Rectangular Metric-Like Type Spaces and Related Fixed Points
In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/3581768 |
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| _version_ | 1832561300710883328 |
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| author | N. Mlaiki K. Abodayeh H. Aydi T. Abdeljawad M. Abuloha |
| author_facet | N. Mlaiki K. Abodayeh H. Aydi T. Abdeljawad M. Abuloha |
| author_sort | N. Mlaiki |
| collection | DOAJ |
| description | In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces. |
| format | Article |
| id | doaj-art-925462fa90c04a27a6d20200c54b033e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-925462fa90c04a27a6d20200c54b033e2025-02-03T01:25:22ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/35817683581768Rectangular Metric-Like Type Spaces and Related Fixed PointsN. Mlaiki0K. Abodayeh1H. Aydi2T. Abdeljawad3M. Abuloha4Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, Industrial Jubail 31961, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaPalestine Technical University, Kadoorie, Tulkarem, State of PalestineIn this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.http://dx.doi.org/10.1155/2018/3581768 |
| spellingShingle | N. Mlaiki K. Abodayeh H. Aydi T. Abdeljawad M. Abuloha Rectangular Metric-Like Type Spaces and Related Fixed Points Journal of Mathematics |
| title | Rectangular Metric-Like Type Spaces and Related Fixed Points |
| title_full | Rectangular Metric-Like Type Spaces and Related Fixed Points |
| title_fullStr | Rectangular Metric-Like Type Spaces and Related Fixed Points |
| title_full_unstemmed | Rectangular Metric-Like Type Spaces and Related Fixed Points |
| title_short | Rectangular Metric-Like Type Spaces and Related Fixed Points |
| title_sort | rectangular metric like type spaces and related fixed points |
| url | http://dx.doi.org/10.1155/2018/3581768 |
| work_keys_str_mv | AT nmlaiki rectangularmetricliketypespacesandrelatedfixedpoints AT kabodayeh rectangularmetricliketypespacesandrelatedfixedpoints AT haydi rectangularmetricliketypespacesandrelatedfixedpoints AT tabdeljawad rectangularmetricliketypespacesandrelatedfixedpoints AT mabuloha rectangularmetricliketypespacesandrelatedfixedpoints |