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.
用集合的近似凸性研究函数的拟凸性。
Quasiconvex functions are studied by applying nearly convexity of sets.
本文作者研究拟凸域上的-方程解关于参数的解析依赖性。
In this article we study the analyticity dependence on the parameter of solutions to the equation on pseudoconvex domains.
一是函数的拟凸性、伪凸性及其次微分的拟单调性、伪单调性；
One is quasi-convexity and pseudo convexity of functions and quasimonotonicity and pseu-domonotonicity of their sub differentials .
文中介绍了严有效解的概念，研究了锥—连续拟凸映射的严有效解的连通性。
In this paper a new concept, the strictly efficient solution, is introduced, the Cone-continuous convex map and the connectedness of the set of strictly efficient solution, are studied further.
用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。
Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.
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.
本文提出了中点拟凸函数的概念，在可测函数空间中，给出了中点拟凸函数拟凸的若干个充分条件。
The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.
在此基础上，得到了向量目标函数既是似凸又是拟凸的多目标最优化问题的G-恰当有效解集是连通的结论。
On the conditions that vector objective function is like-convex and quasi-convex, we obtain the connectedness of G-proper efficient solution set of the multiobjective optimization problem.
基于模糊数空间的一种新的序关系，给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理，并讨论了它们的关系。
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed.
锥拟凸向量函数的概念是通常实值函数拟凸性的拓广。 由于拓广途径不一，在许多有关文献中各自提出了自己的锥拟凸向量函数概念。
This paper summarizes several different definitions of cone quasiconvex vector functions proposed in different literatures and discusses the relations among them.
借助于这些集合和函数的定义思想，本文定义了E-凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。
In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。
As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained.
如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。
As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained.
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