Linear openness of the composition of set-valued maps and applications to variational systems

Monica Bianchi; G. Kassay; R. Pini; Rita Pini

doi:10.1007/s11228-015-0357-0

Linear openness of the composition of set-valued maps and applications to variational systems

Monica Bianchi, G. Kassay, R. Pini, Rita Pini

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

5 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	581-595
Numero di pagine	15
Rivista	Set-Valued and Variational Analysis
DOI	https://doi.org/10.1007/s11228-015-0357-0
Stato di pubblicazione	Pubblicato - 2015

Keywords

Composition of maps
Linear openness
sensitivity analysis

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10.1007/s11228-015-0357-0

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title = "Linear openness of the composition of set-valued maps and applications to variational systems",

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.",

keywords = "Composition of maps, Linear openness, sensitivity analysis, Composition of maps, Linear openness, sensitivity analysis",

author = "Monica Bianchi and G. Kassay and R. Pini and Rita Pini",

year = "2015",

doi = "10.1007/s11228-015-0357-0",

language = "English",

pages = "581--595",

journal = "Set-Valued and Variational Analysis",

issn = "1877-0533",

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T1 - Linear openness of the composition of set-valued maps and applications to variational systems

AU - Bianchi, Monica

AU - Kassay, G.

AU - Pini, R.

AU - Pini, Rita

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Composition of maps

KW - Linear openness

KW - sensitivity analysis

KW - Composition of maps

KW - Linear openness

KW - sensitivity analysis

UR - http://hdl.handle.net/10807/70010

U2 - 10.1007/s11228-015-0357-0

DO - 10.1007/s11228-015-0357-0

M3 - Article

SN - 1877-0533

SP - 581

EP - 595

JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

ER -

Linear openness of the composition of set-valued maps and applications to variational systems

Abstract

Keywords

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