fixed-point theoremの例文

例文

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1. Therefore debreu won the nobel economics prize in 1983 , debreu proved the walras compete competition equilibrium exist theorem by fixed - point theorem of set - valued mapping
2. The main idea is to find an ifs which consists of a set of contractive affine transformations mainly based on fixed - point theorem and collage theorem , when they are applied on the original image , the union of the transformed images will cover up the original image
3. Certain topics which might properly not be regarded as part of “ convex analysis ” , such as fixed - point theorems , have been omitted , not because they lack charm or applications , but because they would have required technical developments somewhat outside the mainstream of the rest of the book
4. Fractal image compression is based on the fixed - point theorem and the collage theorem proposed by m . barnsley in 1988 . in chapter three the extend collage theorem is presented which gives the control expression of the hausdorff distance between two iterated images
5. In this paper , we analyze difference solutions of the burgers - kdv type equations with the periodic boundary condition by use of functional analysis method . the existence of difference solutions is proved by fixed - point theorem and the priori estimates of the difference solution are obtained using interpolation formula of sobolev space . the convergence and stability are proved