Stability Analysis for Parameterized Variational Systems with Implicit Constraints

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00506147" target="_blank" >RIV/67985556:_____/20:00506147 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11228-019-00516-1" target="_blank" >https://link.springer.com/article/10.1007/s11228-019-00516-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11228-019-00516-1" target="_blank" >10.1007/s11228-019-00516-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stability Analysis for Parameterized Variational Systems with Implicit Constraints

Popis výsledku v původním jazyce

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems include, e.g., quasi-variational inequalities and implicit complementarity problems. Concerning the Aubin property, possible restrictions imposed on the parameter are also admitted. Throughout the paper, tools from the directional limiting generalized differential calculus are employed enabling us to impose only rather weak (non- restrictive) qualification conditions. Despite the very general problem setting, the resulting conditions are workable as documented by some academic examples.

Název v anglickém jazyce

Stability Analysis for Parameterized Variational Systems with Implicit Constraints

Popis výsledku anglicky

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems include, e.g., quasi-variational inequalities and implicit complementarity problems. Concerning the Aubin property, possible restrictions imposed on the parameter are also admitted. Throughout the paper, tools from the directional limiting generalized differential calculus are employed enabling us to impose only rather weak (non- restrictive) qualification conditions. Despite the very general problem setting, the resulting conditions are workable as documented by some academic examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA17-08182S" target="_blank" >GA17-08182S: Matematické modelování netranzitivních preferencí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Set-Valued and Variational Analysis

ISSN

1877-0533

e-ISSN

—

Svazek periodika

28

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

27

Strana od-do

167-193

Kód UT WoS článku

000519659600009

EID výsledku v databázi Scopus

2-s2.0-85068858697