The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs

© 2020, Springer Nature Switzerland AG. Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditi...

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Bibliographic Details
Main Author: Bancha Panyanak
Format: Journal
Published: 2020
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091751783&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70690
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Institution: Chiang Mai University
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Summary:© 2020, Springer Nature Switzerland AG. Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditions for the existence of solutions of the variational inequality problem in this setting. Our results generalize and improve many results in the literature.