AN INVERSE MAPPING-THEOREM FOR SET-VALUED MAPS

被引：106

作者：

DONTCHEV, AL ^{[1
]}

HAGER, WW ^{[1
]}

机构：

[1] UNIV FLORIDA,DEPT MATH,GAINESVILLE,FL 32611

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 02期

关键词：

SET-VALUED MAP; INVERSE FUNCTION; PSEUDO-LIPSCHITZ MAP; LIPSCHITZ SELECTION;

D O I：

10.2307/2160425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that certain Lipschitz properties of the inverse F-1 of a set-valued map F are inherited by the map (f + F)-1 when f has vanishing strict derivative.

引用

页码：481 / 489

页数：9

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