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Some convergence results using K* iteration process in CAT (0) spaces

Authors
Ullah, KifayatShin, Dong YunPark, ChoonkilKhan, Bakhat Ayaz
Issue Date
Apr-2021
Publisher
Kluwer Academic Publishers
Keywords
Suzuki generalized nonexpansive mapping; CAT(0) space; K∗ iterative process; ∆-convergence; strong convergence
Citation
Journal of Computational Analysis and Applications, v.29, no.4, pp 668 - 681
Pages
14
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
29
Number
4
Start Page
668
End Page
681
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142127
ISSN
1521-1398
1572-9206
Abstract
In this paper, some strong and ?-convergence results for Suzuki generalized nonexpansive mappings in the setting of complete CAT (0) spaces are proved. We are using newly introduced K* iteration process for approximation of fixed point. We also give an example to show the efficiency of the K* iteration process. Our results are extension, improvement and generalization of many well known results in the literature of fixed point theory in CAT (0) spaces. ? 2021 EUDOXUS PRESS, LLC.
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