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

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

2011-06-03

arxiv.org/abs/1106.1815v1

Mathematics

Functional Analysis

Scientific paper

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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