Implicit function theorems for nondifferentiable mappings

被引：0
|
作者：
Bian, W. [1 ]
机构：
[1] Univ Southampton, Dept Elect & Comp Sci, Southampton SO9 5NH, Hants, England
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2006年 / 129卷 / 02期
关键词：
gamma-G inverse differentiability; implicit function theorems; Ekeland's variational principle;
D O I：
10.1007/s10957-006-9056-1
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Sufficient conditions are given for a mapping to be gamma-G inverse differentiable. Constrained implicit function theorems for gamma-G inverse differentiable mappings are obtained, where the constraint is taken to be either a closed convex cone or a closed subset. A theorem without assuming the gamma-G inverse differentiability in a finite-dimensional space is also presented.
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页码：277 / 292
页数：16
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