1.(2) In part III, we consider a comparative problem of Reich Extension method and Douady-Earle Extension method. It is proved that under the same boundary value q5 on 3A, ifK is sufficiently small, the estimate of the maximal dilatation of Reich Extension is still smaller than the one of Douady-Earle Extension.
（2）在第三节，我们考虑Reich延拓方法和Douady-Earle延拓方法的比较问题、我们证明了：如果对αΔ到自身上的同胚映照φ同时进行Reich延拓和Douady-Earle延拓，则对充分小的Κ，Reich延拓最大特征的估计比Douady-Earle延拓最大特征的估计还小。
2.By the way,we give an af-firmative answer to a fixed point problem of Reich in the more general case.
同时,在更广泛的情形下,给出了关于Reich不动点问题的一个肯定性回答.
3.By defining some operators and studying their properties, we take nonlinear elliptic equation and nonlinear parabolic equation into consideration in which we make use of the related results on sums of ranges in Reich. Meanwhile, we establish the existence conditions of the above two equations, thus extending the related results in Pascali.
通过定义几种算子,对其性质加以研究,并利用了Reich的关于值域和的有关结果,研究了非线性椭圆型方程及非线性抛物型方程,推导出这两种方程的解的存在性条件,从而推广了Pascali的相关结果.
4.Edgar Reich introduced the notion of quasiconformal mappings with non-decreasable dilatations when studying the unique extremality of quasiconformal mappings.
在研究拟共形映射的唯一极值性时,Reich引入了具有不可缩伸缩商的拟共形映射的概念.
5.The Convergence of Modified Reich Iterative Sequences with Errors for Asymptotically Non-expansive Mappings
渐近非扩张映象的具误差的修正Reich迭代收敛性
6.In this paper,we establish the Mann iteration process with errors for nonexpansive mapping in uniformly convex Banach space,and generalize corresponding results of Reich to the Mann iteration process with errors.
本文首先在一致凸 Banach空间中对非扩张映射讨论了带误差的 Mann迭代过程的一些特性 . 然后将 Reich的相应定理推广到带误差的 Mann迭代过程 .
7.If {z t} converges strongly to some z∈F(T) as t →1-,then the Reich sequence {x n} converges to the fixed point z.
设zt 是St 的唯一不动点 ,若当t→ 1-时 ,{zt}强收敛于某点z∈F(T) . 那么 ,Reich序列 {xn}强收敛于某点z∈F(T) .
8.The astringency of Reich-Takahashi Iterator
Banach空间中有限族渐近非扩张映象的修正Reich-Takahashi迭代程序的收敛性
9.We discuss Reich′s fixed point theorem〔1〕 of a new contractive condition. Our results genralize corresponding theorems of 〔1〕.
在一个新的条件下讨论了 Reich′s不动点定理 ,所得结果推广了〔1〕中相应定理。
10.Strong convergence problem of the Reich-Takahashi iteration method in Banach spaces
Banach空间中Reich-Takahashi迭代法的强收敛问题
