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arxiv: 1010.3089 · v1 · pith:OBI64YAKnew · submitted 2010-10-15 · 🧮 math.FA · math.CA· math.NA

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

classification 🧮 math.FA math.CAmath.NA
keywords asymptoticallyfamilymappingsnonexpansivequasibanachconvergenceerrors
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In this paper we prove the weak and strong convergence of the implicit iterative 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 well as a family of $\{I_j\}_{j=1}^N$ of asymptotically quasi nonexpansive mappings in the framework of Banach spaces.

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