fixed-point theoremの例文

• Fixed - point theorems for first kind of expansion operators
• Fixed - point theorems in probabilistic n - meric space
• Banach fixed - point theorem and its randomization
• The eigenvalue and fixed - point theorem on near - algebra and banach algebra
• In this paper , to study fixed - point of compact metric space , and obtain one pair fixed - point theorems of expansion mapping and compression mapping . the results are improved in the papers [ 1 ] , [ 2 ]
• 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
• 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
• 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
• 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
• 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
• ( 1 ) the paper has studied the contractive mapping genetic algorithm , which can be converged to a global optimal solution proved by fixed - point theorem of banach space . it remedies the shortage of standard genetic algorithm . furthermore , the paper discusses the genetic operation in the algorithm such as the coding , select , cross over and mutation etc . it will be help to the next work about fusion with the neural network
• The second chapter sets forth the theorem basis of fractal image compression . by researching the property of iterate function system in metric space , two basic theorems are brought outthe fixed - point theorem of contract mapping and collage theorem . in the third chapter , fractal image compression method based on block partition is discussed and implemented
• The existence of global solutions on interval [ 0 , a ] ( a > 0 ) for the first order initial value problem of discontinuous equations in banach space ( 1 ) is discussed . the fixed - point theorem of t - monotone increasing operators and the partial - ordered method are applied to these problems . an existence result is obtained . the results extend the relevant conclusions in reference [ 7 ]