Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)

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The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings

Authors
Yuanheng Wang, Weiwei Sun
Corresponding Author
Yuanheng Wang
Available Online May 2014.
DOI
10.2991/iccia.2012.91How to use a DOI?
Keywords
uniformly asymptotically regular, asymptotically nonexpansive, uniformly differentiable norm, strong convergence, fixed point
Abstract

In a real Banach space E with a uniformly differentiable norm, we prove that a new iterative sequence converges strongly to a fixed point of an asymptotically nonexpansive mapping. The results in this paper improve and extend some recent results of other authors.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)
Series
Advances in Intelligent Systems Research
Publication Date
May 2014
ISBN
978-94-91216-41-1
ISSN
1951-6851
DOI
10.2991/iccia.2012.91How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Yuanheng Wang
AU  - Weiwei Sun
PY  - 2014/05
DA  - 2014/05
TI  - The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings
BT  - Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)
PB  - Atlantis Press
SP  - 376
EP  - 379
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccia.2012.91
DO  - 10.2991/iccia.2012.91
ID  - Wang2014/05
ER  -