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
研究了一类t单调增算子,并给出了这类算子的一些不动点定理,改进了已有的有关结果。
In this paper, we studied a class of t monotone increasing operators and obtained some fixed point theorems, generalized and improved many known results.
研究了一个多值增算子的不动点问题,获得了几个存在性定理,所获结果推广了已知的结论。
Several fixed theorems for multivalued increasing operators are obtained, and the obtained results extend and improve the related known works in the literature.
利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性。
By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.
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