Chain Rules for Linear Openness in Metric Spaces. Applications to Parametric Variational Systems

2011/06/03 by Marius Durea, Durea, Marius, Radu Strugariu +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1106.1815

arxiv created 2011/06/03 · arxiv updated 2011/06/10

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.

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