A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation. (20th June 2012)

• Record Type: Journal Article
• Authors: Bae, Jae-Hyeong; Park, Won-Gil
• Other Names: Cieplinski Krzysztof Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-06-20
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/205160
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation.