2009 Fiscal Year Final Research Report
Equilibrium problem using the method of set-valued analysis
| Project/Area Number |
19740065
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
KIMURA Yasunori Tokyo Institute of Technology, 大学院・情報理工学研究科, 助教 (20313447)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 均衡問題 / リゾルベント / Mosco収束 / 変分不等式問題 / 極大単調作用素 |
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| Research Abstract |
In this research, we deal with some nonlinear problems which have been applied to other research fields such as engineering, economics, and others. We investigated their relationship and algorithms for finding their solutions. We focused on the equilibrium problems and variational inequality problems and found their close relationship. We also proposed some approximation methods of the solutions to these problems by using the methods of set-valued analysis.
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