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Estimates for coderivative of solution map in bilevel program.
- Source :
- Applicable Analysis; Jun2023, Vol. 102 Issue 10, p2827-2846, 20p
- Publication Year :
- 2023
-
Abstract
- This paper deals with a kind of nonconvex optimistic bilevel optimization programs. In some process of dealing this kind of bilevel programs, difficulties are essentially moved to estimating for coderivative of the solution map. To deal with these difficulties, we use value function of the lower level problem and its modifications as implicit functions to describe the solution map. By applying techniques in variational analysis, we give estimates for coderivative of the solution map. Then, we will show the applications in optimality conditions for these bilevel programs which we derived by using the extremal principle. [ABSTRACT FROM AUTHOR]
- Subjects :
- CARTOGRAPHY software
BILEVEL programming
IMPLICIT functions
COINTEGRATION
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 102
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 164617983
- Full Text :
- https://doi.org/10.1080/00036811.2022.2040993