Derivatives of the efficient point multifunction in parametric vector optimization problems
The \(S\)-derivative is used to study the sensitivity analysis of parametric vector optimization problems. The author establishes formulae for inner and outer evaluating the \(S\)-derivative of the efficient point multifunction of a vector optimization problem. These estimating formulae are presented via the set of efficient/weakly efficient points of the \(S\)-derivative of the original multifunction, a composite multifunction of the objective function and the constraint mapping. Some examples are provided.
scientific article; zbMATH DE number 6161560
scientific article