Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 234727, 16 pages
http://dx.doi.org/10.1155/2012/234727
Research Article

Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces

Syed Abdul Mohiuddine, Abdullah Alotaibi, and Mustafa Obaid

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 18 May 2012; Revised 25 October 2012; Accepted 9 November 2012

Academic Editor: Seenith Sivasundaram

Copyright © 2012 Syed Abdul Mohiuddine et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces.