Table of Contents
Journal of Operators
Volume 2013 (2013), Article ID 391474, 5 pages
http://dx.doi.org/10.1155/2013/391474
Research Article

Common Fixed Point Theorems for Conversely Commuting Mappings Using Implicit Relations

1Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor, Uttar Pradesh 246701, India
2Department of Applied Mathematics, Z. H. College of Engineering and Technology, Aligarh Muslim University, Aligarh, Uttar Pradesh 202002, India

Received 24 August 2013; Accepted 25 October 2013

Academic Editor: Haiyan Wang

Copyright © 2013 Sunny Chauhan and Huma Sahper. 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

The object of this paper is to utilize the notion of conversely commuting mappings due to Lü (2002) and prove some common fixed point theorems in Menger spaces via implicit relations. We give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results.