IJPAM: Volume 44, No. 1 (2008)

POINTWISE WELL-POSEDNESS IN VECTOR
OPTIMIZATION AND VARIATIONAL INEQUALITIES

Rosa Ferrentino
Faculty of Economics
University of Salerno
via Ponte Don Melillo, Fisciano, 84084, ITALY
e-mail: rferrentino@unisa.it


Abstract.In this note we consider some notions of well-posedness for scalar and vector variational inequalities and we recall their connections with optimization problems. Subsequently, we investigate similar connections between well-posedness of a vector optimization problem and a related variational inequality problem and we present a result obtained with scalar characterizations of vector optimality concepts.

Received: April 5, 2007

AMS Subject Classification: 90C29, 90C31, 49K40

Key Words and Phrases: well-posedness, vector optimization, vector variational inequalities

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 1