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  • We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to Rn+.
  • We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to Rn+. (en)
Title
  • On Stability of M-stationary Points in MPCCs
  • On Stability of M-stationary Points in MPCCs (en)
skos:prefLabel
  • On Stability of M-stationary Points in MPCCs
  • On Stability of M-stationary Points in MPCCs (en)
skos:notation
  • RIV/67985556:_____/14:00431296!RIV15-GA0-67985556
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  • I, P(GAP102/11/0437), P(GAP402/12/1309)
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  • 3
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  • 34387
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  • RIV/67985556:_____/14:00431296
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  • Parameterized mathematical programs with complementarity constraints; M-stationarity; Sensitivity analysis; Isolated calmness; Aubin property (en)
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  • NL - Nizozemsko
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  • [4DF8C5F498EF]
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  • Set-Valued and Variational Analysis
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  • 22
http://linked.open...iv/tvurceVysledku
  • Pištěk, Miroslav
  • Outrata, Jiří
  • Červinka, Michal
http://linked.open...ain/vavai/riv/wos
  • 000341424500003
issn
  • 1877-0533
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11228-014-0278-3
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