Vector Optimization Problems and Generalized Vector Variational-Like Inequalities

Abstract

In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector variational-like inequalities and vector optimization problems are established.

Keywords

• nonsmooth functions
• limiting subdifferential
• pseudoinvex functions
• vector variational-like inequalities
• vector optimization problems