迭代序列

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

In chapter 4, in the frame of partially ordered F-type topological space, we research the existence of the solution of a nonlinear operator equation Lx = Nx, and the convergence of the iterative sequence {u_n} which satisfies Lu_(n+1)= Nu_n for a solution of the equation. Then, we give the conditions for multiplicity of the solutions of this operator equation.

第四章，在半序F-型拓扑空间框架下研究一类非线性算子方程Lx=Nx解的存在性，以及满足Lu_(n+1)=Nu_n的迭代序列{u_n}对于方程解的收敛性，并给出这类算子方程具有多解性的条件。

We prove the strong con-vergence of the methods, that is, if the methods do not terminate in finite iterations,then every limit point of the sequence generated by the methods is a stationary pointof the primal problem.

本论文证明了所给算法具有强收敛性，即若算法不是有限步终止，则算法产生的迭代序列的所有极限点都是原问题的稳定点。

The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. The asymptotic behavior of solutions is given.

利用上、下解方法及相应的单调迭代序列研究具有时滞的耦合半线性抛物方程组的动力学行为，给出了解的渐近性质。

Under the strict complementaritycondition at the accumalation points of the sequence of iterations, the global convergenceof the algorithm is proved.

由此建立了一种基于SQP方法的新算法，且在迭代序列的聚点满足非退化假设条件下，获得了算法的全局收敛性。

It is shown that these two sequences converge monotonically to a unique solution of the finite difference system.

给出一类求解具时滞边界条件的时滞反应扩散方程的数值方法，证明了迭代序列的单调收敛性以及差分格式的收敛

Based on some results given by K Tan and H K Xu[1] proved, the convergence of three-step iterations of uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.

引入一致李普希兹的概念，然后在一些已有结果的基础上，证明一致凸Banach空间的紧子集上的一致李普希兹渐进非扩张映射的三步迭代序列的收敛问题。

A new iterative algorithm to compute the approximate solutions of the generalized mixed vari...

最后，给出了这个新算法所产生的迭代序列的收敛准则，还讨论了该领域中的一些已知结果。

Contrast source inversion algorithm recasts the inversion problem as a minimization of a cost functional, thus an iterative sequence is formed to reconstruct the contrast sources and contrasts.

对比源反演算法将反演问题转化为求解成本泛函的极小值问题，从而形成重构对比源和对比度的迭代序列。

By using the cone theory and the coupling upper and lower solution method, it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法，研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性，并给出了迭代序列收敛於解的误差估计，所得结果改进和推广了混合单调算子方程的某些已知相应结果。

In her eyes, because that is the doorway toher heart * the place where love resides.

女人的漂亮必須從她的眼睛中去看，因為那是她心靈的窗戶和愛居住的地方

I will send some postcards to you.

我会向你发送一些明信片。