Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Hafiz Fukhar-Ud-Din and Abdul Rahim Khan

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-11

Abstract:

We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:128231

DOI: 10.1155/IJMMS.2005.1643

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