Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces. (17th September 2013)

• Record Type: Journal Article
• Authors: Kim, Hark-Mahn; Lee, Juri
• Other Names: Xu Bing Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-09-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/869274
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We consider general solution and the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation f r x + s y + r s f x - y = r + s r f x + s f y in fuzzy Banach spaces, where r, s are nonzero rational numbers with r 2 + r s + s 2 - 1 ≠ 0, r + s ≠ 0 .