[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica
magnani at dm.unipi.it
magnani at dm.unipi.it
Fri May 27 11:15:52 CEST 2011
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/
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