Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 297360, 14 pages
doi:10.1155/2011/297360
Research Article

Impact of Common Property (E.A.) on Fixed Point Theorems in Fuzzy Metric Spaces

D. Gopal,1 M. Imdad,2 and C. Vetro3

1Department of Mathematics and Humanities, National Institute of Technology, Surat, Gujarat 395007, India
2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
3Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy

Received 7 November 2010; Accepted 9 March 2011

Academic Editor: Jerzy Jezierski

Copyright © 2011 D. Gopal 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 observe that the notion of common property (E.A.) relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, a multitude of recent fixed point theorems of the existing literature are sharpened and enriched.