Solution Stability of a Linearly Perturbed Constraint System and Applications
Speaker: Duong Thi Kim Huyen

Time: 9h00, Wednesday, February 17, 2016
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Linear complementary problems (LCPs) and affine variational inequalities (AVIs) were intensively studied by different methods. Recently, based on a complete characterization of the Lipschitz-like property and the Robinson metric regularity of a generalized linear constraint system (GLCS), N. D. Yen and D. T. K. Huyen have suggested a new approach to solution stability of LCPs and AVIs. The case of total perturbation of data has been considered. Assuming that the problem data undergoes linear perturbations, this paper focuses on finding minimal sets of conditions for the solution stability of GLCS, LCPs, and AVIs. Explicit forms of the stability conditions for parametric LCPs are given.

This is a joint work with J.-C. Yao.