A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem
Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities....
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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/10.1155/2022/7078707 |
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| _version_ | 1832554774430482432 |
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| author | Muhammad Bux Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh |
| author_facet | Muhammad Bux Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh |
| author_sort | Muhammad Bux |
| collection | DOAJ |
| description | Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities. Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. The numerical interpretation provided a significant boost to the results. |
| format | Article |
| id | doaj-art-077aea2da1cc4fd6ace5725c61a58b4a |
| 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-077aea2da1cc4fd6ace5725c61a58b4a2025-02-03T05:50:31ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7078707A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the ProblemMuhammad Bux0Saleem Ullah1Muhammad Shoaib Arif2Kamaleldin Abodayeh3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and SciencesVariational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities. Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. The numerical interpretation provided a significant boost to the results.http://dx.doi.org/10.1155/2022/7078707 |
| spellingShingle | Muhammad Bux Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem Journal of Function Spaces |
| title | A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem |
| title_full | A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem |
| title_fullStr | A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem |
| title_full_unstemmed | A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem |
| title_short | A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem |
| title_sort | self adaptive technique for solving variational inequalities a new approach to the problem |
| url | http://dx.doi.org/10.1155/2022/7078707 |
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