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

ON THE CONVERGENCE THEOREMS OFAN IMPLICIT ITERATION PROCESS FORASYMPTOTICALLY QUASII-NONEXPANSIVE MAPPINGS

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

Keywords:

Asymptotically quasi I-nonexpansive mappings, Common fixed point;, Uniformly convex Banach space 2000 AMS Classification: 47H09,

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