Remarks on Asymptotic Centers and Fixed Points
We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/247402 |
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| _version_ | 1850222319346122752 |
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| author | A. Kaewkhao K. Sokhuma |
| author_facet | A. Kaewkhao K. Sokhuma |
| author_sort | A. Kaewkhao |
| collection | DOAJ |
| description | We introduce a class of nonlinear continuous mappings defined on a bounded closed
convex subset of a Banach space X. We characterize the Banach spaces in which every
asymptotic center of each bounded sequence in any weakly compact convex subset is
compact as those spaces having the weak fixed point property for this type of mappings. |
| format | Article |
| id | doaj-art-6f2a57f5c1ba49c9a0f5ec2ebf7b4b4d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6f2a57f5c1ba49c9a0f5ec2ebf7b4b4d2025-08-20T02:06:23ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/247402247402Remarks on Asymptotic Centers and Fixed PointsA. Kaewkhao0K. Sokhuma1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, ThailandWe introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings.http://dx.doi.org/10.1155/2010/247402 |
| spellingShingle | A. Kaewkhao K. Sokhuma Remarks on Asymptotic Centers and Fixed Points Abstract and Applied Analysis |
| title | Remarks on Asymptotic Centers and Fixed Points |
| title_full | Remarks on Asymptotic Centers and Fixed Points |
| title_fullStr | Remarks on Asymptotic Centers and Fixed Points |
| title_full_unstemmed | Remarks on Asymptotic Centers and Fixed Points |
| title_short | Remarks on Asymptotic Centers and Fixed Points |
| title_sort | remarks on asymptotic centers and fixed points |
| url | http://dx.doi.org/10.1155/2010/247402 |
| work_keys_str_mv | AT akaewkhao remarksonasymptoticcentersandfixedpoints AT ksokhuma remarksonasymptoticcentersandfixedpoints |