凸分析若干结果探讨

Study on Some Results in Convex Analysis

在实线性空间中引进了一类新广义凸集.讨论了它的一些性质,与之相联的Minkowski泛函与分离定理等.我们所得结果是经典凸分析中若干相应结果的推广,改进或等价表达.

A kind of new generalized convex sets in real linear spaces is introduced. Some properties, the Minkowski functions and separation theorems with respect to the generalized convex sets are discussed. Our results extended or improved the corresponding results in the classical convex analysis.