Volume 5, Number 3, September 2009, pp. 493-506

J.-C. Yao and N.D. Yen
Key words:
parametric affine variational inequality, linear perturbations, solution map, Aubin property, local metric regularity in Robinson's sense, normal coderivative, pseudo-face.
Mathematices Subject Classification: 49K40, 49J40, 49J52, 49J53
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Abstract:
Consider a parametric affine variational inequality 0 ∈ Mx+q+N(x; Δ(A,b)), denoted by AVI (M,q,A,b), for which the pair (q,b) ∈ R n × R m describes the linear perturbations. Here the matrices M ∈ R n × n and A ∈ R m × n are the given data, Δ(A,b)={x ∈ R n : Ax ≤ b} is a convex polyhedral constraint set, and N(x; Δ(A,b)) denotes the normal cone to Δ(A,b) at x. In Part 1 of this paper [J.-C. Yao and N. D. Yen, Coderivative calculation related to a parametric affine variational inequality. Part 1: Basic calculations; Acta Math. Vietnam. 34 (2009) 157-172], ....
Coderivative calculation related to a parametric affine variational inequality. Part 2: applications