Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space

Lili He, Lei Deng and Jianjun Liu

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-9

Abstract:

Let be a nonempty closed and convex subset of a Hilbert space , let and be two commutative generalized asymptotically nonexpansive mappings. We introduce an implicit iteration process of and defined by , and then prove that converges strongly to a common fixed point of and . The results generalize and unify the corresponding results.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:649510

DOI: 10.1155/2008/649510

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