Work

Strong metric subregularity of the optimality mapping and second-order sufficient optimality conditions in extremal problems with constraints

Year: 2025

Type: article

Abstract: 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.

Source: Communications in Optimization Theory

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: European Commission, Austrian Science Fund

Awards: G2566934999, G4188552653

OpenAlex ID: W4414936175

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