End Point Results in Metric Spaces Endowed with a Graph
We introduce the notion of end point of multivalued mappings in the setting of metric space endowed with a graph and prove some existence results in this context. The mappings are assumed to satisfy certain generalized multivalued almost G-contractive type inequalities. Further, the consequences of...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/9130107 |
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| _version_ | 1849307951087484928 |
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| author | Binayak S. Choudhury Nikhilesh Metiya Pradip Debnath |
| author_facet | Binayak S. Choudhury Nikhilesh Metiya Pradip Debnath |
| author_sort | Binayak S. Choudhury |
| collection | DOAJ |
| description | We introduce the notion of end point of multivalued mappings in the setting of metric space endowed with a graph and prove some existence results in this context. The mappings are assumed to satisfy certain generalized multivalued almost G-contractive type inequalities. Further, the consequences of the corresponding results in the cases of single-valued mappings are also discussed with examples. |
| format | Article |
| id | doaj-art-1f1dd9023d9243c697c016f7debecddb |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1f1dd9023d9243c697c016f7debecddb2025-08-20T03:54:34ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/91301079130107End Point Results in Metric Spaces Endowed with a GraphBinayak S. Choudhury0Nikhilesh Metiya1Pradip Debnath2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal 711103, IndiaDepartment of Mathematics, Sovarani Memorial College, Jagatballavpur, Howrah, West Bengal 711408, IndiaDepartment of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh 791109, IndiaWe introduce the notion of end point of multivalued mappings in the setting of metric space endowed with a graph and prove some existence results in this context. The mappings are assumed to satisfy certain generalized multivalued almost G-contractive type inequalities. Further, the consequences of the corresponding results in the cases of single-valued mappings are also discussed with examples.http://dx.doi.org/10.1155/2016/9130107 |
| spellingShingle | Binayak S. Choudhury Nikhilesh Metiya Pradip Debnath End Point Results in Metric Spaces Endowed with a Graph Journal of Mathematics |
| title | End Point Results in Metric Spaces Endowed with a Graph |
| title_full | End Point Results in Metric Spaces Endowed with a Graph |
| title_fullStr | End Point Results in Metric Spaces Endowed with a Graph |
| title_full_unstemmed | End Point Results in Metric Spaces Endowed with a Graph |
| title_short | End Point Results in Metric Spaces Endowed with a Graph |
| title_sort | end point results in metric spaces endowed with a graph |
| url | http://dx.doi.org/10.1155/2016/9130107 |
| work_keys_str_mv | AT binayakschoudhury endpointresultsinmetricspacesendowedwithagraph AT nikhileshmetiya endpointresultsinmetricspacesendowedwithagraph AT pradipdebnath endpointresultsinmetricspacesendowedwithagraph |