Generic continuity of the perturbed minima of certain parametric optimization problems

2024/10/12 by Hristina Topalova, Topalova, Hristina, Nadia Zlateva +1
Engineering · Mathematics · #46N10 #49J45 #90C26 #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Heat Transfer and Mathematical Modeling #Material Science and Thermodynamics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2410.09526

openalex publication_date 2024/10/12 · openalex created_date 2024/10/20 · openalex updated_date 2026/07/28

Abstract

We show that in a quite general framework, the parameterized optimization problem can be so perturbed as to be generically well-posed. As an application, we provide a contribution to Stechkin theory.

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