Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints

Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity

Holger Scheel, Stefan Scholtes · Mathematics of Operations Research · 2000 · 667 citations

Natural Sciences, Mathematics, Discrete Mathematics +16

Optimal Control in Some Variational Inequalities

F. Mignot, Jean-Pierre Puel · SIAM Journal on Control and Optimization · 1984 · 229 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +16

Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm

Michael Hintermüller, Ian Kopacka · SIAM Journal on Optimization · 2009 · 100 citations

Natural Sciences, Mathematics, Computational Mechanics +16

Generalizations of Slater's constraint qualification for infinite convex programs

V. Jeyakumar, Henry Wolkowicz · Mathematical Programming · 1992 · 92 citations

Natural Sciences, Computer Science, Mathematics +10

A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs

Michael Hintermüller, Ian Kopacka · Computational Optimization and Applications · 2009 · 41 citations

Computing, Computational Engineering, Computer Engineering +9