On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces
The fixed point theory of the set-valued mappings has important applications in many branches such as modern variation problems，optimization problems and economic equilibrium problems，and it has been an essential part of nonlinear functional analysis theory. In order to study the problem of the st...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2018-02-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1494 |
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| _version_ | 1849225116778496000 |
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| author | CHEN Li-li GAO Lu ZHOU Jing |
| author_facet | CHEN Li-li GAO Lu ZHOU Jing |
| author_sort | CHEN Li-li |
| collection | DOAJ |
| description | The fixed point theory of the set-valued mappings has important applications in many branches such
as modern variation problems，optimization problems and economic equilibrium problems，and it has been an
essential part of nonlinear functional analysis theory. In order to study the problem of the stationary points of the
mean nonexpansive set-valued mappings in Banach spaces，we based on Fixed Point Theory of the set-valued
mapping，by use of the asymptotic stationary points sequence，the asymptotic center and the asymptotic radius，the
necessary and sufficient conditions for the mean nonexpansive set-valued mappings which have the stationary points
are obtained. |
| format | Article |
| id | doaj-art-97f10ad64678486f9c7fd81e06e0ba99 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2018-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-97f10ad64678486f9c7fd81e06e0ba992025-08-25T06:10:53ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832018-02-01230113714210.15938/j.jhust.2018.01.025On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach SpacesCHEN Li-li0GAO Lu1ZHOU Jing2Department of Applied Mathematics，Harbin University of Science and Technology，Harbin 150080，ChinaDepartment of Applied Mathematics，Harbin University of Science and Technology，Harbin 150080，ChinaDepartment of Mathematics，Harbin Institute of Technology，Harbin 150001，ChinaThe fixed point theory of the set-valued mappings has important applications in many branches such as modern variation problems，optimization problems and economic equilibrium problems，and it has been an essential part of nonlinear functional analysis theory. In order to study the problem of the stationary points of the mean nonexpansive set-valued mappings in Banach spaces，we based on Fixed Point Theory of the set-valued mapping，by use of the asymptotic stationary points sequence，the asymptotic center and the asymptotic radius，the necessary and sufficient conditions for the mean nonexpansive set-valued mappings which have the stationary points are obtained.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1494stationary pointmean nonexpansive set-valued mappingasymptotic stationary points sequenceasymptotic centerbanach space |
| spellingShingle | CHEN Li-li GAO Lu ZHOU Jing On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces Journal of Harbin University of Science and Technology stationary point mean nonexpansive set-valued mapping asymptotic stationary points sequence asymptotic center banach space |
| title | On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces |
| title_full | On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces |
| title_fullStr | On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces |
| title_full_unstemmed | On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces |
| title_short | On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces |
| title_sort | on stationary points of mean nonexpansive set valued mappings in banach spaces |
| topic | stationary point mean nonexpansive set-valued mapping asymptotic stationary points sequence asymptotic center banach space |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1494 |
| work_keys_str_mv | AT chenlili onstationarypointsofmeannonexpansivesetvaluedmappingsinbanachspaces AT gaolu onstationarypointsofmeannonexpansivesetvaluedmappingsinbanachspaces AT zhoujing onstationarypointsofmeannonexpansivesetvaluedmappingsinbanachspaces |