Split common fixed point problems for demicontractive operators
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Publication Details
Author list: Padcharoen A., Kumam P., Cho Y.J.
Publisher: Springer New York LLC
Publication year: 2019
Volume number: 82
Issue number: 1
Start page: 297
End page: 320
Number of pages: 24
ISSN: 1017-1398
eISSN: 1017-1398
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, first, we introduce a new iterative algorithm involving demicontractive mappings in Hilbert spaces and, second, we prove some strong convergence theorems of the proposed method with the Armijo-line search to show the existence of a solution of the split common fixed point problem. Finally, we give some numerical examples to illustrate our main results. ฉ 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
Demicontractive mapping, Split variational inequality
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