Covering of nonlinear maps on a cone in neighborhoods of irregular points

被引：9

作者：

Arutyunov, AV ^{[1
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2005年 / 77卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

F-covering map; linearly covering map; Banach open mapping theorem; covering theorem for a cone; implicit function theorem; Robinson regularity condition;

D O I：

10.1007/s11006-005-0043-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inverse function theorems for smooth nonlinear maps defined on convex cones in Banach spaces in a neighborhood of an irregular point are considered. The corresponding covering theorem is proved. The proofs are based on a Banach open mapping theorem for convex cones in Banach spaces, which is also proved in the paper. Sufficient conditions for tangency to the zero set of a nonlinear map without a priori regularity assumptions are obtained.

引用

页码：447 / 460

页数：14

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