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On l-stable mappings with values in infinite-dimensional Banach spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F10%3A00003358" target="_blank" >RIV/62690094:18470/10:00003358 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On l-stable mappings with values in infinite-dimensional Banach spaces

  • Original language description

    The aim of the paper is to collect some results concerning l-stability of mappings with values in possibly infinite-dimensional Banach spaces. We show that any l-stable function from finite-dimensional space to an arbitrary Banach space is Lipschitz nearthe reference point. Further, we show that any l-stable function from finite-dimensional space to a Banach space having Radon-Nikodym property is strictly differentiable at the reference point. As an application we present the second-order sufficient condition for the unconstrained optimization problem previously obtained for finite-dimensional range space.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Nonlinear analysis-theory methods and applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    72

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    12

  • Pages from-to

  • UT code for WoS article

    000273188500007

  • EID of the result in the Scopus database