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Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
Journal article   Peer reviewed

Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

Abdul Rahim Khan, Abdul-Aziz Domlo and Hafiz Fukhar-ud-din
Journal of mathematical analysis and applications, Vol.341(1), pp.1-11
01/05/2008
DOI: https://doi.org/10.1016/j.jmaa.2007.06.051

Abstract

Asymptotically quasi-nonexpansive mapping Banach space Common fixed point Modified Mann and Ishikawa iterations Weak and strong convergence
In this paper, we introduce a general iteration scheme for a finite family of asymptotically quasi-nonexpansive mappings. The new iterative scheme includes the modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor and Khan and Takahashi scheme as special cases. Our results are generalizations as well as refinement of several known results in the current literature.

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