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

共 23 条

[11] LEACH EB, 1961, P AM MATH SOC, V12, P694
[12] COMPLETE CHARACTERIZATION OF OPENNESS, METRIC REGULARITY, AND LIPSCHITZIAN PROPERTIES OF MULTIFUNCTIONS
MORDUKHOVICH, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 340 (01) : 1 - 35
[13] MORDUKHOVICH B, 1992, IMA PREPRINTS SERIES, V994
[14] MULTI-VALUED CONTRACTION MAPPINGS
NADLER, SB
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) : 475 - &
[15] STRONG DERIVATIVES AND INVERSE MAPPINGS
NIJENHUIS, A
[J]. AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (09) : 969 - 980
[16] METRIC REGULARITY, OPENNESS AND LIPSCHITZIAN BEHAVIOR OF MULTIFUNCTIONS
PENOT, JP
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (06) : 629 - 643
[17] Robinson S. M., 1976, SIAM Journal on Numerical Analysis, V13, P497, DOI 10.1137/0713043
[18] REGULARITY AND STABILITY FOR CONVEX MULTIVALUED FUNCTIONS.
Robinson, Stephen M.
[J]. Mathematics of Operations Research, 1976, 1 (02): : 130 - 143
[19] INVERSE-FUNCTION THEOREM FOR A CLASS OF MULTIVALUED FUNCTIONS
ROBINSON, SM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 41 (01) : 211 - 218
[20] AN IMPLICIT-FUNCTION THEOREM FOR A CLASS OF NONSMOOTH FUNCTIONS
ROBINSON, SM
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 1991, 16 (02) : 292 - 309

← 1 2 3 →