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.
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 .
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.
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