| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In this research, we study nonlinear functional analysis and nonlinear problems by using fixed point theory and convex analysis. We introduced the concepts of common attractive points of families of nonlinear mappings and acute points of nonlinear mappings. We proved the basic theorems concerned with the concepts. Further, we prove nonlinear ergodic theorems for semigroups of nonlinear mappings without convexity by using the concepts of common atractive points of the semigroups. We also proved weak and strong convergence theorems for nonlinear mappings by using the concepts of acute points. Using these theorems, we studied important nonlinear problems.
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