4 papers
Hoffman constant of the argmin mapping in linear optimization
J. Camacho, M. J. Cánovas, H. Gfrerer +1
The main goal of this paper is to provide a point-based expression for the Hoffman constant of the argmin mapping in linear optimization, understood as the sharp Lipschitz constant…
From calmness to Hoffman constants for linear semi-infinite inequality systems
Jesús Camacho, María Josefa Cánovas, Juan Parra
In this paper we focus on different -- global, semi-local and local -- versions of Hoffman type inequalities expressed in a variational form. In a first stage our analysis is devel…
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…