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

M. B. Lignola; J. Morgan

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

M. B. Lignola

Università di Napoli, Dip. di Matematica e Applicazioni, Via Claudio 21, 80125 Napoli, Italy

lignola@unina.it

J. Morgan

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

morgan@unina.it

Keywords

Vector quasi-variational inequality
set-valued mapping
well-posedness
approximate solution
monotonicity
pseudomonotonicity

Suggested citation

M. B. Lignola, J. Morgan. “Vector Quasi-Variational Inequalities: Approximate Solutions and Well-Posedness.” Journal of Convex Analysis 13 (2006), No. 2, 373–384.