Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications
Over time, hybrid fixed point results have been examined merely in the framework of classical mathematics. This one way research has clearly dropped-off a great amount of important results, considering the fact that a fuzzy set is a natural enhancement of a crisp set. In order to entrench hybrid fix...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/2260153 |
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| _version_ | 1832547918486175744 |
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| author | Mohammed Shehu Shagari Shazia Kanwal Akbar Azam Hassen Aydi Yaé Ulrich Gaba |
| author_facet | Mohammed Shehu Shagari Shazia Kanwal Akbar Azam Hassen Aydi Yaé Ulrich Gaba |
| author_sort | Mohammed Shehu Shagari |
| collection | DOAJ |
| description | Over time, hybrid fixed point results have been examined merely in the framework of classical mathematics. This one way research has clearly dropped-off a great amount of important results, considering the fact that a fuzzy set is a natural enhancement of a crisp set. In order to entrench hybrid fixed notions in fuzzy mathematics, this paper focuses on introducing a new idea under the name intuitionistic fuzzy p-hybrid contractions in the realm of -metric spaces. Sufficient conditions for the existence of common intuitionistic fuzzy fixed points for such maps are established. In the instance where our presented results are slimmed down to their equivalent nonfuzzy counterparts, the concept investigated herein unifies and generalizes a significant number of well-known fixed point theorems in the setting of both single-valued and multivalued mappings in the corresponding literature. A handful of these special cases are highlighted and analysed as corollaries. A nontrivial example is put together to indicate that the hypotheses of our results are valid. |
| format | Article |
| id | doaj-art-5ee548de9f374e86b0edb70fa7cd7d56 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5ee548de9f374e86b0edb70fa7cd7d562025-02-03T06:42:48ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/2260153Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related ApplicationsMohammed Shehu Shagari0Shazia Kanwal1Akbar Azam2Hassen Aydi3Yaé Ulrich Gaba4Department of MathematicsDepartment of MathematicsDepartment of MathematicsInstitut Supérieur D’Informatique et des Techniques de CommunicationDepartment of Mathematics and Applied MathematicsOver time, hybrid fixed point results have been examined merely in the framework of classical mathematics. This one way research has clearly dropped-off a great amount of important results, considering the fact that a fuzzy set is a natural enhancement of a crisp set. In order to entrench hybrid fixed notions in fuzzy mathematics, this paper focuses on introducing a new idea under the name intuitionistic fuzzy p-hybrid contractions in the realm of -metric spaces. Sufficient conditions for the existence of common intuitionistic fuzzy fixed points for such maps are established. In the instance where our presented results are slimmed down to their equivalent nonfuzzy counterparts, the concept investigated herein unifies and generalizes a significant number of well-known fixed point theorems in the setting of both single-valued and multivalued mappings in the corresponding literature. A handful of these special cases are highlighted and analysed as corollaries. A nontrivial example is put together to indicate that the hypotheses of our results are valid.http://dx.doi.org/10.1155/2023/2260153 |
| spellingShingle | Mohammed Shehu Shagari Shazia Kanwal Akbar Azam Hassen Aydi Yaé Ulrich Gaba Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications Journal of Mathematics |
| title | Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications |
| title_full | Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications |
| title_fullStr | Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications |
| title_full_unstemmed | Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications |
| title_short | Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications |
| title_sort | common fixed point results for intuitionistic fuzzy hybrid contractions with related applications |
| url | http://dx.doi.org/10.1155/2023/2260153 |
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