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Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences

Abstract

The purpose of this paper is to study sufficient and necessary conditions for finite-step iterative sequences with mean errors for a finite family of asymptotically quasi-nonexpansive and type mappings in Banach spaces to converge to a common fixed point. The results presented in this paper improve and extend the recent ones announced by Ghost-Debnath, Liu, Xu and Noor, Chang, Shahzad et al., Shahzad and Udomene, Chidume et al., and all the others.

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Correspondence to Jing Quan.

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Quan, J., Chang, SS. & Long, X.J. Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences. Fixed Point Theory Appl 2006, 70830 (2006). https://doi.org/10.1155/FPTA/2006/70830

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  • DOI: https://doi.org/10.1155/FPTA/2006/70830

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