1) iterative routine
迭代例行程序
2) iterative process
迭代程序
1.
The purpose of this paper is to introduce the concept of Φ-Pseudo contractive type of mappings and to study the fixed points approximation problem of the Iskikawa iterative process for the single-valued Φ-Pseudo contractive mapping.
引入Φ-伪压缩型映象的概念,并研究单值Φ-伪压缩型映象不动点的Ishikawa迭代程序的逼近问题,而映象不必满足Lipschitz条件。
2.
We give two iterative processes for perturbations accretive operator.
给出两类扰动增生算子的迭代程序,并证明它们的收敛性。
3.
The existence of positive radial solution is proved for a class of generalized Gelfand problems on the unite ball when the nonlinear term is partly subject to an exponential function and the corresponding iterative process is also given.
在非线性项局部受控于指数函数时证明了一类广义Gelfand问题正径向解的存在性,同时给出了相应的迭代程序。
4) emplicity iteration process
显迭代程序
5) Ishikawa iteration procedures
Ishikawa迭代程序
1.
Without Lipschitz assumption in real uniformly smooth Banach space,by virtue of some analysis theory and Ishikawa iteration techniques,the stable results of the Ishikawa iteration procedures have been given for one class of contiuous and Φ-generalized pseudocontractive mapping with a bounded range.
在一致光滑Banach空间中,使用分析的基本理论和Ishikawa迭代技巧,在没有Lipschitzian假设的前提下,给出了某类具有值域有界的连续Φ广义伪压缩映射的Ishikawa迭代程序稳定性的一些结果,该结果改进和扩展了近期相关的结果。
2.
In uniformly smooth Banach space,the stable of the Ishikawa iteration procedures are researched for one class of nonLipschitz and Φstongly pseudocontractive operator,By virtue of supply the basis of structure and theory for further discussing stability of iteration procedures,the results improve and extened the recent corresponding results.
在一致光滑Banach空间中,研究一类非LipschitzΦ强伪压缩算子的Ishikawa迭代程度的稳定性;并使用分析技巧,证明了Ishikawa迭代程序是几乎T稳定的。
补充资料:迭代
迭代
iterate
迭代【ite口te;.什pa”11。] 重复应用某种数学运算的结果.这样,如果 y=f(x)三f,(x)是x的函数,则函数 fZ(x)=f[f;(x)」,…,f。(x)=f【f。一:(x)』顺次称为f(x)的二次,…,n次迭代(j记m记).例如,令f(x)=x‘,就得到 fZ(x)=(x“)一x·,, f。(x)=(x‘’一’)“=x““.指标”称为迭代的拳攀(Cxponent),而从f(‘)转移到fZ(x),f,(x),…也称为迭代(ite瑙如n).可以对某种函数类定义具有任意实指数甚至复指数的迭代.迭代用于通过迭代方法求解各种方程或方程组.详见序列逼近法(seq谬ntialappro劝na石on,兹心山记of).
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