A novel iterative approach for resolving generalized variational inequalities
For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent. The fixed point formulation is used to formulate the explicit and implicit schemes. The gene...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023547?viewType=HTML |
| _version_ | 1827986564505927680 |
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| author | Muhammad Bux Saleem Ullah Muhammad Bilal Khan Najila Aloraini |
| author_facet | Muhammad Bux Saleem Ullah Muhammad Bilal Khan Najila Aloraini |
| author_sort | Muhammad Bux |
| collection | DOAJ |
| description | For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent. The fixed point formulation is used to formulate the explicit and implicit schemes. The general variational inequalities are the basis for the new algorithms. The newly developed algorithm is demonstrated numerically. For figuring out general variational inequalities, these new methods are innovative. Additionally, the convergence analysis is provided under certain favorable conditions. |
| first_indexed | 2024-04-09T23:33:22Z |
| format | Article |
| id | doaj.art-c51d074bd800407eadfbef717d2e15cb |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T23:33:22Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c51d074bd800407eadfbef717d2e15cb2023-03-21T01:31:54ZengAIMS PressAIMS Mathematics2473-69882023-03-0185107881080110.3934/math.2023547A novel iterative approach for resolving generalized variational inequalitiesMuhammad Bux 0Saleem Ullah 1Muhammad Bilal Khan 2Najila Aloraini 31. Department of Mathematics, Air University, Islamabad, Pakistan1. Department of Mathematics, Air University, Islamabad, Pakistan2. Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan3. Department of Mathematics, College of Science and Arts Onaizah, Qassim University, P.O. Box: 6640-Buraydah 51452, Saudi ArabiaFor figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent. The fixed point formulation is used to formulate the explicit and implicit schemes. The general variational inequalities are the basis for the new algorithms. The newly developed algorithm is demonstrated numerically. For figuring out general variational inequalities, these new methods are innovative. Additionally, the convergence analysis is provided under certain favorable conditions.https://www.aimspress.com/article/doi/10.3934/math.2023547?viewType=HTMLgeneral variational inequalitiesiterative methodsfixed point problemconvergence criteriaprojection iterative process |
| spellingShingle | Muhammad Bux Saleem Ullah Muhammad Bilal Khan Najila Aloraini A novel iterative approach for resolving generalized variational inequalities AIMS Mathematics general variational inequalities iterative methods fixed point problem convergence criteria projection iterative process |
| title | A novel iterative approach for resolving generalized variational inequalities |
| title_full | A novel iterative approach for resolving generalized variational inequalities |
| title_fullStr | A novel iterative approach for resolving generalized variational inequalities |
| title_full_unstemmed | A novel iterative approach for resolving generalized variational inequalities |
| title_short | A novel iterative approach for resolving generalized variational inequalities |
| title_sort | novel iterative approach for resolving generalized variational inequalities |
| topic | general variational inequalities iterative methods fixed point problem convergence criteria projection iterative process |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023547?viewType=HTML |
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