| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
In this research, we deal with some nonlinear problems including fixed point problems and equilibrium problems, which are strongly connected to convex analysis, and consider the existence and approximation of the solutions to these problems. We focus our interest in the class of mappings which includes the resolvents of monotone operators and nonexpansive mappings and obtain some results concerning the relation between the boundedness of approximate sequences and the existence of the solution, and the convergence properties of the iterative schemes.
We also consider the iterative schemes of the operators defined on complete geodesic spaces. In particular, we obtain several considerable results for the space having a curvature bounded above by a positive number. Further we obtain some important results about the convergence properties of the schemes with errors related to the computer simulation.
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