Let X be a partially ordered topological space,M = u0, v0) be a given ordered interval of X. Suppose A : M --> 2~M is an ordered close strongly increasing operator and any monotone sequence of M has limit.
A:M→2~M为序闭的强增算子,且M中的任一单调序列有极限,则A在M中必有最小与最大不动点。
参考来源 - 几类集值算子的探讨·2,447,543篇论文数据，部分数据来源于NoteExpress
In this paper we introduce the concept of complex generalized monotone sequence and point out that it is a generalization of concept of complex quasi-monotone sequence.
本文引进复广义单调序列的概念，指出它是文中复拟单调序列概念的一个推广。
This paper indicated that the sequence of approximate value of eigenvalue is monotone convergent in the iteration process of matrix iteration method. And also gave examples.
本文指出，在矩阵迭代法的迭代过程中，特征值近似值序列是单调收敛的，并给出计算实例。
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