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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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2018-02-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1494 |
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| Summary: | 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. |
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| ISSN: | 1007-2683 |