Some convergence theorems for mappings of asymptotically quasi-nonexpansive type in Banach spaces.

The purpose of this paper is to study the necessary and sufficient conditions for the sequences of Ishikawa iterative sequences with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper extend and improve the corresponding results of [1–4, 7–9]. [ABSTRACT FROM AUTHOR]