Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition
We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results of Jung (2007) and Panyanak and Suantai (2020).
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/6150398 |
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| _version_ | 1832562893807157248 |
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| author | Thanomsak Laokul |
| author_facet | Thanomsak Laokul |
| author_sort | Thanomsak Laokul |
| collection | DOAJ |
| description | We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results of Jung (2007) and Panyanak and Suantai (2020). |
| format | Article |
| id | doaj-art-9b5bce535ce7498c9683322ba316cea0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9b5bce535ce7498c9683322ba316cea02025-02-03T01:21:34ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/61503986150398Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint ConditionThanomsak Laokul0Department of Mathematics, Faculty of Science Chiang Mai University, Chiang Mai 50200, ThailandWe prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results of Jung (2007) and Panyanak and Suantai (2020).http://dx.doi.org/10.1155/2020/6150398 |
| spellingShingle | Thanomsak Laokul Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition Abstract and Applied Analysis |
| title | Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition |
| title_full | Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition |
| title_fullStr | Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition |
| title_full_unstemmed | Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition |
| title_short | Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition |
| title_sort | browder s convergence theorem for multivalued mappings in banach spaces without the endpoint condition |
| url | http://dx.doi.org/10.1155/2020/6150398 |
| work_keys_str_mv | AT thanomsaklaokul browdersconvergencetheoremformultivaluedmappingsinbanachspaceswithouttheendpointcondition |