A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem

In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the pro...

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Main Authors: Prasit Cholamjiak, Watcharaporn Cholamjiak, Suthep Suantai
格式: 雜誌
出版: 2018
在線閱讀:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877103827&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47924
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總結:In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the proposed iterative scheme are established by using the concept of W-mappings of a countable family of uniformly Lip-schitzian generalized asymptotically quasi-nonexpansive mappings. © 2013 The Korean Mathematical Society.