Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings
This article is aimed at introducing an iterative scheme to approximate the common solution of split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings. It is proven that under some suitable assumptions, the sequences achieved by the proposed iterative sc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3567648 |
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| author | M. Dilshad A. F. Aljohani M. Akram |
| author_facet | M. Dilshad A. F. Aljohani M. Akram |
| author_sort | M. Dilshad |
| collection | DOAJ |
| description | This article is aimed at introducing an iterative scheme to approximate the common solution of split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings. It is proven that under some suitable assumptions, the sequences achieved by the proposed iterative scheme converge strongly to a common element of the solution sets of these problems. Some consequences of the main theorem are also given. Finally, the convergence analysis of the sequences achieved from the iterative scheme is illustrated with the help of a numerical example. |
| format | Article |
| id | doaj-art-4edb77d4623f4908a33d124ebf55eb17 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4edb77d4623f4908a33d124ebf55eb172025-02-03T06:00:49ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/35676483567648Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive MappingsM. Dilshad0A. F. Aljohani1M. Akram2Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi ArabiaThis article is aimed at introducing an iterative scheme to approximate the common solution of split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings. It is proven that under some suitable assumptions, the sequences achieved by the proposed iterative scheme converge strongly to a common element of the solution sets of these problems. Some consequences of the main theorem are also given. Finally, the convergence analysis of the sequences achieved from the iterative scheme is illustrated with the help of a numerical example.http://dx.doi.org/10.1155/2020/3567648 |
| spellingShingle | M. Dilshad A. F. Aljohani M. Akram Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings Journal of Function Spaces |
| title | Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings |
| title_full | Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings |
| title_fullStr | Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings |
| title_full_unstemmed | Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings |
| title_short | Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings |
| title_sort | iterative scheme for split variational inclusion and a fixed point problem of a finite collection of nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2020/3567648 |
| work_keys_str_mv | AT mdilshad iterativeschemeforsplitvariationalinclusionandafixedpointproblemofafinitecollectionofnonexpansivemappings AT afaljohani iterativeschemeforsplitvariationalinclusionandafixedpointproblemofafinitecollectionofnonexpansivemappings AT makram iterativeschemeforsplitvariationalinclusionandafixedpointproblemofafinitecollectionofnonexpansivemappings |