Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings
In this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for fuzzy mapping known as extended perturbed fuzzy mixed variational-like inequalities (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs” are also attained. We have also st...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6652930 |
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| _version_ | 1832566001987747840 |
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| author | Muhammad Bilal Khan Muhammad Aslam Noor Khalida Inayat Noor Ahmad Termimi Ab Ghani Lazim Abdullah |
| author_facet | Muhammad Bilal Khan Muhammad Aslam Noor Khalida Inayat Noor Ahmad Termimi Ab Ghani Lazim Abdullah |
| author_sort | Muhammad Bilal Khan |
| collection | DOAJ |
| description | In this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for fuzzy mapping known as extended perturbed fuzzy mixed variational-like inequalities (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs” are also attained. We have also studied the auxiliary principle technique of auxiliary “EPFMVLI” for “EPFMVLI.” By using this technique and some new analytic results, some existence results and efficient numerical techniques of “EPFMVLI” are established. Some advanced and innovative iterative algorithms are also obtained, and the convergence criterion of iterative sequences generated by algorithms is also proven. In the end, some new and previously known existence results and algorithms are also studied. Results secured in this paper can be regarded as purification and development of previously familiar results. |
| format | Article |
| id | doaj-art-75c30027a308421796de2bac11013cd1 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-75c30027a308421796de2bac11013cd12025-02-03T01:05:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66529306652930Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy MappingsMuhammad Bilal Khan0Muhammad Aslam Noor1Khalida Inayat Noor2Ahmad Termimi Ab Ghani3Lazim Abdullah4Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad, PakistanManagement Science Research Group, Faculty of Ocean Engineering Technology and Informatics, University Malaysia Terengganu, Terengganu, MalaysiaManagement Science Research Group, Faculty of Ocean Engineering Technology and Informatics, University Malaysia Terengganu, Terengganu, MalaysiaIn this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for fuzzy mapping known as extended perturbed fuzzy mixed variational-like inequalities (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs” are also attained. We have also studied the auxiliary principle technique of auxiliary “EPFMVLI” for “EPFMVLI.” By using this technique and some new analytic results, some existence results and efficient numerical techniques of “EPFMVLI” are established. Some advanced and innovative iterative algorithms are also obtained, and the convergence criterion of iterative sequences generated by algorithms is also proven. In the end, some new and previously known existence results and algorithms are also studied. Results secured in this paper can be regarded as purification and development of previously familiar results.http://dx.doi.org/10.1155/2021/6652930 |
| spellingShingle | Muhammad Bilal Khan Muhammad Aslam Noor Khalida Inayat Noor Ahmad Termimi Ab Ghani Lazim Abdullah Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings Journal of Mathematics |
| title | Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings |
| title_full | Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings |
| title_fullStr | Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings |
| title_full_unstemmed | Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings |
| title_short | Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings |
| title_sort | extended perturbed mixed variational like inequalities for fuzzy mappings |
| url | http://dx.doi.org/10.1155/2021/6652930 |
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