Fixed Points of Contractive Mappings in b-Metric-Like Spaces
We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-met...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/471827 |
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| _version_ | 1850105135958589440 |
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| author | Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh Zoran Kadelburg |
| author_facet | Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh Zoran Kadelburg |
| author_sort | Nawab Hussain |
| collection | DOAJ |
| description | We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-metric-like spaces are obtained. Two examples are presented in order to verify the effectiveness and applicability of our main results. |
| format | Article |
| id | doaj-art-3d04d4fbc3ba49a6b4f291a52f87c336 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-3d04d4fbc3ba49a6b4f291a52f87c3362025-08-20T02:39:11ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/471827471827Fixed Points of Contractive Mappings in b-Metric-Like SpacesNawab Hussain0Jamal Rezaei Roshan1Vahid Parvaneh2Zoran Kadelburg3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranYoung Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, IranFaculty of Mathematics, University of Belgrade, Studentskitrg 16, 11000 Beograd, SerbiaWe discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-metric-like spaces are obtained. Two examples are presented in order to verify the effectiveness and applicability of our main results.http://dx.doi.org/10.1155/2014/471827 |
| spellingShingle | Nawab Hussain Jamal Rezaei Roshan Vahid Parvaneh Zoran Kadelburg Fixed Points of Contractive Mappings in b-Metric-Like Spaces The Scientific World Journal |
| title | Fixed Points of Contractive Mappings in b-Metric-Like Spaces |
| title_full | Fixed Points of Contractive Mappings in b-Metric-Like Spaces |
| title_fullStr | Fixed Points of Contractive Mappings in b-Metric-Like Spaces |
| title_full_unstemmed | Fixed Points of Contractive Mappings in b-Metric-Like Spaces |
| title_short | Fixed Points of Contractive Mappings in b-Metric-Like Spaces |
| title_sort | fixed points of contractive mappings in b metric like spaces |
| url | http://dx.doi.org/10.1155/2014/471827 |
| work_keys_str_mv | AT nawabhussain fixedpointsofcontractivemappingsinbmetriclikespaces AT jamalrezaeiroshan fixedpointsofcontractivemappingsinbmetriclikespaces AT vahidparvaneh fixedpointsofcontractivemappingsinbmetriclikespaces AT zorankadelburg fixedpointsofcontractivemappingsinbmetriclikespaces |