Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Hyers-Ulam-Rassias stability of a composite functional equation in various normed spaces

Document Type : Research Paper

Author
H. Azadi Kenary
Yasouj University
Abstract
In this paper, we prove the generalized Hyers-Ulam(or Hyers-Ulam-Rassias ) stability of the following composite functional equation

f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y)

in various normed spaces.
Keywords
Generalized Hyers-Ulam stability
random normed space
non-Archimedean normed spaces
fixed point method

Subjects

  • Receive Date 24 July 2011
  • Revise Date 02 April 2012
  • Accept Date 12 April 2012