Fixed point theorems for some generalized multi-valued nonexpansive mappings in Hadamard spaces

© 2019 by the Mathematical Association of Thailand. All rights reserved. We show that a condition on mappings introduced by Bunlue and Suantai is weaker than the notion of nonexpansive mappings and stronger than the notion of quasi-nonexpansive mappings. We also obtain the demiclosed principle as we...

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Main Authors: Chayanit Klangpraphan, Bancha Panyanak
格式: 雜誌
出版: 2020
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在線閱讀:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073343192&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67903
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總結:© 2019 by the Mathematical Association of Thailand. All rights reserved. We show that a condition on mappings introduced by Bunlue and Suantai is weaker than the notion of nonexpansive mappings and stronger than the notion of quasi-nonexpansive mappings. We also obtain the demiclosed principle as well as a fixed point theorem for the class of mappings satisfying this condition. A convergence theorem of the Ishikawa iteration for discontinuous quasi-nonexpansive mappings is also given.