IJPAM: Volume 86, No. 4 (2013)
HYERS-ULAM-RASSIAS STABILITY OF
FUNCTIONAL EQUATIONS IN MULTI BANACH SPACES
FUNCTIONAL EQUATIONS IN MULTI BANACH SPACES
Ashish1, Renu Chugh2, Manoj Kumar3
1,2,3Department of Mathematics
Maharshi Dayanand University
Rohtak, 124001, INDIA
1,2,3Department of Mathematics
Maharshi Dayanand University
Rohtak, 124001, INDIA
Abstract. In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional equations f(x+y+z+a) = f(x)+f(y)+f(z) for the mapping f from a linear space into a multi-Banach space. Furthermore, we also establish the asymptotic behavior of the above additive functional equations.
Received: December 12, 2012
AMS Subject Classification: 39B82, 39B52, 39B72
Key Words and Phrases: stability, multi-Banach spaces, additive functional equations
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DOI: 10.12732/ijpam.v86i4.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 4
