Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings

LIU Rui-juan; XIAO Xiang

doi:10.3969/j.issn.1009-444X.2009.02.020

Volume 23 Issue 2

Jun. 2009

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Article Navigation > Journal of Shanghai University of Engineering Science > 2009 > 23(2): 184-186

LIU Rui-juan, XIAO Xiang. Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 184-186. doi: 10.3969/j.issn.1009-444X.2009.02.020

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LIU Rui-juan, XIAO Xiang. Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 184-186. doi: 10.3969/j.issn.1009-444X.2009.02.020

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Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings

doi: 10.3969/j.issn.1009-444X.2009.02.020

Publish Date: 2009-06-30

Abstract

Abstract

This paper mainly shows that sufficient and necessary conditions of nonempty fixed points and suffi-cient and necessary conditions of the modified Ishikawa iteration sequences with errors converged to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space. The results presented also extended and improved some recent results.
- fixed point,
- asymptotically nonexpansive mappings,
- uniformly convex Banach space,
- Ishikawa it-erative sequences