On primal regularity estimates for single-valued mappings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447033" target="_blank" >RIV/67985840:_____/15:00447033 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23520/15:43926854

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11784-015-0240-5" target="_blank" >http://dx.doi.org/10.1007/s11784-015-0240-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11784-015-0240-5" target="_blank" >10.1007/s11784-015-0240-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On primal regularity estimates for single-valued mappings

Popis výsledku v původním jazyce

Based on a primal regularity criterion we provide lower bounds for the regularity modulus of a nonlinear single-valued mapping F from a Banach space X into another Banach space Y . We focus on the case when F is defined on a proper (closed convex) subsetof X only rather than on the whole of X. Three possible ways of approximating F around the reference point are considered. First, we use a tangential approximation by set-valued mappings associated with the Bouligand?s tangent cone to the graph of F. Then we move on to approximations by positively homogeneous set-valued mappings whose graphs contain the graph of F, for example, by the strict prederivative. Finally, we use an approximation by bunches of continuous linear operators. In the first two cases finding approximating objects is relatively easy while in the third case the approximating object is very convenient to work with.

Název v anglickém jazyce

On primal regularity estimates for single-valued mappings

Popis výsledku anglicky

Based on a primal regularity criterion we provide lower bounds for the regularity modulus of a nonlinear single-valued mapping F from a Banach space X into another Banach space Y . We focus on the case when F is defined on a proper (closed convex) subsetof X only rather than on the whole of X. Three possible ways of approximating F around the reference point are considered. First, we use a tangential approximation by set-valued mappings associated with the Bouligand?s tangent cone to the graph of F. Then we move on to approximations by positively homogeneous set-valued mappings whose graphs contain the graph of F, for example, by the strict prederivative. Finally, we use an approximation by bunches of continuous linear operators. In the first two cases finding approximating objects is relatively easy while in the third case the approximating object is very convenient to work with.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Fixed Point Theory and Applications

ISSN

1661-7738

e-ISSN

—

Svazek periodika

17

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

22

Strana od-do

187-208

Kód UT WoS článku

000360697300012

EID výsledku v databázi Scopus

2-s2.0-84940889390