... invariant under T, f and g,T, f and T, g are Banach operator pairs on centK{y1,y2}, Ff and Fg are q-starshapedwith q ∈ Ff ∩ Fg, f and g are continuous under weak and strong topologies, ... Chen and Li 5 introduced the class of Banach operator pairs, as a new class of noncommutingmaps and it has been further studied by Hussain 6,´Ciri´cetal.7, Khan and Akbar22, 23 and ... Chen and Li 5,Choetal.27,Khan and Akbar 22, 23, Pathak and Hussain 8,Schu28 and Vijayraju 2 are extendedto the class of asymptotically f-pseudocontraction maps.Fixed Point Theory and...