2017 Fiscal Year Final Research Report
Methods for Variational Inequalities and Related Problems
| Project/Area Number |
26330029
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical informatics
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| Research Institution | Nanzan University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 均衡問題 / 最適化問題 / 変分不等式 / 相補性問題 / ゲーム理論 |
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| Outline of Final Research Achievements |
Variational inequalities play an important role in mathematical modeling of equilibrium problems that arise in such diverse areas as economics, transportation, finance and mechanics. The purpose of this research is to develop practical methods for problems closely related to variational inequalities, including complementarity problems, optimization problems, and problems in game theory. Specifically, in this research, we developed methods for eigenvalue complementarity problems, multi-leader-follower games, and conic optimization problems such as nonlinear semidefinite programs and nonlinear second-order cone programs.
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| Free Research Field |
最適化理論
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