Chain Rules for Linear Openness in Metric Spaces. Applications to Parametric Variational Systems
Functional Analysis
2011-06-10 v1
Abstract
In this work we present a general theorem concerning chain rules for linear openness of set-valued mappings acting between metric spaces. As particular cases, we obtain classical and also some new results in this field of research, including the celebrated Lyusternik-Graves Theorem. The applications deal with the study of the well-posedness of the solution mappings associated to parametric variational systems. Sharp estimates for the involved regularity moduli are given.
Keywords
Cite
@article{arxiv.1106.1815,
title = {Chain Rules for Linear Openness in Metric Spaces. Applications to Parametric Variational Systems},
author = {Marius Durea and Radu Strugariu},
journal= {arXiv preprint arXiv:1106.1815},
year = {2011}
}