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.
Best approximation, common fixed point, R-subweakly commuting map, weakly compact set, Banach space.
MSC 2000: 41A50, 47H10