Fixed Point Theory and Related Nonlinear Problems
| Project/Area Number |
21540189
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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 |
Basic analysis
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| Research Institution | Kyushu Institute of Technology |
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Principal Investigator |
SUZUKI Tomonari 九州工業大学, 大学院・工学研究院, 教授 (00303173)
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| Co-Investigator(Kenkyū-buntansha) |
KATO Mikio 信州大学, 工学部, 教授 (50090551)
KIKKAWA Misako 埼玉大学, 理工学研究科, 非常勤講師 (20444052)
仙葉 隆 九州工業大学, 工学(系)研究科(研究院), 教授 (30196985)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 実解析 / 不動点理論 / 不動点 / 非線形半群 / 自己稠密核 / 非拡大写像 / 非拡大写像族 / 縮小写像 / Kannan写像 / Banach空間の幾何学 / 非拡大半群 / τ-distance / 回帰性 / 一様non-1^n_1性 |
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| Research Abstract |
In these four years, we have obtained several results in fixed point theory. For example, we have obtained the best possible condition on some type of Browder's convergence for nonexpansive semigroups in Hilbert spaces. We have discussed the concept of generalized nonexpansive mappings in Banach spaces and successive approximation converging to a fixed point in complete metric spaces.
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Report
(5 results)
Research Products
(57 results)
