Tuesday, 16:15 - 16:40 h, Room: H 2051


Héctor Ramírez
Existence and stability results based on asymptotic analysis for semidefinite linear complementarity problems

Coauthors: Julio López, Rúben López


This talk is devoted to the study of existence and stability results of semidefinite linear complementarity problems (for short SDLCP). Our approach consists of approximating the variational inequality formulation of the SDLCP by a sequence of suitable chosen variational inequalities. This provides particular estimates for the asymptotic cone of the solution set of the SDLCP. We thus obtain new coercive and noncoercive existence results, as well as new properties related to the continuity of the solution sets of the SDLCP (such as outer/upper semicontinuity, Lipschitz-type continuity, among others). Moreover, this asymptotic approach leads to a natural extension of the class of García linear transformations, formerly defined in the context of linear complementarity problems, to this SDLCP setting.


Talk 3 of the invited session Tue.3.H 2051
"Recent advances on linear complementarity problems" [...]
Cluster 24
"Variational analysis" [...]


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