On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces

In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.

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Bibliographic Details
Published inJournal of function spaces Vol. 2015; no. 2015; pp. 1 - 9
Main Authors Hussain, Nawab, Alamri, Badriah A. S., Marino, Giuseppe
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
Hindawi Limited
Subjects
Algorithms
Approximation
Function space
Hilbert space
Inequalities
Inequality
Mapping
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Summary:In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.
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ISSN:2314-8896
2314-8888
DOI:10.1155/2015/671983