Necessary optimality conditions for nonsmooth robust optimization problems

In this paper, we investigate robust necessary optimality for scalar uncertain optimization problems under the strictly robust counterpart, where the uncertainties are included in the objective and the constraints. Based on generalized differentiable assumptions, some robust necessary conditions via...

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Veröffentlicht in:Optimization Jg. 71; H. 7; S. 1817 - 1837
Hauptverfasser: Wei, Hong-Zhi, Chen, Chun-Rong, Li, Sheng-Jie
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Taylor & Francis 03.07.2022
Taylor & Francis LLC
Schlagworte:
Image space analysis
Optimization
robust optimality condition
Robustness
scalar robust optimization
Separation
ISSN:0233-1934, 1029-4945
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Abstract In this paper, we investigate robust necessary optimality for scalar uncertain optimization problems under the strictly robust counterpart, where the uncertainties are included in the objective and the constraints. Based on generalized differentiable assumptions, some robust necessary conditions via a separation scheme are derived. Besides, by means of strong separation functions, several characterizations of robust necessary optimality can be established. Finally, an example is given to show the effectiveness of the results derived in this paper.
AbstractList In this paper, we investigate robust necessary optimality for scalar uncertain optimization problems under the strictly robust counterpart, where the uncertainties are included in the objective and the constraints. Based on generalized differentiable assumptions, some robust necessary conditions via a separation scheme are derived. Besides, by means of strong separation functions, several characterizations of robust necessary optimality can be established. Finally, an example is given to show the effectiveness of the results derived in this paper.
Author Li, Sheng-Jie
Wei, Hong-Zhi
Chen, Chun-Rong
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SubjectTerms Image space analysis
Optimization
robust optimality condition
Robustness
scalar robust optimization
Separation
Title Necessary optimality conditions for nonsmooth robust optimization problems
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