序拓扑

研究了MV代数的区间拓扑和序拓扑及MV代数下的拓扑紧性、连结性、完备性和全序性。

This paper researched the interval topology and order topology of MV algebra as well as the tightness , connectedness , completeness and the total-orderness of MV algebra .

格的序拓扑比开区间拓扑粗；

The order topology is coarser than the open interval topology in a lattice .

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 ;

序拓扑空间上的KYFAN不等式

Ky Fan inequality on topological ordered spaces

本文中，在序拓扑空间框架下，我们得到了广义KYFAN不等式，KYFAN截口定理等非线性分析中的重要定理。

In this paper , we obtain the generalized Ky Fan inequality , Ky Fan section theorem etc in topological ordered spaces .

距序拓扑指数与烷烃及其衍生物沸点的QSPR研究

Study on the quantitative structure-property relationships of boiling points for alkanes and their derivates with topological indices of distance ordinal number

基于Horvath关于序拓扑空间中所给出的拓扑半格的框架结构，利用拓扑半格中的不动点定理，给出了序拓扑空间中的n-非合作广义对策Nash平衡点的存在性定理。

Based on the results which were proved by Horvath in topological ordered spaces , using the fixed point theorem in topological semilattices , we prove the existence of Nash equilibrium points for n-person non-cooperative generic game in topological ordered spaces .

线性序拓扑空间上不稳定流形的映射性质

Features of Mapping of a Unstable Manifold on Linear Ordered Topological Space

线性序拓扑空间中的子空间与子序空间

Subspace of Linear Ordered Topological Space and Sub-ordered Space

序拓扑空间中的耦合不动点结果及其对抽象微分方程的应用

Coupled Fixed Point Results in Ordered Topological Spaces with Applications to Abstract Differential Equations

最后证明了良序集和实数集合具有序拓扑遗传性。

Finally we prove that well-ordered set and real set both have ordered topological hereditary .

本文得到半序拓扑空间中某些不连续混合单调映射耦合不动点的存在性。

Abstract In this paper , we give the existence theorems of coupled fixed points on discontinuous mixed monotone mapping in ordered topological spaces .

LF线性序网拓扑空间

LF linearly Ordered Net Topology Space

LF线性序网拓扑空间是不分明线性序网拓扑空间的推广。

These concepts are a generalization of fuzzy linearly ordered base topology space and fuzzy linearly ordered net topology space .

Dcpo上的辅助序与拓扑

The auxiliary relation of Dcpo and topology

本文引入了LF线性序网拓扑空间，并讨论了LF线性序基拓扑空间与LF线性序网拓扑空间的初步性质。

In this paper , we introduce the concept of LF linearly ordered net topology space . The fundamental properties of the LF linearly ordered base topology space and the LF linearly ordered net topology space are presented .

序线性拓扑空间中非凸非光滑向量极值问题的真有效解

Properly Efficient Solutions for Nonconvex Nonsmooth Vector Extremal Problems in Ordered Linear Topological Spaces

在此基础上，证明半序F型拓扑空间中增映射的几个不动点定理。

On such a basis , we prove some fixed point theorems of increasing mappings in ordered F-type topological spaces .

半序局部凸拓扑向量空间中的紧连续映射及不动点定理

A Compact Continuous Map and Fixed Point Theorems of Semi-Ordered Locally Convex Topological Vector Space

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 .

数学母结构通常说只有代数结构、序结构和拓扑结构；

It is widely considered that mathematical parent structures include algebra structure , sequence structure and topological structure . Compared the actuality of the structure of th Using AFS algebra and AFS structure , any human ordinary fuzzy concept can be represented .

φ-辅助序与F-型拓扑空间中增映射的不动点定理

φ - Auxilliary Order and Fixed Point Theorems of Increasing Mapping in F-Type Topological Space

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 .