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Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 493751, 9 pages
doi:10.1155/2008/493751

Research Article

Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach

Choonkil Park

Department of Mathematics, Hanyang University, Seoul 133-791, South Korea

Received 6 September 2007; Revised 19 November 2007; Accepted 15 February 2008

Recommended by Thomas Bartsch

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.