Fixed Point Theory and Applications
Volume 2006 (2006), Issue 3, Pages 24543, 9 p.
doi:10.1155/FPTA/2006/24543
Cq-commuting maps and invariant approximations
N. Hussain1
and B.E. Rhoades2
1Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
Abstract
We obtain common fixed point results for generalized I-nonexpansive Cq-commuting maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.