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On the stability of pexider functional equation in non-archimedean spaces

Reza Saadati1*, Seiyed Mansour Vaezpour2 and Zahra Sadeghi1

Author Affiliations

1 Department of Mathematics, Science and Research Branch, Islamic Azad University (iau), Tehran, Iran

2 Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran

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Journal of Inequalities and Applications 2011, 2011:17  doi:10.1186/1029-242X-2011-17

Published: 24 June 2011

Abstract

In this paper, the Hyers-Ulam stability of the Pexider functional equation

in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.

MSC 2010:26E30, 39B52, 39B72, 46S10

Keywords:
Hyers-Ulam stability of functional equation; Non-Archimedean space; Quadratic; Cauchy and Pexider functional equations