Title of article :
STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES
Author/Authors :
MONDAL, PRATAP Department of Mathematics - Bijoy Krishna Girls’ College - Howrah - West Bengal, India , SAMANTA, T.K Department of Mathematics - Uluberia College - Uluberia - Howrah - West Bengal, India
Abstract :
Using fixed point technique, in the present paper , we wish to examine generalization 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 ) − f (i x − 2 y ) = − 4 f (i x − y ) + f ( x ) − f ( − y ) (0.2)
in complex Banach spaces .
Keywords :
fixed point , Hyers-Ulam-Rassias stability , functional equation , stability of functional equation , complex Banach space
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
