RT info:eu-repo/semantics/article
T1 Differential stability properties in convex scalar and vector optimization
A1 An, Duong Thi Viet
A1 Gutiérrez Vaquero, César
K1 Differential stability
K1 Limiting calculus rule
K1 Optimization
K1 12 Matemáticas
AB This paper focuses on formulas for the ε-subdifferential of the optimal value function ofscalar and vector convex optimization problems. These formulas can be applied when theset of solutions of the problem is empty. In the scalar case, both unconstrained problems andproblems with an inclusion constraint are considered. For the last ones, limiting results arederived, in such a way that no qualification conditions are required. The main mathematicaltool is a limiting calculus rule for the ε-subdifferential of the sum of convex and lowersemicontinuous functions defined on a (non necessarily reflexive) Banach space. In thevector case, unconstrained problems are studied and exact formulas are derived by linearscalarizations. These results are based on a concept of infimal set, the notion of cone properset and an ε-subdifferential for convex vector functions due to Taa.
PB Springer
SN 1877-0533
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/48540
UL https://uvadoc.uva.es/handle/10324/48540
LA eng
NO Set-Valued and Variational Analysis, 2021
NO Producción Científica
DS UVaDOC
RD 16-ago-2024