ON THE CONVERGENCE THEOREMS OF AN IMPLICIT ITERATION PROCESS FOR ASYMPTOTICALLY QUASI I-NONEXPANSIVE MAPPINGS

In this paper, we establish an implicit iterative process for convergence to a common fixed point of two asymptotically quasi I-nonexpansive mappings in Banach spaces, and prove weak and strong convergence of this process to a common fixed point of such mappings. Our results improve and extend corresponding results of [7, 10, 14, 18] to two asymptotically quasi I-nonexpansive mappings.