Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions
In this study, we introduce new concepts of α−FZ-contraction and α−ψ−FZ-contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, a...
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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/10.1155/2021/6269304 |
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| author | Abdelhamid Moussaoui Nawab Hussain Said Melliani |
| author_facet | Abdelhamid Moussaoui Nawab Hussain Said Melliani |
| author_sort | Abdelhamid Moussaoui |
| collection | DOAJ |
| description | In this study, we introduce new concepts of α−FZ-contraction and α−ψ−FZ-contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature. |
| format | Article |
| id | doaj-art-0377d538af2f4c28a2d8b246e475064f |
| 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-0377d538af2f4c28a2d8b246e475064f2025-02-03T07:23:55ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/62693046269304Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control FunctionsAbdelhamid Moussaoui0Nawab Hussain1Said Melliani2Laboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaLaboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, MoroccoIn this study, we introduce new concepts of α−FZ-contraction and α−ψ−FZ-contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.http://dx.doi.org/10.1155/2021/6269304 |
| spellingShingle | Abdelhamid Moussaoui Nawab Hussain Said Melliani Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions Journal of Mathematics |
| title | Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions |
| title_full | Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions |
| title_fullStr | Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions |
| title_full_unstemmed | Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions |
| title_short | Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions |
| title_sort | global optimal solutions for proximal fuzzy contractions involving control functions |
| url | http://dx.doi.org/10.1155/2021/6269304 |
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