Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 23582, 13 p.
doi:10.1155/FPTA/2006/23582
Common fixed point and invariant approximation results in certain metrizable topological vector spaces
Nawab Hussain1
and Vasile Berinde2
1Centre for Advanced Studies in Pure Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
2Department of Mathematics and Computer Science, Faculty of Sciences, North University of Baia Mare, Victoriei Nr. 76, Baia Mare 430122, Romania
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.