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Variational inequalities in equilibrial optimization

Project goals

1. Development of tools of variational analysis suitable for study of local properties of solutions of variational inequalities. 2. Analysis of the stability and sensibility of multi-valued mappings which assign suitable sets of solutions to the data ofproblems or to perturbing parameters. 3. Application of obtained results on selected equilibrial problems of continuum mechanics and of mathematical economy.

Keywords

local properties of solutions of variational inequalitiesequilibrial optimizationstability and sensibilitymultivalued mappingscontinuum mechanicsmathematical economyFrechet and limiting subdifferentialfuzzy calculus

Public support

  • Provider

    Ministry of Education, Youth and Sports

  • Programme

    KONTAKT

  • Call for proposals

  • Main participants

  • Contest type

    M2 - International cooperation

  • Contract ID

    10999/2010-32

Alternative language

  • Project name in Czech

    Variační nerovnice v ekvilibriích a optimalizaci.

  • Annotation in Czech

    1. Vývoj nástrojů variační analýzy vhodných ke studiu lokáních vlastností řešení variačních nerovnic. 2. Analýza stability a citlivosti mnohoznačných zobrazení, která přiřazují datům úlohy nebo perturbačbním parametrům příslušné množiny řešení. 3. Aplikace získaných výsledků na vybrané ekvilibriální úlohy mechaniky kontinua a matematické ekonomie.

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    BA - General mathematics

  • CEP - secondary branch

    BA - General mathematics

  • CEP - another secondary branch

    BA - General mathematics

  • 10101 - Pure mathematics

Completed project evaluation

  • Provider evaluation

    O - Nesplněno zadání, smlouva však byla dodržena

  • Project results evaluation

    The project focused on variation inequalities and equilibrial optimization. Since the Czech-French Joint Committee for Scientific and Technological Cooperation did not approve the project for the second year of its implementation, its proposed objectivescould not be reached.

Solution timeline

  • Realization period - beginning

    Jan 1, 2010

  • Realization period - end

    Dec 31, 2010

  • Project status

    S - Stopped (prematurely terminated) multi-year project

  • Latest support payment

    Oct 1, 2010

Data delivery to CEP

  • Confidentiality

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

  • Data delivery code

    CEP12-MSM-ME-U/01:1

  • Data delivery date

    Jul 12, 2012

Finance

  • Total approved costs

    66 thou. CZK

  • Public financial support

    66 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

66 CZK thou.

Public support

66 CZK thou.

100%


Provider

Ministry of Education, Youth and Sports

CEP

BA - General mathematics

Solution period

01. 01. 2010 - 31. 12. 2010