Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces

Yali Li, Jianjun Liu and Lei Deng

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-10

Abstract:

Let be a nonempty closed convex subset of a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, a generalized asymptotically nonexpansive self-mapping semigroup of , and a fixed contractive mapping with contractive coefficient . We prove that the following implicit and modified implicit viscosity iterative schemes defined by and strongly converge to as and is the unique solution to the following variational inequality: for all .

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:687815

DOI: 10.1155/2008/687815

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