A viability approach to the inverse set-valued map theorem |
| |
Authors: | Jean-Pierre Aubin |
| |
Institution: | (1) Laboratoire d’Applications des Systémes, Tychastiques Régulés, LASTRE, 14, rue Domat, F-75005 Paris, France |
| |
Abstract: | The purpose of this paper is to characterize by means of viability tools the pseudo-lipschitzianity property of a set-valued
map F in a neighborhood of a point of its graph in terms of derivatives of this set-valued map F in a neighborhood of a point of its graph, instead of using the transposes of the derivatives. On the way, we relate these
properties to the calmness index of a set-valued map, an extensions of Clarke’s calmness of a function, as well as Doyen’s
Lipschitz kernel of a set-valued map, which is the largest Lipschitz submap. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|