Zero point problems of maximal monotone operators from the view of nonlinear projections
| Project/Area Number |
24740075
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Yokohama National University (2014-2015)
Tsuruoka National College of Technology (2012-2013) |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 距離射影 / （Ｐ）型写像 / 極大単調作用素 / 不動点近似法 / 近接点法 / バナッハ空間 / 極大単調作要素 / (P)型写像 / タイプ(P)型写像 |
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| Outline of Final Research Achievements |
In this research, we deal with zero point problems of maximal monotone operators which have applied to other research fields such as engineering, economics, and the others. We investigated the proximal point algorithms for finding their problems. In particular, we focused on the concept of the metric projection and study the nonexpansivity of the metric projection, that is a mapping of type (P). We proposed algorithms for finding a solution of the zero point problem and the fixed point problem which related to the metric projection. We also proposed algorithms for finding a fixed point of a mapping of type (R), which is related to a mapping of type (P).
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Report
(5 results)
Research Products
(28 results)
