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Journal of Convex Analysis 13 (2006), No. 2, 373--384
Copyright Heldermann Verlag 2006

Vector Quasi-Variational Inequalities: Approximate Solutions and Well-Posedness

M. B. Lignola
UniversitÓ di Napoli, Dip. di Matematica e Applicazioni, Via Claudio 21, 80125 Napoli, Italy

J. Morgan
UniversitÓ di Napoli, Dip. di Matematica e Statistica, Complesso Monte San Angelo, Via Cintia, 80126 Napoli, Italy

We introduce some concepts of approximate solutions for Vector Quasi-Variational Inequalities and we investigate the associated concepts of well-posedness, in line with Tikhonov well-posedness for optimization problems, non-cooperative games and scalar variational inequalities.

Keywords: Vector quasi-variational inequality, set-valued mapping, well-posedness, approximate solution, monotonicity, pseudomonotonicity.

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