Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings in CAT(0) spaces with numerical examples

In this manuscript, we investigate and approximate common fixed points of two nonself asymptotically nonexpansive mappings in the setting of CAT(0) spaces. We provide three examples and conduct numerical experiments to show the implementation of the approximation schemes. Our results extend and impr...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-08, Vol.46 (12), p.13521-13539
Main Authors: Kratuloek, Kanokwan, Kumam, Poom, Amnuaykarn, Kittisak, Nantadilok, Jamnian, Salisu, Sani
Format: Article
Language:English
Subjects:
Approximation
Asymptotic properties
asymptotically nonexpansive mappings
Banach spaces
CAT spaces
fixed points
hyperpolic spaces
iteration
Iterative methods
Mathematical analysis
retractions
uniformly L$$ L $$‐Lipschitzian mappings
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Summary:In this manuscript, we investigate and approximate common fixed points of two nonself asymptotically nonexpansive mappings in the setting of CAT(0) spaces. We provide three examples and conduct numerical experiments to show the implementation of the approximation schemes. Our results extend and improve the related results in the literature.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9269