An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems
Abstract In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpansive mapping in a real Hilbert space. Moreover, we propose the mathematical tools r...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02908-8 |
| _version_ | 1797958419281346560 |
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| author | Wongvisarut Khuangsatung Atid Kangtunyakarn |
| author_facet | Wongvisarut Khuangsatung Atid Kangtunyakarn |
| author_sort | Wongvisarut Khuangsatung |
| collection | DOAJ |
| description | Abstract In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpansive mapping in a real Hilbert space. Moreover, we propose the mathematical tools related to the combination of mixed variational inequality problems in the second section of this paper. Utilizing our mathematical tools, a strong convergence theorem is established for the proposed algorithm. Furthermore, we establish additional conclusions concerning the split-feasibility problem and the constrained convex-minimization problem utilizing our main result. Finally, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm. |
| first_indexed | 2024-04-11T00:19:48Z |
| format | Article |
| id | doaj.art-8158d5f13d89495d9abce62e920dee5a |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-11T00:19:48Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-8158d5f13d89495d9abce62e920dee5a2023-01-08T12:23:22ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-01-012023113010.1186/s13660-022-02908-8An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problemsWongvisarut Khuangsatung0Atid Kangtunyakarn1Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology ThanyaburiKing Mongkut’s Institute of Technology LadkrabangAbstract In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpansive mapping in a real Hilbert space. Moreover, we propose the mathematical tools related to the combination of mixed variational inequality problems in the second section of this paper. Utilizing our mathematical tools, a strong convergence theorem is established for the proposed algorithm. Furthermore, we establish additional conclusions concerning the split-feasibility problem and the constrained convex-minimization problem utilizing our main result. Finally, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm.https://doi.org/10.1186/s13660-022-02908-8Mixed variational inequality problemsIntermixed algorithmStrong convergence |
| spellingShingle | Wongvisarut Khuangsatung Atid Kangtunyakarn An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems Journal of Inequalities and Applications Mixed variational inequality problems Intermixed algorithm Strong convergence |
| title | An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems |
| title_full | An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems |
| title_fullStr | An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems |
| title_full_unstemmed | An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems |
| title_short | An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems |
| title_sort | intermixed method for solving the combination of mixed variational inequality problems and fixed point problems |
| topic | Mixed variational inequality problems Intermixed algorithm Strong convergence |
| url | https://doi.org/10.1186/s13660-022-02908-8 |
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