Contractibility of Fixed Point Sets of Mean-Type Mappings
We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point se...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/3689069 |
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| _version_ | 1832559034341785600 |
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| author | S. Iampiboonvatana P. Chaoha |
| author_facet | S. Iampiboonvatana P. Chaoha |
| author_sort | S. Iampiboonvatana |
| collection | DOAJ |
| description | We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting. |
| format | Article |
| id | doaj-art-d4313eb78f4c4df3a220dc28bbf5f0fd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d4313eb78f4c4df3a220dc28bbf5f0fd2025-02-03T01:31:07ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/36890693689069Contractibility of Fixed Point Sets of Mean-Type MappingsS. Iampiboonvatana0P. Chaoha1Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandDepartment of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, ThailandWe establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.http://dx.doi.org/10.1155/2017/3689069 |
| spellingShingle | S. Iampiboonvatana P. Chaoha Contractibility of Fixed Point Sets of Mean-Type Mappings Abstract and Applied Analysis |
| title | Contractibility of Fixed Point Sets of Mean-Type Mappings |
| title_full | Contractibility of Fixed Point Sets of Mean-Type Mappings |
| title_fullStr | Contractibility of Fixed Point Sets of Mean-Type Mappings |
| title_full_unstemmed | Contractibility of Fixed Point Sets of Mean-Type Mappings |
| title_short | Contractibility of Fixed Point Sets of Mean-Type Mappings |
| title_sort | contractibility of fixed point sets of mean type mappings |
| url | http://dx.doi.org/10.1155/2017/3689069 |
| work_keys_str_mv | AT siampiboonvatana contractibilityoffixedpointsetsofmeantypemappings AT pchaoha contractibilityoffixedpointsetsofmeantypemappings |