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.

Bibliographic Details
Main Authors: V Pragadeeswarar, G Poonguzali, M Marudai, Stojan Radenović
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13663-017-0615-y
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spelling 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
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