Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications
Abstract The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-domin...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03115-3 |
| _version_ | 1827276890003472384 |
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| author | Tahair Rasham Romana Qadir Fady Hasan R. P. Agarwal Wasfi Shatanawi |
| author_facet | Tahair Rasham Romana Qadir Fady Hasan R. P. Agarwal Wasfi Shatanawi |
| author_sort | Tahair Rasham |
| collection | DOAJ |
| description | Abstract The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-dominated mappings on a closed ball that meet the requirements of a generalized locally contraction. This research introduces new and challenging fixed-point problems for families of ordered fuzzy-dominated mappings in ordered complete b-multiplicative metric spaces. Moreover, we demonstrate a new concept for families of fuzzy graph-dominated mappings on a closed ball in these spaces. Additionally, we present novel findings for graphic contraction endowed with graphic structure. These findings are groundbreaking and provide a strong foundation for future research in this field. To demonstrate the uniqueness of our novel findings, we provide evidence of their applicability in obtaining the common solution of integral and fractional differential equations. Our findings have resulted in modifications to several contemporary and classical results in the research literature. This provides further evidence of the originality and impact of our work. |
| first_indexed | 2024-04-24T07:10:37Z |
| format | Article |
| id | doaj.art-3b4c08740b264ba1bc8e596a71199a36 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T07:10:37Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-3b4c08740b264ba1bc8e596a71199a362024-04-21T11:33:40ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-04-012024111910.1186/s13660-024-03115-3Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applicationsTahair Rasham0Romana Qadir1Fady Hasan2R. P. Agarwal3Wasfi Shatanawi4Department of Mathematics, University of Poonch RawalakotDepartment of Mathematics, University of Poonch RawalakotDepartment of Mathematics and Sciences, Prince Sultan UniversityDepartment of Mathematics, Texas A&M University-KingsvilleDepartment of Mathematics and Sciences, Prince Sultan UniversityAbstract The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-dominated mappings on a closed ball that meet the requirements of a generalized locally contraction. This research introduces new and challenging fixed-point problems for families of ordered fuzzy-dominated mappings in ordered complete b-multiplicative metric spaces. Moreover, we demonstrate a new concept for families of fuzzy graph-dominated mappings on a closed ball in these spaces. Additionally, we present novel findings for graphic contraction endowed with graphic structure. These findings are groundbreaking and provide a strong foundation for future research in this field. To demonstrate the uniqueness of our novel findings, we provide evidence of their applicability in obtaining the common solution of integral and fractional differential equations. Our findings have resulted in modifications to several contemporary and classical results in the research literature. This provides further evidence of the originality and impact of our work.https://doi.org/10.1186/s13660-024-03115-3Fixed pointb-multiplicative metric spaceAdvanced locally contractionFamilies of fuzzy-dominated mappingsGraph contractionOrdered families of fuzzy mappings |
| spellingShingle | Tahair Rasham Romana Qadir Fady Hasan R. P. Agarwal Wasfi Shatanawi Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications Journal of Inequalities and Applications Fixed point b-multiplicative metric space Advanced locally contraction Families of fuzzy-dominated mappings Graph contraction Ordered families of fuzzy mappings |
| title | Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications |
| title_full | Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications |
| title_fullStr | Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications |
| title_full_unstemmed | Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications |
| title_short | Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications |
| title_sort | novel results for separate families of fuzzy dominated mappings satisfying advanced locally contractions in b multiplicative metric spaces with applications |
| topic | Fixed point b-multiplicative metric space Advanced locally contraction Families of fuzzy-dominated mappings Graph contraction Ordered families of fuzzy mappings |
| url | https://doi.org/10.1186/s13660-024-03115-3 |
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