Nonlinear problems related to fixed point theory
| Project/Area Number |
25400141
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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 |
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) |
加藤 幹雄 信州大学, 工学部, 非常勤講師 (50090551)
本田 あおい 九州工業大学, 大学院情報工学研究院, 准教授 (50271119)
仙葉 隆 九州工業大学, 大学院工学研究院, 教授 (30196985)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 不動点 / best proximity point / nonspreading mapping / Chatterjea mapping / ν-generalized metric / absolute norm / p-uniform convexity / q-uniform smoothness / contraction / generalized nonexpansive / Kadec-Klee property / weak P-property |
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| Outline of Final Research Achievements |
In these three years, we have several results in nonlinear problems related to fixed point theory. For example, we have introduced new classes of nonlinear mappings (Chatterjea mapping, Condition (CC)) and studied basic properties, existence of fixed points and convergence theorems. We have given examples of nu-generalized metric spaces that do not have the compatible topology. Also we have proved that every 3-generalized metric space has the compatible topology. We have obtained a new sufficient and necessary condition for successive approximation.
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Report
(4 results)
Research Products
(22 results)
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[Presentation] The Brouwer fixed point theorem2013
Author(s)
Yukio Takeuchi; Tomonari Suzuki
Organizer
Twenty second International Conference of FIM (Forum for Interdisciplinary Mathematics) on Interdisciplinary Mathematics, Statistics and Computational Techniques
Place of Presentation
北九州国際会議場
Related Report
Invited
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