A New Class of Contraction in b-Metric Spaces and Applications
A novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/9718535 |
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| _version_ | 1850167660519620608 |
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| author | Preeti Kaushik Sanjay Kumar Kenan Tas |
| author_facet | Preeti Kaushik Sanjay Kumar Kenan Tas |
| author_sort | Preeti Kaushik |
| collection | DOAJ |
| description | A novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation. |
| format | Article |
| id | doaj-art-d83cb09340e0418ea98e1da25556d624 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d83cb09340e0418ea98e1da25556d6242025-08-20T02:21:10ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/97185359718535A New Class of Contraction in b-Metric Spaces and ApplicationsPreeti Kaushik0Sanjay Kumar1Kenan Tas2Department of Mathematics, DCRUST, Murthal, Sonepat 131 039, IndiaDepartment of Mathematics, DCRUST, Murthal, Sonepat 131 039, IndiaDepartment of Mathematics and Computer Science, Çankaya University, Ankara, TurkeyA novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.http://dx.doi.org/10.1155/2017/9718535 |
| spellingShingle | Preeti Kaushik Sanjay Kumar Kenan Tas A New Class of Contraction in b-Metric Spaces and Applications Abstract and Applied Analysis |
| title | A New Class of Contraction in b-Metric Spaces and Applications |
| title_full | A New Class of Contraction in b-Metric Spaces and Applications |
| title_fullStr | A New Class of Contraction in b-Metric Spaces and Applications |
| title_full_unstemmed | A New Class of Contraction in b-Metric Spaces and Applications |
| title_short | A New Class of Contraction in b-Metric Spaces and Applications |
| title_sort | new class of contraction in b metric spaces and applications |
| url | http://dx.doi.org/10.1155/2017/9718535 |
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