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.
Bianchi, M., Kassay, G., Pini, R. (2016). Linear Openness of the Composition of Set-Valued Maps and Applications to Variational Systems. SET-VALUED AND VARIATIONAL ANALYSIS, 24(4), 581-595 [10.1007/s11228-015-0357-0].
Linear Openness of the Composition of Set-Valued Maps and Applications to Variational Systems
PINI, RITA
Ultimo
2016
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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