Well Posedness in Vector Optimization Problems and Vector Variational Inequalities

G. P. Crespi (), A. Guerraggio and M. Rocca
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G. P. Crespi: Université de la Vallée d’Aoste, Facoltà di Economia
A. Guerraggio: Università dell’Insubria
M. Rocca: Università dell’Insubria

Journal of Optimization Theory and Applications, 2007, vol. 132, issue 1, No 13, 213-226

Abstract: Abstract In this paper, we give notions of well posedness for a vector optimization problem and a vector variational inequality of the differential type. First, the basic properties of well-posed vector optimization problems are studied and the case of C-quasiconvex problems is explored. Further, we investigate the links between the well posedness of a vector optimization problem and of a vector variational inequality. We show that, under the convexity of the objective function f, the two notions coincide. These results extend properties which are well known in scalar optimization.

Keywords: Vector optimization; vector variational inequalities; well posedness (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (17)

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DOI: 10.1007/s10957-006-9144-2

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