IJPAM: Volume 39, No. 4 (2007)

HYERS-ULAM-RASSIAS STABILITY OF
HOMOMORPHISMS OF VARIOUS FUNCTIONAL
EQUATIONS IN QUASI-BANACH ALGEBRAS

K. Ravi$^1$, R. Murali$^2$
$^{1,2}$Department of Mathematics
Sacred Heart College
Tirupattur, Tamil Nadu, 635 601, INDIA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]


Abstract.In this paper, we investigate the Hyers-Ulam-Rassias stability of homomorphisms of general Cauchy, Jensen's, Cauchy-Jensen's, Apollonius functional equations in quasi-Banach algebras. This idea is also applied to additive mapping of first form and second form. We also investigate isomorphisms between quasi-Banach algebras.

Received: August 24, 2007

AMS Subject Classification: 39B52, 46B03

Key Words and Phrases: Cauchy functional equation, Jensen functional equation, Cauchy-Jensen functional equation, Apollonius functional equation, additive mapping of first form and second form, homomorphisms in quasi-Banach algebra, Hyers-Ulam-Rassias Stability, $p-$Banach algebra

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 4