Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 746045, 15 pages
doi:10.1155/2010/746045
Research Article

Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces

M. H. Shah,1 N. Hussain,2 and A. R. Khan3

1Department of Mathematical Sciences, LUMS, DHA Lahore, Pakistan
2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
3Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 17 May 2010; Accepted 21 July 2010

Academic Editor: Yeol J. E. Cho

Copyright © 2010 M. H. Shah 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

Using the notion of weakly F-contractive mappings, we prove several new common fixed point theorems for commuting as well as noncommuting mappings on a topological space X. By analogy, we obtain a common fixed point theorem of mappings which are strongly F-expansive on X.