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Record link: 
http://hdl.handle.net/20.500.12708/137664
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Title: 
On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations
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Citation: 
Osmolovskii, N. P., & Veliov, V. M. (2021). On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations. Journal of Mathematical Analysis and Applications, 500(1), Article 125077. https://doi.org/10.1016/j.jmaa.2021.125077
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Publisher DOI: 
10.1016/j.jmaa.2021.125077
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Osmolovskii, Nikolai P. 
Veliov, Vladimir M. 
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Organisational Unit: 
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research 
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Journal: 
Journal of Mathematical Analysis and Applications 
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ISSN: 
0022-247X
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Date (published): 
2021
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Number of Pages: 
25
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Peer reviewed: 
Yes
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Keywords: 
Applied Mathematics; Analysis; Optimization; Optimal control; Mathematical programming; Mayer's problem; Metric subregularity
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Abstract: 
The paper presents sufficient conditions for a strong metric subregularity (SMSr) property of the optimality mapping associated with the Pontryagin local maximum principle for a Mayer's type optimal control problem with general initial/terminal constraints for the state variable and unconstrained control. This SMSr property is adapted to the involvement of two norms in the basic assumptions: smoot...
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
Mathematik
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