Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 207503, 14 pages
Research Article

Common Fixed Point and Approximation Results for Noncommuting Maps on Locally Convex Spaces

1Department of Mathematics, University of Sargodha, Sargodha, Pakistan
2Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

Received 21 February 2009; Accepted 14 April 2009

Academic Editor: Anthony Lau

Copyright © 2009 F. Akbar and A. R. 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.


Common fixed point results for some new classes of nonlinear noncommuting maps on a locally convex space are proved. As applications, related invariant approximation results are obtained. Our work includes improvements and extension of several recent developments of the existing literature on common fixed points. We also provide illustrative examples to demonstrate the generality of our results over the known ones.