Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces

Somyot Plubtieng and Rabian Wangkeeree

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X . Let T : C → C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover, we prove that if T is uniformly L -Lipschitzian and completely continuous, then the iterative scheme converges strongly to some fixed point of T .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:687803

DOI: 10.1155/IJMMS.2005.1685

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