A general iterative method for a nonexpansive semigroup in banach spaces with gauge functions

We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping J , where is a gauge function on [ 0,∞). Our results improve and extend those announced by...

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Bibliographic Details
Main Authors: Nammanee K., Suantai S., Cholamjiak P.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84861047516&partnerID=40&md5=2b90093b9ef4f696ced5be8e62c9ba31
http://cmuir.cmu.ac.th/handle/6653943832/6657
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Institution: Chiang Mai University
Language: English
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Summary:We study strong convergence of the sequence generated by implicit and explicit general iterative methods for a one-parameter nonexpansive semigroup in a reflexive Banach space which admits the duality mapping J , where is a gauge function on [ 0,∞). Our results improve and extend those announced by G. Marino and H.-K. Xu (2006) and many authors. Copyright © 2012 Kamonrat Nammanee et al.