1) Monotone iterative sequence
单调迭代序列
2) 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 。
3) 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。
4) monotone iteration
单调迭代
1.
First,we constructed a pair of appropriate upper and lower solutions,and then we proved the existence of the traveling wave solutions between two equilibria of the system by using the monotone iteration approach.
构造了一对合适的上下解,利用单调迭代方法证明了模型的两个平衡点之间行波解的存在性,进一步丰富了单调方法的内容。
2.
This paper is devoted to investigate a kind of lattice Nicholson s blowflies model with delay,and prove the existence of traveling wavefronts by upper-lower solution and monotone iteration technique.
考虑了一类具有时滞的格散N icholson苍蝇模型,并利用上下解和单调迭代技巧证明了此方程波前解的存在性。
3.
It is shown that the system exist monotone traveling wave solutions by using monotone iteration with upper and lower solutions provided wave speed satisfies some conditions.
研究一维离散的神经网络细胞模型,其输出函数是非线性的且其信息反馈具时滞,通过构造方程的上、下解,采用单调迭代准则得到当系统的波速c满足一定条件时存在单调行波解。
5) monotone iterative
单调迭代
1.
The method of upper and lower solutions and the monotone iterative technique are used.
研究一类四阶微分方程解的存在性,利用上下解及单调迭代的方法,得出这类四阶方程的最大解和最小解的存在。
2.
By using cone theorem and monotone iterative method, the mixed monotone condition in A(x,y)+Mx in Banach spaces is extended.
在实Banach空间中,利用锥理论和单调迭代方法,推广了A(x,y)+Mx中混合单调条件,用A(x,y)+Tx来代替以往的混合单调性。
3.
It obtains the existence results by using the monotone iterative method of lower and upper solutions and improves the results.
通过上下解的单调迭代方法,讨论了四阶常微分方程u(4)(t)=f(t,u,u′,u″,u),t∈[0,1],u(0)=u′(1)=u″(0)=u(1)=0,的边值问题,获得了解的存在性结果,推广了已有的结果。
6) monotone iterative technique
单调迭代
1.
In this paper,the monotone iterative technique for periodic boundary value problems with causal operators is developed.
用单调迭代方法研究一类带因果算子的周期边值问题。
2.
The existence of solutions and coupled minimal and maximal quasi-solutions of nonlinear Volterra impulsive integral equations in ordered Banach spaces is given by monotone iterative technique under G(t,s,x) and I_k(k=1,2,…,m) without monotone conditions.
利用单调迭代技巧在序Banach空间不包含任何单调性质的情况下,得到有关非线性Volterra型脉冲积分方程的解及最大最小拟解对的新的存在性定理。
3.
Under the compact type condition,a comparision theorem and monotone iterative techniques are founded on ,+∞) by using the theory of noncompactness measure and upper and lower solutions method,three existence results of global solutions are obtained for a initial value problem of ordinary differential equation in Banach spaces.
在紧型条件下,利用非紧性测度的性质和上下解方法,在[0,+∞)上建立了比较定理和单调迭代法,得到了一类常微分方程初值问题在[0,+∞)上整体解的3个存在性结果。
补充资料：单调序列
单调序列
monotone sequence
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