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In this paper we prove the weak and strong convergence of the implicititerative process with errors to a common fixed point of a finite family$\{T_j\}_{i=1}^N$ of asymptotically quasi $I_j-$nonexpansive mappings as wellas a family of $\{I_j\}_{j=1}^N$ of asymptotically quasi nonexpansive mappingsin the framework of Banach spaces.

Weak and strong convergence of an implicit iterative process with errors  for a finite family of asymptotically quasi $I-$nonexpansive mappings in  Banach space