Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation
Abstract We propose a method for constructing a generalized fuzzy Hausdorff distance on the set of the nonempty compact subsets of a given generalized fuzzy metric space in the sence of George–Veeramni and Tian–Ha–Tian. Next, we define the generalized fuzzy fractal spaces. Morever, we obtain a fixed...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02680-1 |
| _version_ | 1818681647274393600 |
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| author | Alireza Alihajimohammad Reza Saadati |
| author_facet | Alireza Alihajimohammad Reza Saadati |
| author_sort | Alireza Alihajimohammad |
| collection | DOAJ |
| description | Abstract We propose a method for constructing a generalized fuzzy Hausdorff distance on the set of the nonempty compact subsets of a given generalized fuzzy metric space in the sence of George–Veeramni and Tian–Ha–Tian. Next, we define the generalized fuzzy fractal spaces. Morever, we obtain a fixed point theorem of a class of generalized fuzzy contractions and present an application in integranl equation. |
| first_indexed | 2024-12-17T10:06:16Z |
| format | Article |
| id | doaj.art-b4320583e788469b81143bcfa0176879 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-17T10:06:16Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b4320583e788469b81143bcfa01768792022-12-21T21:53:10ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-08-012021111510.1186/s13660-021-02680-1Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equationAlireza Alihajimohammad0Reza Saadati1Department of Mathematics, Science and Research Branch, Islamic Azad UniversitySchool of Mathematics, Iran University of Science and TechnologyAbstract We propose a method for constructing a generalized fuzzy Hausdorff distance on the set of the nonempty compact subsets of a given generalized fuzzy metric space in the sence of George–Veeramni and Tian–Ha–Tian. Next, we define the generalized fuzzy fractal spaces. Morever, we obtain a fixed point theorem of a class of generalized fuzzy contractions and present an application in integranl equation.https://doi.org/10.1186/s13660-021-02680-1GFGV-metric spacesGFGV-Hausdorff distanceFixed pointsFuzzy fractal space |
| spellingShingle | Alireza Alihajimohammad Reza Saadati Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation Journal of Inequalities and Applications GFGV-metric spaces GFGV-Hausdorff distance Fixed points Fuzzy fractal space |
| title | Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation |
| title_full | Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation |
| title_fullStr | Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation |
| title_full_unstemmed | Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation |
| title_short | Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation |
| title_sort | generalized fuzzy gv hausdorff distance in gfgv fractal spaces with application in integral equation |
| topic | GFGV-metric spaces GFGV-Hausdorff distance Fixed points Fuzzy fractal space |
| url | https://doi.org/10.1186/s13660-021-02680-1 |
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