全球智库信息集成服务系统(G2TT): The Space of Star-Shaped Sets and Its Applications in Nonsmooth Optimization.

G2TT

来源类型	Monograph (IIASA Collaborative Paper)
规范类型	论文
	The Space of Star-Shaped Sets and Its Applications in Nonsmooth Optimization.
	Rubinov AM; Yagubov AA
发表日期	1984
出版者	IIASA, Laxenburg, Austria: CP-84-029
出版年	1984
语种	英语
摘要	The study of quasidifferentiable functions is based on the properties of the space of convex sets. One very important concept in convex analysis is that of the gauge of a set. However, the definition of a gauge does not require convexity, and therefore the notion of a gauge can be extended beyond convex sets to a much wider class of sets. In this paper the authors develop a theory of gauge functions and study some properties of star-shaped sets. The results are then used to study nonsmooth extremal problems (of which problems involving quasidifferentiable functions represent a special class).
主题	System and Decision Sciences - Core (SDS)
关键词	gauge star-shaped sets positively homogeneous functions directional derivatives nonsmooth optimization quasidifferentiable functions necessary conditions
URL	http://pure.iiasa.ac.at/id/eprint/2548/
来源智库	International Institute for Applied Systems Analysis (Austria)
资源类型	智库出版物
条目标识符	http://119.78.100.153/handle/2XGU8XDN/122932
推荐引用方式 GB/T 7714	Rubinov AM,Yagubov AA. The Space of Star-Shaped Sets and Its Applications in Nonsmooth Optimization.. 1984.