HYERS-ULAM STABILITY OF THE ADDITIVE FUNCTIONAL EQUATION IN BANACH ALGEBRAS
R. MURALI *
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
D. I. ASUNTHA RANI
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
A. ANTONY RAJ
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper using fixed point method, we prove the generalized Hyers-Ulam stability of the additive functional equation in Banach Algebras.
Keywords: Additive functional equation, fixed point, homomorphism in Banach algebra, generalized Hyers-Ulam stability