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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Format: | Article |
Language: | English |
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Wiley
2008-01-01
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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. |
format | Article |
id | doaj-art-d6cf2bccdbed4408803b8335ad187c11 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2008-01-01 |
publisher | Wiley |
record_format | Article |
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 |