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

preprint2010arXivOpen access

Abstract

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 {Tj}i=1N\{T_j\}_{i=1}^N of asymptotically quasi Ij−I_j-nonexpansive mappings as well as a family of {Ij}j=1N\{I_j\}_{j=1}^N of asymptotically quasi nonexpansive mappings in the framework of Banach spaces.

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