Openness stability and implicit multifunction theorems: Applications to variational systems

In this paper we aim to present two general results regarding, on one hand, the openness stability of set-valued maps and, on the other hand, the metric regularity behavior of the implicit multifunction related to a generalized variational system. Then, these results are applied in order to obtain,...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2012-02, Vol.75 (3), p.1246-1259
Main Authors: Durea, M., Strugariu, R.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Implicit multifunctions
Linear openness
Lipschitz-like property
Mathematical analysis
Mathematics
Metric regularity
Nonlinearity
Regularity
Sciences and techniques of general use
Set-valued mappings
Stability
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we aim to present two general results regarding, on one hand, the openness stability of set-valued maps and, on the other hand, the metric regularity behavior of the implicit multifunction related to a generalized variational system. Then, these results are applied in order to obtain, in a natural way, and in a widely studied case, several relations between the metric regularity moduli of the field maps defining the variational system and the solution map. Our approach allows us to complete and extend several very recent results from the literature.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.02.019