Convergence analysis of a general iterative algorithm for finding a common solution of split variational inclusion and optimization problems
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Author list: Sitthithakerngkiet K., Deepho J., Martํnez-Moreno J., Kumam P.
Publisher: Springer New York LLC
Publication year: 2018
Volume number: 79
Issue number: 3
Start page: 801
End page: 824
Number of pages: 24
ISSN: 1017-1398
eISSN: 1017-1398
Languages: English-Great Britain (EN-GB)
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Abstract
The purpose of this paper is to introduce a general iterative method for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of split variational inclusion problem in the framework Hilbert spaces. Strong convergence theorem of the sequences generated by the purpose iterative scheme is obtained. In the last section, we present some computational examples to illustrate the assumptions of the proposed algorithms. ฉ 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
Convex minimization problems, Fixed-point problem
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