Fuzzy approximation of an additive functional equation. Issue 2 (2011)

• Record Type: Journal Article
• Authors: Eskandani Eskandani, G. Zamani G. Zamani; Zamani Zamani, Ali Reza Ali Reza; Vaezi Vaezi, H. H.
• Other Names: Popa Popa Nicolae Nicolae Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 9:Issue 2(2011)
• Page Start: 205
• Page End: 215
• Publication Date: 2011
• Subjects: Hyers-Ulam-Rassias stability, Fuzzy normed space, Additive mapping; Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2011/941731
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑ i = 1 m f ( m x i + ∑ j = 1, j ≠ i m x j ) + f ( ∑ i = 1 m x i ) = 2 f ( ∑ i = 1 m m x i ) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.