Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces
The goal of this paper is to extend the concept of complex-valued fuzzy metric space to complex-valued fuzzy b-metric spaces and to discuss various existence results for fixed points to ensure their existence and uniqueness. To demonstrate the viability of the proposed strategies, a nontrivial examp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2132957 |
| _version_ | 1798036141122781184 |
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| author | null Humaira Muhammad Sarwar Nabil Mlaiki |
| author_facet | null Humaira Muhammad Sarwar Nabil Mlaiki |
| author_sort | null Humaira |
| collection | DOAJ |
| description | The goal of this paper is to extend the concept of complex-valued fuzzy metric space to complex-valued fuzzy b-metric spaces and to discuss various existence results for fixed points to ensure their existence and uniqueness. To demonstrate the viability of the proposed strategies, a nontrivial example is used. Finally, applications to integral equations and initial value problems in mechanical engineering are discussed to demonstrate the superiority of the obtained results. |
| first_indexed | 2024-04-11T21:08:25Z |
| format | Article |
| id | doaj.art-f99ace86846b48f58d767f054f517dd8 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T21:08:25Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-f99ace86846b48f58d767f054f517dd82022-12-22T04:03:10ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2132957Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spacesnull Humaira0Muhammad Sarwar1Nabil Mlaiki2Department of MathematicsDepartment of MathematicsDepartment of Mathematics and SciencesThe goal of this paper is to extend the concept of complex-valued fuzzy metric space to complex-valued fuzzy b-metric spaces and to discuss various existence results for fixed points to ensure their existence and uniqueness. To demonstrate the viability of the proposed strategies, a nontrivial example is used. Finally, applications to integral equations and initial value problems in mechanical engineering are discussed to demonstrate the superiority of the obtained results.http://dx.doi.org/10.1155/2022/2132957 |
| spellingShingle | null Humaira Muhammad Sarwar Nabil Mlaiki Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces Journal of Function Spaces |
| title | Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces |
| title_full | Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces |
| title_fullStr | Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces |
| title_full_unstemmed | Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces |
| title_short | Unique Fixed Point Results and Its Applications in Complex-Valued Fuzzy b-Metric Spaces |
| title_sort | unique fixed point results and its applications in complex valued fuzzy b metric spaces |
| url | http://dx.doi.org/10.1155/2022/2132957 |
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