frechet meaning in Chinese
弗雷谢
Examples
- In chapter 2 , we present a family of iterative method with the convergence of order three . the family of iterative methods avoid evaluating the second frechet derivative
第二章，提出了一族具有三阶收敛迭代法，这族迭代法避免了求f ( x )的二阶导数。 - Some inaccurated definitions and properties in text [ 1 , 2 ] are introduced and reformed . the definition of infinite space , cover frechet ( v ) spaces , net cover spaces and their property are discussed
摘要指出了文献[ 1 , 2 ]对邻域空间等的定义存在的问题并进行了修正，给出了无限空间、盖邻空间、网盖空间的定义，并且讨论了它们的一些性质。 - In chapter 2 , we discuss lipschitz condition which is satisfied by the second frechet - derivative of operator through the use of recurrence relations , so as to make it meaningful in general and get the convergence theorem
第二章，通过运用递归技巧，对算子的二阶fr chet导数满足的lipschitz条件进行讨论，以使其在一般情况下有意义，并得到newton法的收敛性定理。 - In the third chapter , we derive a new family of deformed halley methods without the evaluation of the second frechet - derivative to approximate the roots of nondifferentiable equations in banach space . we also provided a existence - uniqueness theorem and a new system of recurrence relations
在第三章中，构造了一族避免二阶fre chet导数的修正halley迭代，用其去逼近banach空间中非线性算子方程的解，同时给出了存在唯一性定理和一种新型的递归关系。 - Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces . takahashi and zhang [ 3 ] , tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces . recently , reich [ 6 ] , bruck [ 5 ] , oka [ 7 ] gave the ergodic convergence theorems for nonexpansive , asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm . li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space , which is a great breakthrough
Baillon [ 1 ]首先在hilbert空间的非空凸闭子集上给出了非扩张映照的弱遍历收敛定理。 baillon的定理引起了很多数学家的兴趣， reich [ 2 ]在hilbert空间中证明了非扩张半群的遍历收敛定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分别将baillon的定理推广到渐近非扩张半群及渐近非扩张型半群。