Common best proximity point theorem for multivalued mappings in partially ordered metric spaces
Abstract In this paper, we prove the existence of a common best proximity point for a pair of multivalued non-self mappings in partially ordered metric spaces. Also, we provide some interesting examples to illustrate our main results.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13663-017-0615-y |
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doaj-4a6473662fd04ffab869481b622c19232020-11-25T00:17:16ZengSpringerOpenFixed Point Theory and Applications1687-18122017-12-012017111410.1186/s13663-017-0615-yCommon best proximity point theorem for multivalued mappings in partially ordered metric spacesV Pragadeeswarar0G Poonguzali1M Marudai2Stojan Radenović3Department of Mathematics, Amrita UniversityDepartment of Mathematics, Bharathidasan UniversityDepartment of Mathematics, Bharathidasan UniversityNonlinear Analysis Research Group, Ton Duc Thang UniversityAbstract In this paper, we prove the existence of a common best proximity point for a pair of multivalued non-self mappings in partially ordered metric spaces. Also, we provide some interesting examples to illustrate our main results.http://link.springer.com/article/10.1186/s13663-017-0615-ypartially ordered setproximal relationP-propertyaltering distance functionbest proximity pointcommon best proximity point |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V Pragadeeswarar G Poonguzali M Marudai Stojan Radenović |
| spellingShingle |
V Pragadeeswarar G Poonguzali M Marudai Stojan Radenović Common best proximity point theorem for multivalued mappings in partially ordered metric spaces Fixed Point Theory and Applications partially ordered set proximal relation P-property altering distance function best proximity point common best proximity point |
| author_facet |
V Pragadeeswarar G Poonguzali M Marudai Stojan Radenović |
| author_sort |
V Pragadeeswarar |
| title |
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| title_short |
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| title_full |
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| title_fullStr |
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| title_full_unstemmed |
Common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| title_sort |
common best proximity point theorem for multivalued mappings in partially ordered metric spaces |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1812 |
| publishDate |
2017-12-01 |
| description |
Abstract In this paper, we prove the existence of a common best proximity point for a pair of multivalued non-self mappings in partially ordered metric spaces. Also, we provide some interesting examples to illustrate our main results. |
| topic |
partially ordered set proximal relation P-property altering distance function best proximity point common best proximity point |
| url |
http://link.springer.com/article/10.1186/s13663-017-0615-y |
| work_keys_str_mv |
AT vpragadeeswarar commonbestproximitypointtheoremformultivaluedmappingsinpartiallyorderedmetricspaces AT gpoonguzali commonbestproximitypointtheoremformultivaluedmappingsinpartiallyorderedmetricspaces AT mmarudai commonbestproximitypointtheoremformultivaluedmappingsinpartiallyorderedmetricspaces AT stojanradenovic commonbestproximitypointtheoremformultivaluedmappingsinpartiallyorderedmetricspaces |
| _version_ |
1716194865440620544 |