New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces
The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/8833214 |
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| _version_ | 1832550836183498752 |
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| author | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri |
| author_facet | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri |
| author_sort | Abdelkarim Kari |
| collection | DOAJ |
| description | The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results. |
| format | Article |
| id | doaj-art-67fed34c90e84a2a90b3fd242cda3552 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67fed34c90e84a2a90b3fd242cda35522025-02-03T06:05:46ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/88332148833214New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric SpacesAbdelkarim Kari0Mohamed Rossafi1El Miloudi Marhrani2Mohamed Aamri3Laboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoDepartment of Mathematics, University of Ibn Tofail, 133 Kenitra, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoThe Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results.http://dx.doi.org/10.1155/2020/8833214 |
| spellingShingle | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces Abstract and Applied Analysis |
| title | New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces |
| title_full | New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces |
| title_fullStr | New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces |
| title_full_unstemmed | New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces |
| title_short | New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces |
| title_sort | new fixed point theorems for θ ϕ contraction on rectangular b metric spaces |
| url | http://dx.doi.org/10.1155/2020/8833214 |
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