Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 23582, 13 pages
Common fixed point and invariant approximation results in certain metrizable topological vector spaces
1Centre for Advanced Studies in Pure Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
2Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
3Department of Mathematics and Computer Science, Faculty of Sciences, North University of Baia Mare, Victoriei Nr. 76, Baia Mare 430122, Romania
Received 27 June 2005; Revised 1 September 2005; Accepted 6 September 2005
Copyright © 2006 Nawab Hussain and Vasile Berinde. 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.
We obtain common fixed point results for generalized
-nonexpansive -subweakly commuting maps on nonstarshaped
domain. As applications, we establish noncommutative versions of
various best approximation results for this class of maps in
certain metrizable topological vector spaces.