C. Gutiérrez Vaquero, D. T. V. An
The paper addresses formulas for the $\varepsilon$-subdifferential of the optimal value function of scalar and vector convex optimization problems, which work in the case where the solution set of the problem is empty. In scalar optimization problems with an inclusion constraint, a limiting formula is obtained, which does not require any constraint qualification. In vector optimization problems, exact formulas are derived by linear scalarization and an $\varepsilon$-subdifferential due to Taa.
Palabras clave: Differential stability, $\varepsilon$-subdifferential, limiting calculus rule, optimal value function, approximate solution, vector optimization, infimal set, weak minimal solution
Programado
GT11 Optimización Continua III
9 de junio de 2022 17:10
A12
