FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES
In the structure of a parametric metric space accompanied by directed graph, we introduce the idea of fuzzy multivalued 𝐹 -contractive mappings. Results related to the existence of common fuzzy fixed points are introduced. The proved results are supported by an example. Our results bring together, s...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2024-07-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15870&lang=en |
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| author | M. Rafique T. Nazir H. Kalita |
| author_facet | M. Rafique T. Nazir H. Kalita |
| author_sort | M. Rafique |
| collection | DOAJ |
| description | In the structure of a parametric metric space accompanied by directed graph, we introduce the idea of fuzzy multivalued 𝐹 -contractive mappings. Results related to the existence of common fuzzy fixed points are introduced. The proved results are supported by an example. Our results bring together, sum up, and
supplement different familiar related results in the literature. We hope that the acclaimed results in our work will encourage new analysis aspects in fixed-point theory and parallel hybrid models in the literature of fuzzy mathematics supplemented with a graph. |
| format | Article |
| id | doaj-art-223503ae8ffd4e65984b30904df67ebe |
| institution | Kabale University |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-223503ae8ffd4e65984b30904df67ebe2025-01-28T11:00:00ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-07-0113 (31)37910010.15393/j3.art.2024.15870FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACESM. Rafique0 T. Nazir1 H. Kalita2Department of Mathematics, COMSATS University Islamabad,Department of Mathematical Sciences, University of South AfricaHemanta Kalita Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal UniversityIn the structure of a parametric metric space accompanied by directed graph, we introduce the idea of fuzzy multivalued 𝐹 -contractive mappings. Results related to the existence of common fuzzy fixed points are introduced. The proved results are supported by an example. Our results bring together, sum up, and supplement different familiar related results in the literature. We hope that the acclaimed results in our work will encourage new analysis aspects in fixed-point theory and parallel hybrid models in the literature of fuzzy mathematics supplemented with a graph.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15870&lang=en𝐹 -contractionfuzzy setfuzzy multivalued mappingfuzzy fixed point |
| spellingShingle | M. Rafique T. Nazir H. Kalita FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES Проблемы анализа 𝐹 -contraction fuzzy set fuzzy multivalued mapping fuzzy fixed point |
| title | FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES |
| title_full | FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES |
| title_fullStr | FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES |
| title_full_unstemmed | FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES |
| title_short | FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES |
| title_sort | fixed points of fuzzy multivalued 𝐹 contractive mappings with a directed graph in parametric metric spaces |
| topic | 𝐹 -contraction fuzzy set fuzzy multivalued mapping fuzzy fixed point |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15870&lang=en |
| work_keys_str_mv | AT mrafique fixedpointsoffuzzymultivaluedfcontractivemappingswithadirectedgraphinparametricmetricspaces AT tnazir fixedpointsoffuzzymultivaluedfcontractivemappingswithadirectedgraphinparametricmetricspaces AT hkalita fixedpointsoffuzzymultivaluedfcontractivemappingswithadirectedgraphinparametricmetricspaces |