Abstract
In this paper we study the linear openness of the composition of set-valued maps carried out thanks to applications of Nadler’s fixed point theorem and Lim’s lemma. As a byproduct, we obtain the Lipschitz property of the solution map of a generalized parametric equation and of parametric approximate variational inequalities, as well.
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This research was supported by a grant of the Romanian National Authority for Scientific Research CNCS - UEFISCDI, project number PN-II-ID-PCE-2011-3-0024
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Bianchi, M., Kassay, G. & Pini, R. Linear Openness of the Composition of Set-Valued Maps and Applications to Variational Systems. Set-Valued Var. Anal 24, 581–595 (2016). https://doi.org/10.1007/s11228-015-0357-0
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DOI: https://doi.org/10.1007/s11228-015-0357-0