集映射算子和半光滑性

Set-valued Operator and Semismoothness

讨论n维空间C可微集映射算子,利用Rn的集映射算子来讨论函数的性质,并且把这思想应用于广义牛顿法.进一步讨论C可微集映射算子、半光滑、方向导数和连续性,以及它们之间关系.

This paper presents a discussion on the C-differentiable set-valued operator, and a study of the property of functions by using the set-valued operator. The paper also presents an analysis of the relationship among the C-differentiable set-valued operator, directionally differentiable, and Lipschits contionuous.