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The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces

Authors :
Guiwen Lv
Zhiqun Xue
Source :
Journal of Applied Mathematics, Vol 2012 (2012)
Publication Year :
2012
Publisher :
Wiley, 2012.

Abstract

We prove the equivalence of the convergence of the Mann and Ishikawa iterations with errors for uniformly continuous generalized Φ-pseudocontractive mappings in normed linear spaces. Our results extend and improve the corresponding results of Xu, 1998, Kim et al., 2009, Ofoedu, 2006, Chidume and Zegeye, 2004, Chidume, 2001, Chang et al. 2002, Liu, 1995, Hirano and huang, 2003, C. E. Chidume and C. O. Chidume, 2005, and huang, 2007.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
1110757X and 16870042
Volume :
2012
Database :
Directory of Open Access Journals
Journal :
Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.703debb5181b49289f91d56fdacd5ea1
Document Type :
article
Full Text :
https://doi.org/10.1155/2012/395098