IJPAM: Volume 54, No. 1 (2009)
STABILITY OF CUBIC AND ADDITIVE
FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
K. Ravi
, R. Kodandan
, P. Narasimman
Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Tamil Nadu, INDIA
e-mail: shckravi@yahoo.co.in
Department of Mathematics
Srinivasa Institute of Technology and Management Studies
Chittoor, 517 127, Andhra Pradesh, INDIA
e-mail: Rkodandan1979@rediff.co.in
Department of Mathematics
Priyadarshini Engineering College
Vaniyambadi, 635 751, Tamil Nadu, INDIA
e-mail: simma_gtec@yahoo.co.in
, R. Kodandan, P. Narasimman
Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Tamil Nadu, INDIA
e-mail: shckravi@yahoo.co.in
Department of Mathematics
Srinivasa Institute of Technology and Management Studies
Chittoor, 517 127, Andhra Pradesh, INDIA
e-mail: Rkodandan1979@rediff.co.in
Department of Mathematics
Priyadarshini Engineering College
Vaniyambadi, 635 751, Tamil Nadu, INDIA
e-mail: simma_gtec@yahoo.co.in
Abstract.In this paper, we introduce and investigate the general solution of a new cubic and additive functional equation
![\begin{multline*}
3f(x+y+z)+f(-x+y+z)+f(x-y+z)+f(x+y-z)+4[f(x)+f(y)+f(z)]\\
=4[f(x+y)+f(x+z)+f(y+z)]
\end{multline*}](img4.png){kind=small}
and discuss its Hyers-Ulam-Rassias and J.M. Rassias stability in
quasi-Banach spaces.
Received: June 10, 2009
AMS Subject Classification: 39B52, 39B82, 39B72, 46B03
Key Words and Phrases: Hyers-Ulam-Rassias stability, cubic function, additive function, quasi-Banach space, 
Banach spaces
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 1