Naseer Shahzad

On R-Subweakly Commuting Maps and Invariant Approximations in Banach Spaces

Abstract:
The paper discusses a new class of noncommuting maps called R-subweakly commuting maps. The existence of invariant approximations for this class of maps is established. Our results extend, generalize, and improve some known results existing in the literature.

Keywords:
Best approximation, common fixed point, R-subweakly commuting map, weakly compact set, Banach space.

MSC 2000: 41A50, 47H10