Subdifferentials of the Marginal Functions in Parametric Convex Optimization via Intersection Formulas

Duong Thi Viet An () and Abderrahim Jourani ()
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Duong Thi Viet An: Hangzhou Dianzi University
Abderrahim Jourani: Université de Bourgogne Franche-Comté

Journal of Optimization Theory and Applications, 2022, vol. 192, issue 1, No 4, 82-96

Abstract: Abstract The aim of the present work is to use a metric intersection formula to estimate the subdifferential of the marginal function in the convex setting. This intersection formula includes many interesting situations in parametric convex programming, including the polyhedral one. It is expressed in terms of the objective function and the constrained multivalued mapping which govern the parametric program.

Keywords: Parametric convex programming; Marginal function; Subdifferential; Singular subdifferential; Distance function; 49J53; 49Q12; 90C25; 90C31 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-021-01952-6

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