A New Iterative Algorithm for General Variational Inequality Problem with Applications
This study aims at investigation of a generalized variational inequality problem. We initiate a new iterative algorithm and examine its convergence analysis. Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7618683 |
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| _version_ | 1832565439534727168 |
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| author | Aysha Khan M. Akram M. Dilshad J. Shafi |
| author_facet | Aysha Khan M. Akram M. Dilshad J. Shafi |
| author_sort | Aysha Khan |
| collection | DOAJ |
| description | This study aims at investigation of a generalized variational inequality problem. We initiate a new iterative algorithm and examine its convergence analysis. Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of a nonexpansive mapping. A numerical example is illustrated to verify our existence result. Further, we demonstrate that the considered iterative algorithm converges with faster rate than normal S-iterative scheme. Furthermore, we apply our proposed iterative algorithm to estimate the solution of a convex minimization problem and a split feasibility problem. |
| format | Article |
| id | doaj-art-3b08429717e746f38d03b91dfd706555 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3b08429717e746f38d03b91dfd7065552025-02-03T01:07:45ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7618683A New Iterative Algorithm for General Variational Inequality Problem with ApplicationsAysha Khan0M. Akram1M. Dilshad2J. Shafi3Department of MathematicsDepartment of MathematicsComputational & Analytical Mathematics and Their Applications Research GroupDepartment of Computer ScienceThis study aims at investigation of a generalized variational inequality problem. We initiate a new iterative algorithm and examine its convergence analysis. Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of a nonexpansive mapping. A numerical example is illustrated to verify our existence result. Further, we demonstrate that the considered iterative algorithm converges with faster rate than normal S-iterative scheme. Furthermore, we apply our proposed iterative algorithm to estimate the solution of a convex minimization problem and a split feasibility problem.http://dx.doi.org/10.1155/2022/7618683 |
| spellingShingle | Aysha Khan M. Akram M. Dilshad J. Shafi A New Iterative Algorithm for General Variational Inequality Problem with Applications Journal of Function Spaces |
| title | A New Iterative Algorithm for General Variational Inequality Problem with Applications |
| title_full | A New Iterative Algorithm for General Variational Inequality Problem with Applications |
| title_fullStr | A New Iterative Algorithm for General Variational Inequality Problem with Applications |
| title_full_unstemmed | A New Iterative Algorithm for General Variational Inequality Problem with Applications |
| title_short | A New Iterative Algorithm for General Variational Inequality Problem with Applications |
| title_sort | new iterative algorithm for general variational inequality problem with applications |
| url | http://dx.doi.org/10.1155/2022/7618683 |
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