On uniform regularity and strong regularity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43952543" target="_blank" >RIV/49777513:23520/19:43952543 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/02331934.2018.1547383" target="_blank" >https://doi.org/10.1080/02331934.2018.1547383</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331934.2018.1547383" target="_blank" >10.1080/02331934.2018.1547383</a>
Alternative languages
Result language
angličtina
Original language name
On uniform regularity and strong regularity
Original language description
We investigate uniform versions of (metric) regularity and strong (metric) regularity on compact subsets of Banach spaces, in particular, along continuous paths. These two properties turn out to play a key role in analyzing path-following schemes for tracking a solution trajectory of a parametric generalized equation or, more generally, of a differential generalized equation (DGE). The latter model allows us to describe in a unified way several problems in control and optimization such as differential variational inequalities and control systems with state constraints. We study two inexact path-following methods for DGEs having the order of the grid error O(h) and O(h^2), respectively. We provide numerical experiments, comparing the schemes derived, for simple problems arising in physics. Finally, we study metric regularity of mappings associated with a particular case of the DGE arising in control theory. We establish the relationship between the pointwise version of this property and its counterpart in function spaces.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
OPTIMIZATION
ISSN
0233-1934
e-ISSN
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Volume of the periodical
68
Issue of the periodical within the volume
2-3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
29
Pages from-to
549-577
UT code for WoS article
000462381900008
EID of the result in the Scopus database
2-s2.0-85057321614