Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 869407, 11 pages
doi:10.1155/2009/869407
Research Article

Common Fixed Points of Generalized Contractive Hybrid Pairs in Symmetric Spaces

Mujahid Abbas1 and Abdul Rahim Khan2

1Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore University of Management Sciences, 54792 Lahore, Pakistan
2Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 16 April 2009; Revised 23 July 2009; Accepted 10 November 2009

Academic Editor: Jerzy Jezierski

Copyright © 2009 Mujahid Abbas and Abdul Rahim Khan. 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

Several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps satisfying generalized contractive conditions are established in a symmetric space.