title & Authors

A Fixed Point Approach to the Stability of a Functional Equation

Park, Won-Gil; Bae, Jae-Hyeong;

Park, Won-Gil; Bae, Jae-Hyeong;

Abstract

By using an idea of Cdariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equation f(x + y,z - w) + f(x - y,z + w) = 2f(x, z) + 2f(y, w). The quadratic form given by f(x, y) = is a solution of the above functional equation.

Keywords

Alternative of fixed point;Functional equation;Stability;

Language

English

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