几个较弱的凸(凹)性概念及其应用

Some Weaker Concepts of Convexity With Applications

本文引进了广义 f-γ拟凸(凹)等几个较弱的凸(凹)性概念,讨论了这些概念与 KKM 映象的关系,作为应用,给出了两个极大极小不等式,一个鞍点定理和一个拟变分不等式解的存在性定理。

The purpose of this-paper is to introduce some weaker concepts of conve- xity(concavity),such as f-γ-quasi concavity(convexity)etc.As an app- lication,we utilize the concepts and results to obtain two minimax inequ- alities,a saddle point theorem and an existence theorem for a class of quasi- variatonal inequalities.