Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces

The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. All results of Dhompongsa et al. (2005) and Chaoha and Phon-on (2006) are also ext...

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Main Authors: A. Kaewcharoen, B. Panyanak
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/163580
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author A. Kaewcharoen
B. Panyanak
author_facet A. Kaewcharoen
B. Panyanak
author_sort A. Kaewcharoen
collection DOAJ
description The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. All results of Dhompongsa et al. (2005) and Chaoha and Phon-on (2006) are also extended.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d6cf2bccdbed4408803b8335ad187c112025-02-03T05:53:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/163580163580Fixed Points for Multivalued Mappings in Uniformly Convex Metric SpacesA. Kaewcharoen0B. Panyanak1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThe purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. All results of Dhompongsa et al. (2005) and Chaoha and Phon-on (2006) are also extended.http://dx.doi.org/10.1155/2008/163580
spellingShingle A. Kaewcharoen
B. Panyanak
Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
International Journal of Mathematics and Mathematical Sciences
title Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
title_full Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
title_fullStr Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
title_full_unstemmed Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
title_short Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
title_sort fixed points for multivalued mappings in uniformly convex metric spaces
url http://dx.doi.org/10.1155/2008/163580
work_keys_str_mv AT akaewcharoen fixedpointsformultivaluedmappingsinuniformlyconvexmetricspaces
AT bpanyanak fixedpointsformultivaluedmappingsinuniformlyconvexmetricspaces