本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。
The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
文中给出了导集算子的概念，并在EX上引入了模糊导集算子的概念，研究了其性质，讨论了它们与拓扑间的关系。
This paper defines the concept of derived set operator, introduces the concept of fuzzy derived set operator in EX, studies their properties and discusses their relations to topology.
给出了某类六阶非对称微分算子在一些合适拓扑下关于复参数的几个线性同构定理。
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters.
该方法建立基于标签的空间拓扑算子的计算，进行几何体空间关系的判断与合并，实现空间数据的多比例尺表达与显示。
The method computes topological operator based on label, verdicts and merges the spatial relationship of geometric, expresses and displays the multi-scale of spatial data.
利用覆盖空间，得到了粗糙集和拓扑中更深刻的性质，从算子论和集合论的角度丰富和深化了粗糙集与拓扑的内容。
Furthermore the deeper properties of rough sets and topology are achieved by covering Spaces, and rough sets theory and topology have been enriched from the operator-oriented and set-oriented views.
本文应用遗传算法，采用基于“链码”的编码方式和数学形态学的变异算子，设计了一种连续体结构拓扑优化的新方法。
A novel algorithm for topology optimization of continuum structures has been designed on the basis of "chain-code" encoding and mathematical morphologic operators.
该定义对研究拓扑空间中线性算子的拓扑内逆具有重要意义。
And this definition is very important for us to study the topological inner inverse for a linear operator in a topological Spaces.
最后给出的两个实例，表明分子格上强导元算子与一般拓扑学及不分明拓扑学中相应概念的关系和区别。
Then, by the aid of them, some descriptions of equivalence for complementary topology on Molecular Lattice are obtained.
考虑权为常数的单边加权移位算子，利用相似性的一个结果，给出了这类算子的完全拓扑共轭分类。
The present paper deals with the condition for a backward operator weighted shift to be Cowen Douglas operator.
考虑权为常数的单边加权移位算子，利用相似性的一个结果，给出了这类算子的完全拓扑共轭分类。
The present paper deals with the condition for a backward operator weighted shift to be Cowen Douglas operator.
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