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Journal of Inequalities and Applications
Erschienen in: Journal of Inequalities and Applications 1/2010

Open Access 01.12.2010 | Research Article

Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi- https://static-content.springer.com/image/art%3A10.1155%2F2010%2F101690/MediaObjects/13660_2009_Article_2049_IEq1_HTML.gif -Nonexpansive Mapping and Relatively Nonexpansive Mapping

verfasst von: Min Liu, Shih-Sen Chang, Ping Zuo

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2010

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Abstract

We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi- https://static-content.springer.com/image/art%3A10.1155%2F2010%2F101690/MediaObjects/13660_2009_Article_2049_IEq2_HTML.gif -nonexpansive mapping in a Banach space by using the shrinking Projection method. Our results improve the main results in S. Takahashi and W. Takahashi (2008) and Takahashi and Zembayashi (2008). Moreover, the method of proof adopted in the paper is different from that of S. Takahashi and W. Zembayashi (2008).
Nächster Artikel Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem

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Metadaten
Titel
Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi--Nonexpansive Mapping and Relatively Nonexpansive Mapping
verfasst von
Min Liu
Shih-Sen Chang
Ping Zuo
Publikationsdatum
01.12.2010
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2010
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/2010/101690

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