Nonlinear Analysis and Convex Analysis by fixed point theory and its Application to Equilibrium problems and Nonlinear Optimization
| Project/Area Number |
22540120
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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 | University of Yamanashi |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
HIRANO Norimichi 横浜国立大学, 環境情報研究院, 教授 (80134815)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 不動点 / 凸解析 / 最適化問題 / 均衡問題 / 非拡大写像 / 非拡大半群 / イタレーション / 収束 / attractive point / ハイブリッド写像 |
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| Research Abstract |
In this study, we obtain many new and important theorems for nonlinear problems in nonlinear analysis and convex analysis by using fixed point theory. For example, we studied common attractive points and proved nonlinear ergodic theorems for nonexpansive semigroups without convexity. And, we proved strong convergence to common attractive points of nonexpansive semigroups. Further, we proved strong convergence theorems for uniformly asymptotically regular nonexpansive semigroup in Banach spaces by Halpern type and Browder type iterations.
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Report
(5 results)
Research Products
(85 results)
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[Journal Article] あるハイブリッドタイプの点列と非拡大写像の不動点の存在について2010
Author(s)
Sachiko Atsusbiba
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Journal Title
非加法性の数理と情報:凸解析との接点(Information and mathematics of no-additivity and non-extensivity.:contacts with convex analysis),RIMS kokyuraku
Volume: No.1683
Pages: 78-83
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