Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 207503, 14 pages
doi:10.1155/2009/207503
Common fixed point and approximation results for noncommuting maps on locally convex spaces
F. Akbar1
and A.R. Khan2
1Department of Mathematics, University of Sargodha, Sargodha, Pakistan
2Department of Mathematics and Statistics, King Fahd University of Petroleum \& Minerals, Dhahran 31261, Saudi Arabia
Abstract
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.