End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces

The purpose of this paper is to prove end-point theorems for multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric spaces. Afterwards, we extend the results of previous sections and prove common end-point results for a pair of 𝒯-weakly isotone...

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Main Authors: Ismat Beg, Hemant Kumar Nashine
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/580250
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spelling doaj-4f26fccd9f2d436eb84b7a4e075c42c02020-11-24T22:27:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/580250580250End-Point Results for Multivalued Mappings in Partially Ordered Metric SpacesIsmat Beg0Hemant Kumar Nashine1Department of Mathematics and Statistics, Faculty of Management Studies, University of Central Punjab, Lahore, PakistanDepartment of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur 492101, IndiaThe purpose of this paper is to prove end-point theorems for multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric spaces. Afterwards, we extend the results of previous sections and prove common end-point results for a pair of 𝒯-weakly isotone increasing multivalued mappings in the underlying spaces. Finally, we present common end point for a pair of 𝒯-weakly isotone increasing multivalued mappings satisfying weakly contractive condition.http://dx.doi.org/10.1155/2012/580250
collection DOAJ
language English
format Article
sources DOAJ
author Ismat Beg
Hemant Kumar Nashine
spellingShingle Ismat Beg
Hemant Kumar Nashine
End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Ismat Beg
Hemant Kumar Nashine
author_sort Ismat Beg
title End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
title_short End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
title_full End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
title_fullStr End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
title_full_unstemmed End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces
title_sort end-point results for multivalued mappings in partially ordered metric spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2012-01-01
description The purpose of this paper is to prove end-point theorems for multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric spaces. Afterwards, we extend the results of previous sections and prove common end-point results for a pair of 𝒯-weakly isotone increasing multivalued mappings in the underlying spaces. Finally, we present common end point for a pair of 𝒯-weakly isotone increasing multivalued mappings satisfying weakly contractive condition.
url http://dx.doi.org/10.1155/2012/580250
work_keys_str_mv AT ismatbeg endpointresultsformultivaluedmappingsinpartiallyorderedmetricspaces
AT hemantkumarnashine endpointresultsformultivaluedmappingsinpartiallyorderedmetricspaces
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