Abstract and Applied Analysis
Volume 2013 (2013), Article ID 808092, 11 pages
http://dx.doi.org/10.1155/2013/808092
Research Article

Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces

Feng Gu and Yun Yin

Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China

Received 1 February 2013; Accepted 7 February 2013

Academic Editor: Yisheng Song

Copyright © 2013 Feng Gu and Yun Yin. 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

Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.