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Convexity and generalized second-order derivatives for locally lipschitz functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00001858" target="_blank" >RIV/61989592:15310/05:00001858 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Convexity and generalized second-order derivatives for locally lipschitz functions

  • Original language description

    We define the generalized second-order directional derivatives by means of the Clarke generalized gradient for locally Lipschitz functions. Then we give characterization of convexity and state a new sufficient optimality condition.

  • Czech name

    Konvexita a zobecněné derivace druhého řádu pro lokálně lipschitzovské funkce

  • Czech description

    Definujeme zobecněné směrové derivace druhého řádu pomocí Clarkeova zobecněného gradientu pro lokálně lipschitzovské funkce. Potom uvádíme charakterizaci konvexity a stanovujeme novou postačující optimizační podmínku.

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

    <a href="/en/project/GA201%2F01%2F1451" target="_blank" >GA201/01/1451: Qualitative analysis of solutions for ordinary and functional differential equations</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • 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 & Applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    60

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    9

  • Pages from-to

    547-555

  • UT code for WoS article

  • EID of the result in the Scopus database