Common coincidence points for Nadler’s type hybrid fuzzy contractions
Abstract In the framework of complete metric spaces, the major objective of this paper is to investigate if a common coincidence point exists for more than two fuzzy mappings meeting the criteria of hybrid fuzzy contractions of Nadler’s type in connection with the Hausdorff metric. Fascinating examp...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03009-w |
| _version_ | 1827632810431610880 |
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| author | Shazia Kanwal Shumaila Maham Mohammed Shehu Shagari OM Kalthum S. K. Mohamed Arafa O. Mustafa Awad A. Bakery |
| author_facet | Shazia Kanwal Shumaila Maham Mohammed Shehu Shagari OM Kalthum S. K. Mohamed Arafa O. Mustafa Awad A. Bakery |
| author_sort | Shazia Kanwal |
| collection | DOAJ |
| description | Abstract In the framework of complete metric spaces, the major objective of this paper is to investigate if a common coincidence point exists for more than two fuzzy mappings meeting the criteria of hybrid fuzzy contractions of Nadler’s type in connection with the Hausdorff metric. Fascinating examples are also provided to show how the strategy can be used. For the presence of a common α-fuzzy fixed point of three and four fuzzy mappings, we have derived sufficient requirements. Further prior observations are offered as corollaries from the relevant literature. Some implications that are clear in this mode and widely covered in literature are expanded upon and included in our study. |
| first_indexed | 2024-03-09T14:49:48Z |
| format | Article |
| id | doaj.art-eb1a530b2c714db88c034f1f70c90dae |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-09T14:49:48Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-eb1a530b2c714db88c034f1f70c90dae2023-11-26T14:32:45ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-08-012023111810.1186/s13660-023-03009-wCommon coincidence points for Nadler’s type hybrid fuzzy contractionsShazia Kanwal0Shumaila Maham1Mohammed Shehu Shagari2OM Kalthum S. K. Mohamed3Arafa O. Mustafa4Awad A. Bakery5Department of Mathematics, Government College University FaisalabadDepartment of Mathematics, Government College University FaisalabadAhmadu Bello UniversityCollege of Science and Arts at Khulis, Department of Mathematics, University of JeddahUniversity of Jeddah, College of Business at KhulisCollege of Science and Arts at Khulis, Department of Mathematics, University of JeddahAbstract In the framework of complete metric spaces, the major objective of this paper is to investigate if a common coincidence point exists for more than two fuzzy mappings meeting the criteria of hybrid fuzzy contractions of Nadler’s type in connection with the Hausdorff metric. Fascinating examples are also provided to show how the strategy can be used. For the presence of a common α-fuzzy fixed point of three and four fuzzy mappings, we have derived sufficient requirements. Further prior observations are offered as corollaries from the relevant literature. Some implications that are clear in this mode and widely covered in literature are expanded upon and included in our study.https://doi.org/10.1186/s13660-023-03009-wb-metric spaceComplex-valued metric spaceComplex-valued extended metric spaceWeakly compatible mappingsFixed pointsCoincidence and common fixed points |
| spellingShingle | Shazia Kanwal Shumaila Maham Mohammed Shehu Shagari OM Kalthum S. K. Mohamed Arafa O. Mustafa Awad A. Bakery Common coincidence points for Nadler’s type hybrid fuzzy contractions Journal of Inequalities and Applications b-metric space Complex-valued metric space Complex-valued extended metric space Weakly compatible mappings Fixed points Coincidence and common fixed points |
| title | Common coincidence points for Nadler’s type hybrid fuzzy contractions |
| title_full | Common coincidence points for Nadler’s type hybrid fuzzy contractions |
| title_fullStr | Common coincidence points for Nadler’s type hybrid fuzzy contractions |
| title_full_unstemmed | Common coincidence points for Nadler’s type hybrid fuzzy contractions |
| title_short | Common coincidence points for Nadler’s type hybrid fuzzy contractions |
| title_sort | common coincidence points for nadler s type hybrid fuzzy contractions |
| topic | b-metric space Complex-valued metric space Complex-valued extended metric space Weakly compatible mappings Fixed points Coincidence and common fixed points |
| url | https://doi.org/10.1186/s13660-023-03009-w |
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