Publication: On Hölder calmness of minimizing sets
On Hölder calmness of minimizing sets
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Klatte, D., & Kummer, B. (2022). On Hölder calmness of minimizing sets. Optimization, 71(4), 1055–1072. https://doi.org/10.1080/02331934.2021.1914038
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We present conditions for Hölder calmness and upper Hölder continuity of optimal solution sets to perturbed optimization problems in finite dimensions. Studies on Hölder type stability were a popular subject in variational analysis already in the 1980s and 1990s, and have become a revived interest in the last decade. In this paper, we focus on conditions for Hölder calmness of the argmin mapping in the case of non-isolated minima. We recall known ideas and results in this context for general as well as special parametric programs, ref
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- Klatte, Diethard
- Kummer, Bernd
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Klatte, D., & Kummer, B. (2022). On Hölder calmness of minimizing sets. Optimization, 71(4), 1055–1072. https://doi.org/10.1080/02331934.2021.1914038
