A Fritz John Approach to First Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints
By Michael L. Flegel, Christian Kanzow. 2003
47 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/744fcdc686f07d3577f6343ee39b715b021c9539
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In Computational Theory and Mathematics
- Christian Kanzow
- Jirí Vladimír Outrata
- Michael L. Flegel
- Tim Hoheisel
- Alexander Y. Kruger
- Stephan Dempe
In Control and Systems Engineering
In Numerical Analysis
- Christian Kanzow
- Jirí Vladimír Outrata
- Michael L. Flegel
- Tim Hoheisel
- Stephan Dempe
- Alexander Y. Kruger
Citations in the corpus
- On the Guignard constraint qualification for mathematical programs with equilibrium constraints (2005, background): “[5,18]) that strong stationarity is a necessary firstorder condition under MPEC-SMFCQ (the MPEC variant of the strict Mangasarian–Fromovitz constraint qualification (SMFCQ), see e.”
- Abadie-Type Constraint Qualification for Mathematical Programs with Equilibrium Constraints (2005, methodology): “(5b) MPEC-LICQ and MPEC-SMFCQ can be expanded similarly.”
- Optimality Conditions for Disjunctive Programs with Application to Mathematical Programs with Equilibrium Constraints (2007, methodology): “MPEC ( ˆ z) (see, e.g., [3, 4 , 6, 29]). In the following, we will use this terminology to avoid confusion with the linearized tangent cone T lin ( ˆ z), which we acquire if the reformulate the program (29 )i n the fashion to be described in the following.”