A nonsmooth Robinson's inverse function theorem in Banach spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928032" target="_blank" >RIV/49777513:23520/16:43928032 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10107-015-0877-2" target="_blank" >http://dx.doi.org/10.1007/s10107-015-0877-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10107-015-0877-2" target="_blank" >10.1007/s10107-015-0877-2</a>

Result language

angličtina

Original language name

A nonsmooth Robinson's inverse function theorem in Banach spaces

Original language description

In a recent paper, Izmailov (Math Program Ser A 147:581-590, 2014) derived an extension of Robinson's implicit function theorem for nonsmooth generalized equations in finite dimensions, which reduces to Clarke's inverse function theorem when the generalized equation is just an equation. Páles (J Math Anal Appl 209:202-220, 1997) gave earlier a generalization of Clarke's inverse function theorem to Banach spaces by employing Ioffe's strict pre-derivative. In this paper we generalize both theorems of Izmailov and Páles to nonsmooth generalized equations in Banach spaces.

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

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

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

156

Issue of the periodical within the volume

1-2

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

257-270

UT code for WoS article

000370174400009

EID of the result in the Scopus database

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