IJPAM: Volume 95, No. 1 (2014)

FIXED POINT AND APPROXIMATELY
COMPOSITE FUNCTIONAL EQUATIONS IN
NON-ARCHIMEDEAN NORMED SPACES

Mohammad Hadi Eghtesadifard$^1$, Dong Yun Shin$^2$, Hassan Azadi Kenary$^3$, Najmeh Sahami$^4$
$^1$Instructor of Fars Education Department
Shiraz, IRAN
$^2$Department of Mathematics
College of Natural Science
University of Seoul
KOREA
$^{3,4}$Department of Mathematics
Beyza Branch
Islamic Azad University
Beyza, IRAN


Abstract. In this paper, we investigate the generalized Hyers-Ulam-Rassias(or Hyers-Ulam) stability of a composite additive functional equation in non-Archimedean normed spaces.

The concept of Hyers-Ulam-Rassias or Hyers-Ulam stability originated from the Th.M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300.

Received: April 29, 2013

AMS Subject Classification: 39B22, 39B52, 39B22, 39B82, 46S10

Key Words and Phrases: Hyers-Ulam stability, stability, non-Archimedean normed spaces

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DOI: 10.12732/ijpam.v95i1.2 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: 2014
Volume: 95
Issue: 1
Pages: 13 - 22


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