1) generalized Ishikawa iterative process
广义Ishikawa迭代序列
3) 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。
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 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。
6) 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。
补充资料：广义序列
广义序列
generalized sequence
广义序列【脚此扭血曰然卜.捉;。aupa助e。“oeT‘l，网(net) 把一个有向集(di正d司set)A映人一个(拓扑)空间X的映射，即是一个对应关系，使得对于每个立6A都有一个x。eX与之相应.拓扑空间X中的广义序列王x二::任A，簇}在x中收敛于点x任x(有时附上“关于有向序(di.比习。找ler)摇”)，如果对x的每个邻域口，，存在吞〔A，使得当刀延:任A时凡任q.这就是Moore一S而th咚擎(Moore一骊th conVer罗nCe)的概念(汇3】)(较之基于滤子(用加r)概念的收敛，这种收敛性似乎更符合直观的思维).广义序列可尽用来刻画分离公理(sePalation~m)，各种紧性(comPactne骆)性以及诸如紧化(山几甲即tifi伪tion)的种种构造. 通常的序列是广义序列的特殊情形，这时A是自然数集.【补注】“广义序列”的说法在西方几乎不用，通常使用的术语是“网”(心)(有向集(dj化伪目set)).应该指出，序列并不总是足以刻画上述种种拓扑性质，在这种意义下网的概念是必不可少的. 胡师度、白苏华译
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