Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs

© 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simult...

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Bibliographic Details
Main Authors: Suthep Suantai, Mana Donganont, Watcharaporn Cholamjiak
Format: Journal
Published: 2020
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900
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Institution: Chiang Mai University
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Summary:© 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.