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International Journal of Analysis
Volume 2013, Article ID 934738, 7 pages
http://dx.doi.org/10.1155/2013/934738
Research Article

Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces

1Department of Mathematics, B.M. Institute of Engineering and Technology, Sonipat-131001 Haryana, India
2Department of Mathematics, M.M. University, Mullana, Ambala-133203 Haryana, India
3Department of Mathematics, D.C.R. University of Science and Technology, Murthal, Sonipat-131039 Haryana, India

Received 31 January 2013; Revised 2 April 2013; Accepted 4 April 2013

Academic Editor: Chuanxi Qian

Copyright © 2013 Balbir Singh 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

First, we prove a common fixed point theorem using weakly compatible maps in 2-Menger space with t-norm of Hadzic type. Second, we prove a common fixed point theorem using the E.A. property along with weakly compatible maps. Further, we obtained a common fixed point theorem using the CLR property along with weakly compatible maps. At the end, we provide an application of our main theorem for four finite families of mappings.