Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces

Recently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2012; no. 2012; pp. 504 - 514-533
Main Author Wang, Shuang
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Banach space
Banach spaces
Computation
Fixed points (mathematics)
Inequalities
Inequality
Mapping
Mathematical models
Nonlinearity
Studies
Online AccessGet full text
ISSN1110-757X
1687-0042
1687-0042
DOI10.1155/2012/658905

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Summary:Recently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve the same system of nonlinear variational inequalities.
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ISSN:1110-757X
1687-0042
1687-0042
DOI:10.1155/2012/658905