DOI: 10.68381/jca31050 ISSN: 0944-6532

Correction to "Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems", J. Convex Analysis 29/2 (2022) 481–517

Quang-Hung Pham, Bernard Brogliato

This note corrects a mistake in a recent paper of B. Brogliatio [Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems, J. Convex Analysis 29/2 (2022) 481–517] concerning the characterization of the domain of an operator of the form

\Phi(t,\cdot):=(\partial \sigma_{\Gamma(t)}+D)^{-1}(\cdot) Φ ( t , ⋅ ) : = ( ∂ σ Γ ( t ) + D ) − 1 ( ⋅ )
,
D=D^{\top} D = D ⊤
a constant positive semi-definite matrix,
\Gamma(t) Γ ( t )
a nonempty closed convex set for each
t t
,
\sigma_{\Gamma(t)}(\cdot) σ Γ ( t ) ( ⋅ )
its support function.