Fixed Points and Stability of a Generalized Quadratic Functional Equation. (24th February 2009)

• Record Type: Journal Article
• Authors: Najati, Abbas; Park, Choonkil
• Other Names: Wong Patricia J. Y. Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-02-24
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/193035
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : Using the fixed point method, we prove the generalized Hyers-Ulam stability of the generalized quadratic functional equationf ( r x + s y ) = r 2 f ( x ) + s 2 f ( y ) + ( r s / 2 ) [ f ( x + y ) − f ( x − y ) ] in Banach modules, wherer, s are nonzero rational numbers withr 2 + s 2 ≠ 1 .