56 citations · 122 across the 9 of their papers we have counts for
6 papers · 1 filter
Brezis pseudomonotonicity is strictly weaker than Ky-Fan hemicontinuity
Daniel Steck
In 1968, H. Brezis introduced a notion of operator pseudomonotonicity which provides a unified approach to monotone and nonmonotone variational inequalities (VIs). A closely relate…
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods
Christian Kanzow, Daniel Steck
This paper deals with quasi-variational inequality problems (QVIs) in a generic Banach space setting. We provide a theoretical framework for the analysis of such problems which is…
Relaxation schemes for mathematical programs with switching constraints
Christian Kanzow, Patrick Mehlitz, Daniel Steck
Switching-constrained optimization problems form a difficult class of mathematical programs since their feasible set is almost disconnected while standard constraint qualifications…
Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems
Christian Kanzow, Daniel Steck
We propose an augmented Lagrangian-type algorithm for the solution of generalized Nash equilibrium problems (GNEPs). Specifically, we discuss the convergence properties with regard…
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces
Christian Kanzow, Daniel Steck, Daniel Wachsmuth
We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces. Our theoretical framework does not require any convexity o…
On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces
Christian Kanzow, Daniel Steck
This paper deals with a general form of variational problems in Banach spaces which encompasses variational inequalities as well as minimization problems. We prove a characterizati…