Proximal point algorithms for solving convex minimization problem and common fixed points problem of asymptotically quasi-nonexpansive mappings in CAT(0) spaces with convergence analysis
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Author list: Pakkaranang N., Kumam P., Cho Y.J.
Publisher: Springer New York LLC
Publication year: 2018
Volume number: 78
Issue number: 3
Start page: 827
End page: 845
Number of pages: 19
ISSN: 1017-1398
eISSN: 1017-1398
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce the modified proximal point algorithm for common fixed points of asymptotically quasi-nonexpansive mappings in CAT(0) spaces and also prove some convergence theorems of the proposed algorithm to a common fixed point of asymptotically quasi-nonexpansive mappings and a minimizer of a convex function. The main results in this paper improve and generalize the corresponding results given by some authors. Moreover, we then give numerical examples to illustrate and show efficiency of the proposed algorithm for supporting our main results. ฉ 2017, Springer Science+Business Media, LLC.
Keywords
Asymptotically quasi-nonexpansive mapping
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