在序线性拓扑空间中定义了广义凸集值映射。
In this paper, firstly the concept of generalized convex set-valued map is defined in ordered linear topological Spaces.
目的研究线性拓扑空间中紧集端点存在性问题。
Aim to study the existence of the extreme points of a compact set in linear topological space.
在线性拓扑空间中，定义了-广义锥凸集值映射的概念。
The concept of -generalized convex set-valued map is defined in linear topological space.
在局部凸线性拓扑空间中引入可凹点的概念，并讨论其性质。
This paper introduces the notion of denting points in locally convex spaces and discusses its properties.
本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
本文改进了锥映射正不动点定理，并且，推广到实线性拓扑空间。
This paper improves the positive fixed theorem for cone mapping and extends it to real linear topological Spaces.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
The concept of closed fuzzy set is introduced in topological linear space. It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
通过一种具有普遍意义的方法，在线性拓扑空间中获得一个新的广义平衡问题解的存在性定理。
By using a universal method a new existence theorem of solution for a generalized equilibrium problem in topological vector space is obtained.
在局部凸线性拓扑空间引入弱一致凸和局部弱一致凸的概念，并给出该空间上的几个弱凸性质。
The paper introduces the concept of weak consistent raised and the partial weak consistent raised in the partial facet topological space, and produces several weak raised nature in the space.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
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.
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.
主要结果有：给出了F空间判定的必要条件； 得到了线性序拓扑空间中的F子空间的刻画；
The following results are given: A necessary condition of F space and a character of F subspace in linear order space;
主要结果有：给出了F空间判定的必要条件； 得到了线性序拓扑空间中的F子空间的刻画；
The following results are given: A necessary condition of F space and a character of F subspace in linear order space;
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