Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings
In this paper, we introduce the class of extended rectangular <i>b</i>-metric spaces as a generalization of both rectangular metric and rectangular <i>b</i>-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and examples are...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/4/594 |
| _version_ | 1798004094078550016 |
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| author | Zead Mustafa Vahid Parvaneh Mohammed M.M. Jaradat Zoran Kadelburg |
| author_facet | Zead Mustafa Vahid Parvaneh Mohammed M.M. Jaradat Zoran Kadelburg |
| author_sort | Zead Mustafa |
| collection | DOAJ |
| description | In this paper, we introduce the class of extended rectangular <i>b</i>-metric spaces as a generalization of both rectangular metric and rectangular <i>b</i>-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and examples are given to illustrate these results. |
| first_indexed | 2024-04-11T12:18:05Z |
| format | Article |
| id | doaj.art-3e4bce2bb7d54951af1b776827ce7202 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:18:05Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-3e4bce2bb7d54951af1b776827ce72022022-12-22T04:24:11ZengMDPI AGSymmetry2073-89942019-04-0111459410.3390/sym11040594sym11040594Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive MappingsZead Mustafa0Vahid Parvaneh1Mohammed M.M. Jaradat2Zoran Kadelburg3Department of Mathematics, Statistics and Physics, Qatar University, Doha, P.O. Box 2713, QatarDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, P.O. Box 0834, IranDepartment of Mathematics, Statistics and Physics, Qatar University, Doha, P.O. Box 2713, QatarFaculty of Mathematics, University of Belgrade, Beograd, P.O. Box 11000, SerbiaIn this paper, we introduce the class of extended rectangular <i>b</i>-metric spaces as a generalization of both rectangular metric and rectangular <i>b</i>-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and examples are given to illustrate these results.https://www.mdpi.com/2073-8994/11/4/594fixed pointgeneralized metric spacerectangular metric space<i>b</i>-metric space |
| spellingShingle | Zead Mustafa Vahid Parvaneh Mohammed M.M. Jaradat Zoran Kadelburg Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings Symmetry fixed point generalized metric space rectangular metric space <i>b</i>-metric space |
| title | Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings |
| title_full | Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings |
| title_fullStr | Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings |
| title_full_unstemmed | Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings |
| title_short | Extended Rectangular <i>b</i>-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings |
| title_sort | extended rectangular i b i metric spaces and some fixed point theorems for contractive mappings |
| topic | fixed point generalized metric space rectangular metric space <i>b</i>-metric space |
| url | https://www.mdpi.com/2073-8994/11/4/594 |
| work_keys_str_mv | AT zeadmustafa extendedrectangularibimetricspacesandsomefixedpointtheoremsforcontractivemappings AT vahidparvaneh extendedrectangularibimetricspacesandsomefixedpointtheoremsforcontractivemappings AT mohammedmmjaradat extendedrectangularibimetricspacesandsomefixedpointtheoremsforcontractivemappings AT zorankadelburg extendedrectangularibimetricspacesandsomefixedpointtheoremsforcontractivemappings |