拟凸函数

第二章介绍了没有明确线性结构的P型空间。包括P型空间中的半凸集和凸集，P型空间中的凸函数和拟凸函数。

In Part two , we introduce the concept of P-spaces without imposing any explicitly stated linear structure and some notions in P-spaces including half convex sets , convex sets , convex functions and quasi-convex functions .

（h，φ）-严格拟凸函数及其性质

( h ,φ) - Strictly Quasiconvex Function and Its Properties

广义凸函数是凸函数的推广，它包括伪凸函数，拟凸函数和r凸函数等。

Generalized convex function is a generalization of convex func-tion , including pseudoconvex function , quasiconvex function , r-convex function , etc.

线性空间中s-orlicz拟凸函数的性质

Properties of s-orlicz convex functions in linear spaces

Avriel在文献[1]中指出r-凸函数必为拟凸函数，反之不然。

Avriel has pointed out that r-convex functions must be quasiconvex functions , but the converse stalement is not true in paper [ 9 ] .

求拟凸函数本质极小的均值算法的收敛性分析

Convergence Analysis of Mean Method for Solving Essential Minimum of Quasi-convex Function

本文所用的方法与所有结论，对拟凸函数也适用。

The method and all results can be applied to quasiconvex functions .

拟凸函数的连续性和可微性的讨论

Discussion on the Continuity and Differentiability of Quasi convex Functions

拟凸函数可行方向的一些结论

Some conclusions about the feasible directions of quasiconvex function

有关E-凸函数和E-拟凸函数的水平集

On level sets of E-convex function and E-quasiconvex function

提出了显拟凸函数的若干新性质。

Some new properties of explicitly quasiconvex functions are presented in this paper .

关于拟凸函数几种定义的讨论

A Discussion on some Definitions of Quasiconvex Function

拟凸函数局部极小的整体性质

Global Properties of Local Minima of Quasiconvex Functions

关于半连续性与拟凸函数的注记

Some Remarks on Semicontinuity and Quasiconvex Functions

弧式拟凸函数的定义及性质

Definition of Arcwise Quasiconvex Function and Property

拟凸函数的一些性质

Some properties of quasiconvex functions

本文讨论了将凸函数的几个性质推广到拟凸函数的情形。

In this paper , several properties of convex function are generalized to the case of quasi convex function .

在文献[1]中，作者在一定条件下证明了可微的伪凸函数是拟凸函数，也是半严格拟凸函数。

The author has proved that the differentiable pseudoconvex functions must be semi-strictly quasiconvex functions under certain condition in [ 1 ] .

指出相关文献中讨论E-拟凸函数及其性质时出现的一些错误，并作了相应的更正。

Some errors that come from the related literatures were pointed out and corrected , and some properties and determinant criterion of E-quasiconvex functions were provided .

在本文中，作者证明了闭的弱近似凸集是凸集，并用此结论获得了拟凸函数的一些等价条件。

The author proves that a closed weakly nearly convex set is convex , and some equivalent conditions for quasiconvex functions are obtained by applying the results .

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 .

七种锥拟凸向量函数间的关系

The relations of seven kinds of cone quasiconvex vector functions

E凸函数、半E凸函数、拟半E凸函数及伪半E凸函数都是对凸函数的推广，即它们都是广义的凸函数。

E-convex function , semi - E-convex function , quasi-semi - E-convex function and pseudo-semi - E-convex function are all the generations of convex function , i. e , generalized convex functions .

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 .

关于（F，ρ）-不变拟凸及伪凸函数条件下（VFP）的充要条件

The Sufficient and Necessary Conditions of the ( VFP ) for ( F ,ρ) - Invariant Quasiconvex and Pseudoconvex Functions

T-对角拟凸（凹）函数及其在鞍点和变分不等式问题中的应用

T-diagonally quasi-convex ( concave ) functions with applications to the problems of saddle points and variational inequalities