2013 Fiscal Year Final Research Report
Study of equilibrium problems and its application to optimization problems
| Project/Area Number |
21540113
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Chiba University |
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Principal Investigator |
AOYAMA Koji 千葉大学, 法経学部, 教授 (20293152)
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| Co-Investigator(Renkei-kenkyūsha) |
SATO Eisaku 千葉大学, 法経学部, 教授 (10366940)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 均衡問題 / 不動点理論 / 凸解析 / 最適化 / アルゴリズム |
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| Research Abstract |
In this research, we dealt with equilibrium problems, fixed point problems, zero point problems, and variational inequality problems in Banach spaces and Hilbert spaces. Then we obtained some existence theorems and convergence theorems for such problems by using the method of fixed point theory and nonlinear operator theory. Moreover, we also investigated relationships between approximation methods of fixed points, and strong or firm nonexpansiveness of nonlinear mappings.
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