Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces

Murat Ozdemir, Sezgin Akbulut and Hukmi Kiziltunc

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-19

Abstract:

We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corresponding results of Chidume et al. (2003), Wang (2006), Shahzad (2005), and Thianwan (2008).

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:307245

DOI: 10.1155/2010/307245

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