1) iterative sequence
迭代序列
1.
Strong convergence of Reich-Takahashi iterative sequence for asymptotically pseudo-contractive mapping;
渐近伪压缩映像的Reich-Takahashi迭代序列的强收敛性
2.
Strong convergence of some iterative sequences for asymptotically nonexpansive mappings in Banach spances;
Banach空间中渐近非扩张映象迭代序列的强收敛性
3.
Aim\ The convergence of Mann iterative sequences of real functions defined on unbounded convex domain is discussed.
目的 讨论无界闭凸区域上的实函数的 Mann迭代序列的收敛性 。
2) iteration sequence
迭代序列
1.
For a lot of nonlinear mappings,the fixed points can be approximated by iteration sequence {xn}.
设E是Hilbert空间,T是E中具非空不动点集F(T)的非线性映象,许多非线性映像的多种形式的迭代序列{xn}可逼近映像T的不动点p0∈F(T)。
2.
Convergence of Ishikawa iteration sequence for setvalued nonexpansive mapping are discussed in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.
讨论了集值非扩张映象在一致凸Banach空间中Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是曾六川等的推广和发展。
3.
This article will set up an iteration sequence and extent its results to a more comprehensive mapping-semi-compact 1-set mapping.
本文建立了一迭代序列,将其结果推广到更广泛的一类映射———半紧1-集映射,并削弱了紧性和全连续的条件,得到了乘积空间中的极小、极大耦合不动点定理。
3) Picard iteration sequence
Picard迭代序列
1.
In this paper,it is shown that the convergence of Picard iteration sequence is equivalent to Mann iteration sequence,and the convergence of Mann iteration sequence is equivalent to Ishikawa iteration sequence for Zamfirescu operators in an arbitrary Banach space.
在适当放宽不动点定理的条件下,分别证明了Picard迭代序列与Mann迭代序列收敛定理的等价性以及Mann迭代序列与Ishikawa迭代序列收敛定理的等价性。
4) Mann iteration sequence
Mann迭代序列
1.
In this paper,it is shown that the convergence of Picard iteration sequence is equivalent to Mann iteration sequence,and the convergence of Mann iteration sequence is equivalent to Ishikawa iteration sequence for Zamfirescu operators in an arbitrary Banach space.
在适当放宽不动点定理的条件下,分别证明了Picard迭代序列与Mann迭代序列收敛定理的等价性以及Mann迭代序列与Ishikawa迭代序列收敛定理的等价性。
2.
Based on Kikkawa and Takahashi iteration method,the Mann iteration sequence is introduced to revise them by using Hybrid projection method.
在Kikkawa和Takahashi的迭代算法基础上,引入了Mann迭代序列。
3.
In the present paper,by virture of the new inequality and the new approximation methods, we prove some new convergence theorems of the Ishikawa and Mann iteration sequences for strongly accretive and strongly pseudo-contractive operators in Banach spaces.
用新的不等式及新的逼近方法证明了Banach空间中强增生和强伪压缩算子Ishikawa和Mann迭代序列的若干收敛定理。
5) Ishikawa iteration sequence
Ishikawa迭代序列
1.
In this paper,it is shown that the convergence of Picard iteration sequence is equivalent to Mann iteration sequence,and the convergence of Mann iteration sequence is equivalent to Ishikawa iteration sequence for Zamfirescu operators in an arbitrary Banach space.
在适当放宽不动点定理的条件下,分别证明了Picard迭代序列与Mann迭代序列收敛定理的等价性以及Mann迭代序列与Ishikawa迭代序列收敛定理的等价性。
2.
In arbitrary Banach spaces,it is shown that the convergence of Mann iteration is equivalent to Noor iteration sequence,and the convergence of Mann iteration is equivalent to Ishikawa iteration sequence for generalized-contractive mappings.
对任意实Banach空间中的广义Φ-压缩映射分别证明了Mann迭代序列与Noor迭代序列收敛的等价性以及Mann迭代序列与Ishikawa迭代序列收敛的等价性,所得的结果是2005年S。
6) implicit iteration process
隐迭代序列
1.
The necessary and sufficient condition of strong convergence of the implicit iteration process for a finite family of nonexpansive mappings is proved.
在一致凸Banach空间中,提出了一类新的两步隐迭代序列,证明了此序列收敛到有限族渐近非扩张映象的公共不动点的充要条件。
补充资料：层层迭迭
1.见"层层迭迭"。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条