4 papers · 1 filter
Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization
María J. Cánovas, Marco A. López, Boris Mordukhovich +1
The paper concerns multiobjective linear optimization problems in R^n that are parameterized with respect to the right-hand side perturbations of inequality constraints. Our focus…
Lipschitz modulus of linear and convex systems with the Hausdorff metric
Gerald Beer, María J. Cánovas, Marco A. López +1
This paper analyzes the Lipschitz behavior of the feasible set in two parametric settings, associated with linear and convex systems in R^n. To start with, we deal with the paramet…
Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems
Nguyen Dinh, Miguel A. Goberna, Marco A. López +1
We introduce a robust optimization model consisting in a family of perturbation functions giving rise to certain pairs of dual optimization problems in which the dual variable depe…
Characterizing weak solutions for vector optimization problems
Nguyen Dinh, Miguel A. Goberna, Dang H. Long +1
This paper provides characterizations of the weak solutions of optimization problems where a given vector function from a decision space to an objective space , is "min…