Nikolai P. Osmolovskii, Vladimir M. Veliov
Published 2024-11-14Version 1
This is a review paper, summarizing without proofs recent results by the authors on the property of strong metric subregularity (SMSR) in optimization. It presents sufficient conditions for SMSR of the optimality mapping associated with a set of necessary optimality conditions in three types of constrained optimization problems: mathematical programming, calculus of variations, and optimal control. The conditions are based on second-order sufficient optimality conditions in the corresponding optimization problems and guarantee small changes in the optimal solution and Lagrange multipliers for small changes in the data.
Approachability with Constraints
Quadratic Growth and Strong Metric Subregularity of the Subdifferential for a Class of Non-prox-regular Functions
On second-order sufficient optimality conditions for $C^1$ vector optimization problems
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