Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/784207 |
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| _version_ | 1850158254229815296 |
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| author | Abdul Latif Chirasak Mongkolkeha Wutiphol Sintunavarat |
| author_facet | Abdul Latif Chirasak Mongkolkeha Wutiphol Sintunavarat |
| author_sort | Abdul Latif |
| collection | DOAJ |
| description | We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordinary metric spaces, metric spaces endowed with an arbitrary binary relation, and metric spaces endowed with graph. |
| format | Article |
| id | doaj-art-69c2375f330047a3a986b3aefec62c60 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-69c2375f330047a3a986b3aefec62c602025-08-20T02:23:56ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/784207784207Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and ApplicationsAbdul Latif0Chirasak Mongkolkeha1Wutiphol Sintunavarat2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhon Pathom 73140, ThailandDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12121, ThailandWe extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordinary metric spaces, metric spaces endowed with an arbitrary binary relation, and metric spaces endowed with graph.http://dx.doi.org/10.1155/2014/784207 |
| spellingShingle | Abdul Latif Chirasak Mongkolkeha Wutiphol Sintunavarat Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications The Scientific World Journal |
| title | Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications |
| title_full | Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications |
| title_fullStr | Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications |
| title_full_unstemmed | Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications |
| title_short | Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications |
| title_sort | fixed point theorems for generalized α β weakly contraction mappings in metric spaces and applications |
| url | http://dx.doi.org/10.1155/2014/784207 |
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