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DTSTART:20181028T030000
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UID:calendar.13487.field_data.0@diag.uniroma1.it
DTSTAMP:20220529T120021Z
CREATED:20180617T171651Z
DESCRIPTION:Regularity properties of mappings lie at the heart of mathemati
cal analysis and its applications. In particular\, they pave the way to ta
ngential approximations of solution sets to equations that can be hardly s
olved explicitly. Such a role is emphasized in modern optimization\, where
the appearing of side-constraints and/or nonsmoothness of data leads to d
eal with complicate constraint systems\, involving set-valued mappings. Th
ese lectures are intended to offer a prolegomenon to the theory grown up i
n the last decades around the concept of regularity for set-valued mapping
s and its phenomenology. Key features of this theory are a quantitative ch
aracter\, expressed by metric inequalities\, and interconnections with suc
h behaviours as openness and Lipschitz-like properties. Among the topics t
ouched by the lectures are main regularity criteria and applications to th
e formulation of optimality conditions. Links with the theory of error bou
nds and transversality are discussed as well.
DTSTART;TZID=Europe/Paris:20180620T100000
DTEND;TZID=Europe/Paris:20180622T160000
LAST-MODIFIED:20191008T082902Z
LOCATION:Aula A5 DIAG\, VIA ARIOSTO\, 25 Roma
SUMMARY:Ph.D. course: metric regularity of set-valued mappings with applica
tion to optimization - Amos Uderzo\, Università di Milano-Bicocca
URL;TYPE=URI:https://diag.uniroma1.it/node/13487
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