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

Monica Bianchi; Gabor Kassay; Rita Pini

doi:10.1016/j.jmaa.2012.10.023

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

Monica Bianchi
, Gabor Kassay^*
, Rita Pini

^*Corresponding author

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	279-290
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	2013
Issue number	399
DOIs	https://doi.org/10.1016/j.jmaa.2012.10.023
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Inverse map
generalized equation
sensitivity analysis
set–valued Lipschitz map

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10.1016/j.jmaa.2012.10.023

Cite this

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title = "An inverse map result and some applications to sensitivity of generalized equations",

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

keywords = "Inverse map, generalized equation, sensitivity analysis, set–valued Lipschitz map, Inverse map, generalized equation, sensitivity analysis, set–valued Lipschitz map",

author = "Monica Bianchi and Gabor Kassay and Rita Pini",

year = "2013",

doi = "10.1016/j.jmaa.2012.10.023",

language = "English",

volume = "2013",

pages = "279--290",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

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TY - JOUR

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

AU - Bianchi, Monica

AU - Kassay, Gabor

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\r\ntwo theorems which shed some new light on this aspect. Some implications in terms\r\nof sensitivity of parametric generalized equations are investigated. Finally, a class of\r\nwell–conditioned operators is identified.

AB - This work deals with non–global inverse map results for the sum of two maps. We prove\r\ntwo theorems which shed some new light on this aspect. Some implications in terms\r\nof sensitivity of parametric generalized equations are investigated. Finally, a class of\r\nwell–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 - https://publicatt.unicatt.it/handle/10807/41803

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U2 - 10.1016/j.jmaa.2012.10.023

DO - 10.1016/j.jmaa.2012.10.023

M3 - Article

SN - 0022-247X

VL - 2013

SP - 279

EP - 290

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 399

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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