Quasistability of vector nonlinear trajectory problem with the Pareto optimality principle (Q1603115)

The paper considers discrete vector optimization problems with any combination of linear partial criteria of the form MINSUM and nonlinear partial criteria of the form MINMAX and MINMIN. Necessary and sufficient conditions for the quasistability of such problems are presented, where quasistability is defined as the property that the Pareto set remains unchanged under small independent perturbations of the objective functions. Connections between quasistability and the equality of the Pareto set and the Smale set are derived.