Nonsingularity conditions for multifunctions

作     者：Levy, AB 

作者机构：Bowdoin Coll Dept Math Brunswick ME 04011 USA 

出 版 物：《SET-VALUED ANALYSIS》 (集值分析)

年 卷 期：1999年第7卷第1期

页      面：89-99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：coderivative outer graphical derivative strict derivative pseudo-Lipschitz upper Lipschitz inverse mapping theorem optimal solution stationary point sensitivity analysis 

摘      要：We discuss three different characterizations of continuity properties for general multifunctions S : R-d double right arrow R-n. Each of these characterizations is given by the same simple nonsingularity condition, but stated in terms of three different generalized derivatives. Two of these characterizations are known, but the third is new to this paper. We discuss how all three have immediate analogues as generalized inverse mapping theorems, and we apply our new characterization to develop a fundamental and very broad sensitivity theorem for solutions to parameterized optimization problems.