[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica

[magnani at dm.unipi.it]

Nonlinear complementarity problems with asymptotically bounded    multifunctions: existence and sensitivity results
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Speaker: Fabian Flores-Bazan (Universidad de Concepcion, Chile)
Seminari di Calcolo delle Variazioni e Analisi Geometrica
1 Jun 2011

   Dipartimento di Matematica - Sala Seminari - ore 17:00

   ABSTRACT: Given a multifunction F: R^n[+] - - > R^n and q in R^n, the
   multivalued complementarity problem (MCP) on the positive orthant
   consists in finding x greater than or equal to 0, y in F(x) such that
   y+q is greater than or equal to 0 and < y+q,x > = 0. Such a formulation
   appears in many applications in Science and Engineering and therefore
   was the object of many investigations in the last three decades. Most
   of the works existing in the literature deal with the case when F is
   pseudomonotone (in the Karamardian sense) or quasimonotone, and only a
   few assume copositivity. In this work we introduce the notion of
   asymptotic multifunction with respect to a class of re-scaling
   functions including those with slow growth, and the notion of
   asymptotic multifunction associated to a sequence of multifunctions
   rather to a single one. Based on these two concepts we establish new
   existence theorems for the MCP for a class of multifunctions larger
   than copositive. In addition, some sensitivity results, as well as a
   robustness property, are provided.


You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110601/