On the stability of the quadratic mapping in normed spaces

Gwang Hui Kim

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-13

Abstract:

The Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f ( x + y ) + f ( x − y ) = 2 f ( x ) + 2 f ( y ) , f ( x + y + z ) + f ( x − y ) + f ( y − z ) + f ( z − x ) = 3 f ( x ) + 3 f ( y ) + 3 f ( z ) , f ( x + y + z ) + f ( x ) + f ( y ) + f ( z ) = f ( x + y ) + f ( y + z ) + f ( z + x ) are investigated.

Date: 2001
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/25/358707.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/25/358707.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:358707

DOI: 10.1155/S0161171201004707

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().