Hyers-Ulam Stability of a Quadratic Functional Equation in Banach Algebras: A Fixed Point Approach
K. Ravi *
Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, Tamil Nadu, India.
P. Narasimman
Department of Mathematics, Thiruvalluvar University, College of Arts and Science, Gazhalnayaganpatti, Tirupattur-635 901, Tamil Nadu, India.
A. Edwin Raj
Department of Mathematics, MVJ College of Engineering, Channasandra, Bangalore-560067, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we obtain the general solution of a quadratic functional equation and study the Hyers-Ulam stability of generalized derivations in Banach algebras using a fixed point approach.
Keywords: Quadratic functional equation, generalized Hyers-Ulam stability, Banach algebra, fixed point.