Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations
In this paper, we introduce generalized α-η-fuzzy contractive mappings and generalized β-ζ-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Som...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9931066 |
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| _version_ | 1849683644276277248 |
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| author | Babak Mohammadi Azhar Hussain Vahid Parvaneh Naeem Saleem Rogheieh Jalal Shahkoohi |
| author_facet | Babak Mohammadi Azhar Hussain Vahid Parvaneh Naeem Saleem Rogheieh Jalal Shahkoohi |
| author_sort | Babak Mohammadi |
| collection | DOAJ |
| description | In this paper, we introduce generalized α-η-fuzzy contractive mappings and generalized β-ζ-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results. |
| format | Article |
| id | doaj-art-cf16e7a9868547318a19680db468f47c |
| institution | DOAJ |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cf16e7a9868547318a19680db468f47c2025-08-20T03:23:46ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99310669931066Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral EquationsBabak Mohammadi0Azhar Hussain1Vahid Parvaneh2Naeem Saleem3Rogheieh Jalal Shahkoohi4Department of Mathematics, Marand Branch, Islamic Azad University, Marand, IranDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, IranIn this paper, we introduce generalized α-η-fuzzy contractive mappings and generalized β-ζ-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results.http://dx.doi.org/10.1155/2021/9931066 |
| spellingShingle | Babak Mohammadi Azhar Hussain Vahid Parvaneh Naeem Saleem Rogheieh Jalal Shahkoohi Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations Journal of Mathematics |
| title | Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations |
| title_full | Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations |
| title_fullStr | Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations |
| title_full_unstemmed | Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations |
| title_short | Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations |
| title_sort | fixed point results for generalized fuzzy contractive mappings in fuzzy metric spaces with application in integral equations |
| url | http://dx.doi.org/10.1155/2021/9931066 |
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