Lipschitz upper semicontinuity of fully perturbed linear inequality systems

J. Camacho Moro, M. J. Cánovas Cánovas, H. Gfrerer, J. Parra López

This talk focuses on the so-called Lipschitz upper semicontinuity modulus. Particularly, we study linear inequality systems -and their associated feasible set mapping- under data uncertainty. Whle the right-hand side perturbation framework is already well-established in recent literature, we extend these findings to encompass full perturbations of data coefficients. Furthermore, we develop new techniques to overcome the lack of convexity in the corresponding graph, revealing underlying structures that were overlooked in previous works.

Keywords: Lipschitz upper semicontinuity calmness linear ineqality systems

E. Hernández García, J. Perán Mazón

B. Hernández Jiménez, B. Hernández Jiménez, Y. Chalco-Cano, A. Ramos

R. Rodríguez-López