A Fixed Point Approach to the Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation. (15th February 2012)

• Record Type: Journal Article
• Authors: Lee, Yang-Hi; Jung, Soon-Mo
• Other Names: d'Onofrio Alberto Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-02-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/482936
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We investigate the stability problems for a functional equation 2 f ( ∑ j = 1 n x j ) + ∑ 1 ≤ i, j ≤ n, i ≠ j f ( x i - x j ) = ( n + 1 ) ∑ j = 1 n f ( x j ) + ( n - 1 ) ∑ j = 1 n f ( - x j ) by using the fixed point method.