1) top enhanced operator
![点击朗读](/dictall/images/read.gif)
顶端增强算子
1.
Genetic algorithm with top enhanced operator;
![点击朗读](/dictall/images/read.gif)
带有顶端增强算子的遗传算法
2) strongly incveasing operator
![点击朗读](/dictall/images/read.gif)
强增算子
4) strongly accretive operator
![点击朗读](/dictall/images/read.gif)
强增生算子
1.
Based on a set of weaker hypotheses, the convergence of the Ishikawa iteration with error is discussed for a class of nonlinear evolution equations involving Lipschitz strongly accretive operators or Lipschitz strictly pseudocontractive mappings.
研究了一类含Lipschitz强增生算子或Lipschitz严格伪压缩算子的非线性发展方程,在较弱的条件下,讨论了这类方程带误差的Ishikawa迭代法收敛性。
2.
The convergence theorems of slack iteration for solving strongly accretive operator equations are given in uniformly smooth space,and the selection of slack factor γ is discusse
在Lp空间及一致光滑空间中,给出了强增生算子的收敛性定理,讨论了松弛因子的选择。
3.
In uniformly smooth Banach space, we proved that Mann iterative sequence of a class of nonlinear strongly accretive operator satisfies inequality || Tx || ≤ C + || x || convergences strongly to the unique solution of Tx = f.
在一致光滑的Banach空间,证明了满足不等式‖Tx≤C+‖x‖的一类非线性强增生算子的Mann迭代序列强收敛于Tx=f的唯一解。
5) strongly increasing(decreasing) operator
![点击朗读](/dictall/images/read.gif)
强增(减)算子
1.
In this paper, we give the concept of multi valued strongly increasing(decreasing) operator in Banach spaces, and obtain some properties.
在由锥导出的半序Banach空间框架下,研究集值强增(减)算子的若干性质,所得结果是文[1,2]中相应结果的推
6) strongly accretive operators
![点击朗读](/dictall/images/read.gif)
强增生算子
1.
By using new approximating techniques,this paper deals with convergence problem concerning Ishikawa iteration process with errors for Lipschitzan strongly accretive operators in uniform smooth Banach spaces.
使用新的逼近技巧,研究了一致光滑的Banach空间中具有Lipschitz强增生算子的带误差项的Ishikawa迭代过程的收敛性问题。
2.
The general theorem on the Ishikawa iterative approximation with errors of fixed point for Lipschitz strongly pseudo-contractive operators and solution for Lipschitz strongly accretive operators is obtained in arbitrary real Banach spaces(permitting limn→∞α n≠0 or limn→∞β n≠0 ).
得到了任意实Banach空间中带误差的Ishikawa迭代程序逼近Lipschitz强伪压缩算子的不动点与Lipschitz强增生算子的方程解的一般性定理 (允许limn→∞αn≠ 0或limn→∞βn≠ 0 ) ,并用不同于通常的方法证明了任意实Banach空间中的Ishikawa迭代程序关于Lipschitz强伪压缩算子 (或强增生算子 )是稳定
补充资料:凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子,类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A,称为凹的(concave)(更确切地,在K上u。凹的),如果 l)对任何的非零元x任K,下面的不等式成立: a(x)u。(Ax续斑x)u。,这里u。是K的某个固定的非零元,以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。,al,月l>0,成立的x‘K,下面的关系成立二 A(tx))(l+,(x,t))tA(x),0
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参考词条