L-Fuzzy fixed point results in ℱ -metric spaces with applications
Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of this generalized metric space. The o...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-01-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0206 |
| _version_ | 1797349298421104640 |
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| author | Lateef Durdana |
| author_facet | Lateef Durdana |
| author_sort | Lateef Durdana |
| collection | DOAJ |
| description | Jleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of this generalized metric space. The objective of this article is to use ℱ -metric space and establish some common fixed point theorems for (β\beta -ψ\psi )-contractions. Our results expand, generalize, and consolidate several known results in the literature. As applications of the main result, the solution for fuzzy initial-value problems in the background of a generalized Hukuhara derivative was discussed. |
| first_indexed | 2024-03-08T12:28:16Z |
| format | Article |
| id | doaj.art-55ebdef36df64be0bafa85b2e5445075 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-03-08T12:28:16Z |
| publishDate | 2024-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-55ebdef36df64be0bafa85b2e54450752024-01-22T07:04:18ZengDe GruyterDemonstratio Mathematica2391-46612024-01-0157113318110.1515/dema-2022-0206L-Fuzzy fixed point results in ℱ -metric spaces with applicationsLateef Durdana0Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawwara, Madina 41411, Saudi ArabiaJleli and Samet in [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 20 (2018), 128 (20 pages)] introduced the notion of ℱ -metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of this generalized metric space. The objective of this article is to use ℱ -metric space and establish some common fixed point theorems for (β\beta -ψ\psi )-contractions. Our results expand, generalize, and consolidate several known results in the literature. As applications of the main result, the solution for fuzzy initial-value problems in the background of a generalized Hukuhara derivative was discussed.https://doi.org/10.1515/dema-2022-0206ℱ-metric spacefixed pointβ-admissiblehukuhara derivative47h1054h2565q1065q30 |
| spellingShingle | Lateef Durdana L-Fuzzy fixed point results in ℱ -metric spaces with applications Demonstratio Mathematica ℱ-metric space fixed point β-admissible hukuhara derivative 47h10 54h25 65q10 65q30 |
| title | L-Fuzzy fixed point results in ℱ -metric spaces with applications |
| title_full | L-Fuzzy fixed point results in ℱ -metric spaces with applications |
| title_fullStr | L-Fuzzy fixed point results in ℱ -metric spaces with applications |
| title_full_unstemmed | L-Fuzzy fixed point results in ℱ -metric spaces with applications |
| title_short | L-Fuzzy fixed point results in ℱ -metric spaces with applications |
| title_sort | l fuzzy fixed point results in f metric spaces with applications |
| topic | ℱ-metric space fixed point β-admissible hukuhara derivative 47h10 54h25 65q10 65q30 |
| url | https://doi.org/10.1515/dema-2022-0206 |
| work_keys_str_mv | AT lateefdurdana lfuzzyfixedpointresultsinfmetricspaceswithapplications |