Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces
The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler's type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023515?viewType=HTML |
| _version_ | 1811157927878197248 |
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| author | Shazia Kanwal Abdullah Al Mazrooei Gustavo Santos-Garcia Muhammad Gulzar |
| author_facet | Shazia Kanwal Abdullah Al Mazrooei Gustavo Santos-Garcia Muhammad Gulzar |
| author_sort | Shazia Kanwal |
| collection | DOAJ |
| description | The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler's type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature. |
| first_indexed | 2024-04-10T05:15:44Z |
| format | Article |
| id | doaj.art-41426bac26c24600802c0a9dc52ecd40 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T05:15:44Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-41426bac26c24600802c0a9dc52ecd402023-03-09T01:30:14ZengAIMS PressAIMS Mathematics2473-69882023-02-0185101771019510.3934/math.2023515Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spacesShazia Kanwal0Abdullah Al Mazrooei1Gustavo Santos-Garcia2Muhammad Gulzar 31. Department of Mathematics, Government College University Faisalabad, Pakistan2. Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 80203, Saudi Arabia3. IME, Universidad de Salamanca, Spain1. Department of Mathematics, Government College University Faisalabad, PakistanThe main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler's type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.https://www.aimspress.com/article/doi/10.3934/math.2023515?viewType=HTMLnadler's contractionfuzzy setsfuzzy fixed pointfuzzy mappinghausdorff metric space |
| spellingShingle | Shazia Kanwal Abdullah Al Mazrooei Gustavo Santos-Garcia Muhammad Gulzar Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces AIMS Mathematics nadler's contraction fuzzy sets fuzzy fixed point fuzzy mapping hausdorff metric space |
| title | Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces |
| title_full | Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces |
| title_fullStr | Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces |
| title_full_unstemmed | Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces |
| title_short | Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces |
| title_sort | some fixed point results for fuzzy generalizations of nadler s contraction in b metric spaces |
| topic | nadler's contraction fuzzy sets fuzzy fixed point fuzzy mapping hausdorff metric space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023515?viewType=HTML |
| work_keys_str_mv | AT shaziakanwal somefixedpointresultsforfuzzygeneralizationsofnadlerscontractioninbmetricspaces AT abdullahalmazrooei somefixedpointresultsforfuzzygeneralizationsofnadlerscontractioninbmetricspaces AT gustavosantosgarcia somefixedpointresultsforfuzzygeneralizationsofnadlerscontractioninbmetricspaces AT muhammadgulzar somefixedpointresultsforfuzzygeneralizationsofnadlerscontractioninbmetricspaces |