Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 23582, 13 pages
doi:10.1155/FPTA/2006/23582

Common fixed point and invariant approximation results in certain metrizable topological vector spaces

Nawab Hussain1,2 and Vasile Berinde3

 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

Abstract

We obtain common fixed point results for generalized I-nonexpansive R-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.