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: | , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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. |
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