STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES

PRATAP MONDAL, T.K. SAMANTA

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Abstract

Using fixed point technique, in the present paper , we wish to examine gen- eralization of the Hyers-Ulam-Rassias stability theorem for the functional equations f ( 2 x + i y ) + f ( x + 2 i y ) = 4 f ( x + i y ) + f ( x ) + f ( y ) (0.1) and f ( 2 x + i y ) . 

Keywords

Fixed point, Hyers-Ulam-Rassias stability, functional equation, stability of functional equation, complex Banach space.