On almost regular mappings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43971084" target="_blank" >RIV/49777513:23520/25:43971084 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/02331934.2024.2311197" target="_blank" >https://doi.org/10.1080/02331934.2024.2311197</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331934.2024.2311197" target="_blank" >10.1080/02331934.2024.2311197</a>

Result language
angličtina
Original language name
On almost regular mappings
Original language description
Ioffe’s criterion and various reformulations of it have become a standard tool in proving theorems guaranteeing various regularity properties such as metric regularity, i.e. the openness with a linear rate around the reference point, of a (set-valued) mapping.We derive an analogue of it guaranteeing the almost openness with a linear rate of mappings acting in incomplete spaces and having non-closed graphs, in general. The main tool used is an approximate version of Ekeland’s variational principle for a function that is not necessarily lower semicontinuous and is defined on an abstract (possibly incomplete) space. Further, we focus on the stability of this property under additive single-valued and set-valued perturbations.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GF20-11164L" target="_blank" >GF20-11164L: Regularity properties of mappings and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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