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Advances in Fuzzy Systems
Volume 2013 (2013), Article ID 613604, 8 pages
http://dx.doi.org/10.1155/2013/613604
Research Article

Approximate Fixed Point Theorems in Fuzzy Norm Spaces for an Operator

1Faculty of Mathematics, Vali-e-Asr University, Rafsanjan, Iran
2Faculty of Mathematics, Yazd University, Yazd, Iran

Received 31 December 2012; Accepted 22 March 2013

Academic Editor: Toly Chen

Copyright © 2013 S. A. M. Mohsenalhosseini and H. Mazaheri. 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 approximate fixed point and fuzzy diameter in fuzzy norm spaces. We prove theorems for various types of well-known generalized contractions on fuzzy norm spaces with the use of two general lemmas that are given regarding approximate fixed points of operators on fuzzy norm spaces.