Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 642303, 11 pages
doi:10.1155/2010/642303
Research Article

Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces

M. Cancan

Department of Mathematics, Yuzuncu Yil University, 65080 Van, Turkey

Received 18 August 2010; Accepted 11 November 2010

Academic Editor: D. R. Sahu

Copyright © 2010 M. Cancan. 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 Browder's fixed point theorem and relation between an intuitionistic fuzzy convex normed space and a strong intuitionistic fuzzy uniformly convex normed space. Also, we give an example to show that uniformly convex normed space does not imply strongly intuitionistic fuzzy uniformly convex.