1) Ishikawa iterative sequence
Ishikawa迭代序列
1.
It proves in a Banach space that Ishikawa iterative sequence strongly converges at the fixed point of strictly pseudocontractive mappings on arbitrary closed, convex sets.
在Banach空间中证明了Ishikawa迭代序列强收敛到任意闭凸集上严格伪压缩映象的不动点,并得到更为精确的收敛速率估计。
2.
Let T:K→K be a uniformly continuous φ_hemicontractive mapping with bounded codomain range,then the Ishikawa iterative sequence converges strongly to the unique fixed point of T .
由此可知 ,若T是 φ -强拟增生映象 ,则Ishikawa迭代序列强收敛到方程Tx =0的唯一解。
3.
We abtain the strong convergence theorem for Ishikawa iterative sequence of Lipschitz φ- strongly accretive operator.
在q(≥2)一致光滑Banach空间中得到了LipschitzΦ-强增生算子的Ishikawa迭代序列的强收敛定理。
2) 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。
3) Ishikawa iteration
Ishikawa迭代序列
1.
In convex metric spaces,we have proved that if C is a nonempty closed convex,the mapping T in some conditions will have a fixed point and Ishikawa iteration {xn} will converge to the fixed point of T.
在凸度量空间中,证明了非空闭凸子集C上的自映射T,在满足某种条件下不动点的存在性;同时研究了Ishikawa迭代序列{xn}在一定条件下收敛到映射T的不动点问题,文中的结果推广了相关作者的许多重要结果。
2.
Some equivalent conditions are obtained for the convergence of Mann teration,Ishikawa iteration with mixed errors and mann iteration with mixed errors for Lipschitz strongly pseudo-contractive mappings in Banach spaces.
给出并证明了Lipschitz强伪压缩算子的Mann迭代序列I、shikawa迭代序列及带混合误差的Ishikawa迭代序列收敛性的等价条件。
3.
We construct a new Ishikawa iteration process and prove approximating fixed point of asymptotically (?)-pseudocontractive mapping by using that processes.
通过构造Ishikawa迭代序列,研究了渐近(?)-伪压缩映像不动点的迭代收敛问题,所得的结果改进和发展了许多新近的结果。
4) Ishikawa iterative sequences
Ishikawa迭代序列
1.
Convergence of Ishikawa iterative sequences in uniformly convex Banach spaces;
一致凸Banach空间Ishikawa迭代序列收敛性
5) Ishikawa iterative process
Ishikawa迭代序列
1.
The problems on convergence of fixed point with Ishikawa iterative process for quasi-contractive mapping pair and generalized contractive mapping in Banach spaces are studied.
在一般Banach空间研究了拟压缩映射对和广义压缩映射的不动点的Ishikawa迭代序列的收敛性问题;在凸度量空间研究了拟压缩映射对的不动点的广义Ishikawa迭代序列的收敛性问题,所得结果推广和改进了已有文献中的相应结果。
6) Ishikawa and Mann iterative sequences
Ishikawa和Mann迭代序列
1.
A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points,Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.
证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点,介绍了Lips-chitz严格伪压缩映像下的的具误差的Ishikawa和Mann迭代序列并证明了其强收敛性于不动点,其结果把非扩张映像推广到Lipschitz严格伪压缩映象上,改进了一些相关结果。
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