Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces
Abstract In this paper, we derive some common α-fuzzy fixed point results for fuzzy mappings under generalized almost F $\mathcal{\mathbf{F}}$ -contractions in the context of a controlled metric space, which generalize many preexisting results in the literature. As an application, we establish some...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03598-0 |
| _version_ | 1798035157078245376 |
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| author | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba |
| author_facet | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba |
| author_sort | Nayab Alamgir |
| collection | DOAJ |
| description | Abstract In this paper, we derive some common α-fuzzy fixed point results for fuzzy mappings under generalized almost F $\mathcal{\mathbf{F}}$ -contractions in the context of a controlled metric space, which generalize many preexisting results in the literature. As an application, we establish some multivalued fixed point results. For justification of our results, we provide a nontrivial example. |
| first_indexed | 2024-04-11T20:54:18Z |
| format | Article |
| id | doaj.art-08113174ac3747af82304adaa69fc064 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-11T20:54:18Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-08113174ac3747af82304adaa69fc0642022-12-22T04:03:44ZengSpringerOpenAdvances in Difference Equations1687-18472021-10-012021111410.1186/s13662-021-03598-0Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spacesNayab Alamgir0Quanita Kiran1Hassen Aydi2Yaé Ulrich Gaba3School of Natural Sciences, National University of Sciences and Technology (NUST)School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST)Institut Supérieur d’Informatique et des Techniques de Communication, Université de SousseQuantum Leap Africa (QLA), AIMS Rwanda CentreAbstract In this paper, we derive some common α-fuzzy fixed point results for fuzzy mappings under generalized almost F $\mathcal{\mathbf{F}}$ -contractions in the context of a controlled metric space, which generalize many preexisting results in the literature. As an application, we establish some multivalued fixed point results. For justification of our results, we provide a nontrivial example.https://doi.org/10.1186/s13662-021-03598-0α-fuzzy fixed pointsGeneralized almost F $\mathbb{F}$ -contractionControlled metric space |
| spellingShingle | Nayab Alamgir Quanita Kiran Hassen Aydi Yaé Ulrich Gaba Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces Advances in Difference Equations α-fuzzy fixed points Generalized almost F $\mathbb{F}$ -contraction Controlled metric space |
| title | Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces |
| title_full | Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces |
| title_fullStr | Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces |
| title_full_unstemmed | Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces |
| title_short | Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces |
| title_sort | fuzzy fixed point results of generalized almost f mathcal mathbf f contractions in controlled metric spaces |
| topic | α-fuzzy fixed points Generalized almost F $\mathbb{F}$ -contraction Controlled metric space |
| url | https://doi.org/10.1186/s13662-021-03598-0 |
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