A note on Robinson-Ursescu and Lyusternik-Graves theorem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43918657" target="_blank" >RIV/49777513:23520/13:43918657 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/13:00395288

Result on the web

<a href="http://dx.doi.org/10.1007/s10107-013-0662-z" target="_blank" >http://dx.doi.org/10.1007/s10107-013-0662-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10107-013-0662-z" target="_blank" >10.1007/s10107-013-0662-z</a>

Result language

angličtina

Original language name

A note on Robinson-Ursescu and Lyusternik-Graves theorem

Original language description

The aim of this note is twofold. First, we prove an analogue of the well-known Robinson-Ursescu Theorem on the relative openness with a linear rate (restrictive metric regularity) of a multivalued mapping. Second, we prove a generalization of Graves OpenMapping Theorem for a class of mappings which can be approximated at a reference point by a bunch of linear mappings. The approximated non-linear mapping is restricted to a closed convex subset of a Banach space.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F11%2F0345" target="_blank" >GAP201/11/0345: Nonlinear functional analysis</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2013

Confidentiality

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

Name of the periodical

MATHEMATICAL PROGRAMMING

ISSN

0025-5610

e-ISSN

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Volume of the periodical

139

Issue of the periodical within the volume

1-2

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

89-101

UT code for WoS article

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EID of the result in the Scopus database

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