Abstract
We extend the main results of Aamri and El Moutawakil and Pant to the weakly compatible or
R
-weakly commuting pair (
T, f
) of maps, where
T
is multivalued. As applications, common fixed point theorems are obtained for new class of maps called
R
-subcommuting maps in the setup of locally convex topological vector spaces. We also study some results on best approximation via common fixed point theorems.
2000 MSC
41A65; 46A03; 47H10; 54H25.