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math.OC2022
Extended convergence analysis of the Scholtes-type regularization for cardinality-constrained optimization problems
Sebastian Lammel, Vladimir Shikhman
We extend the convergence analysis of the Scholtes-type regularization method for cardinality-constrained optimization problems. Its behavior is clarified in the vicinity of saddle…
math.OC2022
Global aspects of the continuous reformulation for cardinality-constrained optimization problems
Sebastian Lämmel, Vladimir Shikhman
The main goal of this paper is to relate the topologically relevant stationary points of a cardinality-constrained optimization problem and its continuous reformulation up to their…
math.OC2022
On local uniqueness of normalized Nash equilibria
Vladimir Shikhman
For generalized Nash equilibrium problems (GNEP) with shared constraints we focus on the notion of normalized Nash equilibrium in the nonconvex setting. The property of nondegenera…