Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces
This research paper introduces a comprehensive study on fixed points in orthogonal fuzzy metric spaces. The primary objective is to establish the existence and uniqueness of fixed points for self-mappings satisfying implicit relation criteria in complete orthogonal fuzzy metric spaces. By doing so,...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2023/5037401 |
| _version_ | 1797394996366671872 |
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| author | null Sonam Vandana Rathore Amita Pal Ramakant Bhardwaj Satyendra Narayan |
| author_facet | null Sonam Vandana Rathore Amita Pal Ramakant Bhardwaj Satyendra Narayan |
| author_sort | null Sonam |
| collection | DOAJ |
| description | This research paper introduces a comprehensive study on fixed points in orthogonal fuzzy metric spaces. The primary objective is to establish the existence and uniqueness of fixed points for self-mappings satisfying implicit relation criteria in complete orthogonal fuzzy metric spaces. By doing so, our proven results extend and generalise well-known findings in the field of fixed-point theory. To demonstrate the significance of the established results, several related examples are provided, serving to support and validate the theoretical findings in orthogonal fuzzy metric spaces. The implications of these results are discussed, shedding light on their potential applications in various practical scenarios. In addition to theoretical advancements, the paper also demonstrates a practical application of our established results in solving integral equations. This application exemplifies the effectiveness and versatility of the proposed approach in real-world problem-solving scenarios. |
| first_indexed | 2024-03-09T00:27:55Z |
| format | Article |
| id | doaj.art-fd130bb3ee394cd89244869c22d9a362 |
| institution | Directory Open Access Journal |
| issn | 1687-711X |
| language | English |
| last_indexed | 2024-03-09T00:27:55Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj.art-fd130bb3ee394cd89244869c22d9a3622023-12-12T00:00:02ZengHindawi LimitedAdvances in Fuzzy Systems1687-711X2023-01-01202310.1155/2023/5037401Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spacesnull Sonam0Vandana Rathore1Amita Pal2Ramakant Bhardwaj3Satyendra Narayan4Department of MathematicsSchool of Engineering and TechnologyMarathwada Mitramandal’s Institute of TechnologyDepartment of MathematicsDepartment of Applied ComputingThis research paper introduces a comprehensive study on fixed points in orthogonal fuzzy metric spaces. The primary objective is to establish the existence and uniqueness of fixed points for self-mappings satisfying implicit relation criteria in complete orthogonal fuzzy metric spaces. By doing so, our proven results extend and generalise well-known findings in the field of fixed-point theory. To demonstrate the significance of the established results, several related examples are provided, serving to support and validate the theoretical findings in orthogonal fuzzy metric spaces. The implications of these results are discussed, shedding light on their potential applications in various practical scenarios. In addition to theoretical advancements, the paper also demonstrates a practical application of our established results in solving integral equations. This application exemplifies the effectiveness and versatility of the proposed approach in real-world problem-solving scenarios.http://dx.doi.org/10.1155/2023/5037401 |
| spellingShingle | null Sonam Vandana Rathore Amita Pal Ramakant Bhardwaj Satyendra Narayan Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces Advances in Fuzzy Systems |
| title | Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces |
| title_full | Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces |
| title_fullStr | Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces |
| title_full_unstemmed | Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces |
| title_short | Fixed-Point Results for Mappings Satisfying Implicit Relation in Orthogonal Fuzzy Metric Spaces |
| title_sort | fixed point results for mappings satisfying implicit relation in orthogonal fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2023/5037401 |
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