Abstract and Applied Analysis
Volume 2011 (2011), Article ID 456182, 19 pages
http://dx.doi.org/10.1155/2011/456182
Research Article

Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces

Zhihua Wang1 and Themistocles M. Rassias2

1School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China
2Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Received 2 September 2011; Accepted 29 September 2011

Academic Editor: Gabriel Turinici

Copyright © 2011 Zhihua Wang and Themistocles M. Rassias. 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

In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑ 𝑛 𝑖 = 1 𝑓 ( 𝑥 𝑖 ∑ − ( 1 / 𝑛 ) 𝑛 𝑗 = 1 𝑥 𝑗 ∑ ) = 𝑛 𝑖 = 1 𝑓 ( 𝑥 𝑖 ∑ ) − 𝑛 𝑓 ( ( 1 / 𝑛 ) 𝑛 𝑖 = 1 𝑥 𝑖 ) which is said to be a functional equation associated with inner products space.