ON THE STABILITY OF A MIXED CUBIC AND QUARTIC FUNCTIONAL EQUATION: FIXED POINT METHOD
JOHN MICHAEL RASSIAS *
Section of Mathematics and Informatics, Pedagogical Department E. E., National and Kapodistrian University of Athens, 15342 Athens, Greece
R. MURALI
Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, Tamil Nadu, India
A. ANTONY RAJ
Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, Tamil Nadu, India
V. VITHYA
Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, Tamil Nadu, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove the stabilities and non-stabilities of a new mixed type cubic and quartic functional equation in 2-Banach space using fixed point method in the sense of Hyers-Ulam.
Keywords: Hyers-Ulam stability, mixed type Cubic-Quartic functional equation, 2-Banach space, fixed point method