在L -凸空间中建立了新的极大元定理。
In this paper, new existence theorems for maximal elements are established in L-convex Spaces.
复一致凸空间是比复严格凸空间更强的空间。
The complex uniform convex space is stronger than the complex strict convex space.
本文给出在完备度量凸空间上非自映射的一类新的不动点定理。
In this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.
在L -凸空间中，证明了定性博弈和广义博弈的均衡存在定理。
We obtain equilibrium existence theorem of generalized games in L-convex space, where the preference correspondence is L_S-majorized mapping.
本文在局部凸空间中对集值映射最优化问题引入超有效解的概念。
In this paper, we introduce a concept of super efficient solution of the optimization problem for a set-valued mapping.
在局部凸空间上利用严有效性的纯量化特征，研究严有效点的截口性质及稠密性质。
Using scalar characterization of a strictly efficient point in Locally convene Spaces, we study the section property and the density of strictly efficiency.
凸空间中的KK M型定理，有上下界的平衡问题，极大元，重合点定理及其应用。
KKM Type Theorems, Equilibrium Problems with Lower and Upper Bounds, Maximal Elements, Coincidence Theorems with their Applications in the G-convex Spaces.
本文进一步研究了严格凸空间的性质，并给出了等距算子为线性算子的一个充分条件。
In this paper the properties of the strictly convex space are studied further. In the time this paper further gives a sufficient condition that isometric operator is linear operator.
通过对局部凸空间中局部收敛与局部连续的讨论，给出了C -局部序列空间的一些新的充分必要条件。
By discussing the local convergence and local continuous in locally convex Spaces, some new sufficient and essential conditions are given on C-locally sequential Spaces.
本文在G -凸空间和乘积g -凸空间内研究了KKM原理及其变形，给出了对极大极小不等式的应用。
In this paper, the KKM principle and its variation are studied in the G -convex Spaces and the product space of the G -convex Spaces. As application, some new minimax inequalities are obtained.
最后，在较弱的假设条件下，讨论了G -凸空间中的重合点组定理与极大极小组定理，从而推广了近期文献的相关结论。
At last, we establish systems of coincidence theorem and system of minimax theorems in G-convex under weaker assumptions. Our results generalize the corresponding results in recent literature.
在第二章中，我们运用一个连续选择定理证明了L -凸空间中的一个非空交定理。作为应用，我们得到了一些极大极小不等式。
In chapter two, we prove a nonempty intersection theorem in L-convex space by using a continuous selection theorem. As applications, some minimax inequalities are obtained.
我们介绍了超凸度量空间中对角拟凸和拟凹的概念。
We introduce concepts of diagonal quasi-convexity and quasi-concavity in hyperconvex metric spaces.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
本文的主要目的是在不具任何凸结构的一般拓扑空间中研究KKM理论及其应用。
This paper is aimed to study the KKM theory and its applications in general topological Spaces without any convexity structure.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。
The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.
第二章，利用广义r - KKM映射，在不具任何凸结构的一般拓扑空间中证明了一个新的关于容许集值映射的叠合定理。
In the second chapter, by using generalized R-KKM mappings, we obtain a new coincidence theorem for admissible set-valued mappings in topological Spaces without any convexity structure.
本文用某种同伦方法，借助于一些适当的变换，讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。
Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method.
本文提出了强锐角锥的概念，并就无限维空间证明了一个凸锥为强锐角锥的必要充分条件。
In this paper, the concept of strong acute cone is introduced, and the necessary and sufficient condition for existing such cone in a infinite dimensional space is obtained.
对一族定义在局部广义凸一致空间的乘积空间上的集值映射，给出了一个集族不动点定理。
A collectively fixed point theorem for a family of set-valued mappings defined on a product space of locally generalized convex uniform Spaces is first proved.
无穷维空间的凸微分分析的研究已有近七十年的历史。
The convex differential analysis in infinite-dimensional spaces has been studied almost seventy years.
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.
本文对于2 -距离空间引入了凸结构的概念，并由此得到一类非扩张映象的不动点存在定理。
In this paper we present a convex structure for 2-metric Spaces, and from this we get a fixed point theorem for a kind of nonexpansive mappings.
本文证明了完备的一致凸的度量线性空间是自反的。
In this paper it is proved that uniform convexity metric linear Spaces with completeness are reflexive.
本文主要给出了刻画一致凸的2—范空间的特征。
This article mainly discussed the problem about the characterization of Uniformly convex 2-normed Spaces.
本文证明了一致凸线性距离空间存在唯一的最佳联合逼近元。
In this paper, it is proved that in the uniform convexity linear metric space there exists a unique best simultaneous approximation element.
许多具有抽象凸结构的拓扑空间都是FC-空间。
Many topological spaces with abstract convexity structure are all FC-spaces.
许多具有抽象凸结构的拓扑空间都是FC-空间。
Many topological spaces with abstract convexity structure are all FC-spaces.
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