An inverse map result and some applications to sensitivity of generalized equations

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

doi:10.1016/j.jmaa.2012.10.023

An inverse map result and some applications to sensitivity of generalized equations

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

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

11 Citazioni (Scopus)

Abstract

This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.

Lingua originale	English
pagine (da-a)	279-290
Numero di pagine	12
Rivista	Journal of Mathematical Analysis and Applications
Volume	2013
DOI	https://doi.org/10.1016/j.jmaa.2012.10.023
Stato di pubblicazione	Pubblicato - 2013

Keywords

Inverse map
generalized equation
sensitivity analysis
set–valued Lipschitz map

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10.1016/j.jmaa.2012.10.023

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abstract = "This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.",

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

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T1 - An inverse map result and some applications to sensitivity of generalized equations

AU - Bianchi, Monica

AU - Kassay, G.

AU - Pini, R.

AU - Pini, Rita

PY - 2013

Y1 - 2013

N2 - This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.

AB - This work deals with non–global inverse map results for the sum of two maps. We prove two theorems which shed some new light on this aspect. Some implications in terms of sensitivity of parametric generalized equations are investigated. Finally, a class of well–conditioned operators is identified.

KW - Inverse map

KW - generalized equation

KW - sensitivity analysis

KW - set–valued Lipschitz map

KW - Inverse map

KW - generalized equation

KW - sensitivity analysis

KW - set–valued Lipschitz map

UR - http://hdl.handle.net/10807/41803

U2 - 10.1016/j.jmaa.2012.10.023

DO - 10.1016/j.jmaa.2012.10.023

M3 - Article

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VL - 2013

SP - 279

EP - 290

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

An inverse map result and some applications to sensitivity of generalized equations

Abstract

Keywords

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