Cosmically Lipschitz set-valued mappings

作     者：Galbraith, GN 

作者机构：Univ Calif Davis Davis CA 95616 USA 

出 版 物：《SET-VALUED ANALYSIS》 (集值分析)

年 卷 期：2002年第10卷第4期

页      面：331-360页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：sub-Lipschitz cosmic metric coderivative Hamilton-Jacobi equation necessary conditions invariance viability differential inclusions 

摘      要：This paper introduces a kind of sub-Lipschitz continuity for set-valued mappings based on the cosmic metric. This type of Lipschitz behavior has applications with regards to necessary optimality conditions, the Hamilton-Jacobi equation, and invariance of unbounded differential inclusions. Cosmically Lipschitz assumptions allow for broader applications than previously allowed under Lipschitz assumptions. It is also shown that a cosmically Lipschitz mapping can be characterized by the normal cones to its graph using the coderivative, and various rules are presented in order to more easily identify such a mapping.