Well-posed vector optimization problems and vector variational inequalities

Abstract

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them. The proposed concept of well-posedness for a vector optimization problem generalizes the notion of well-setness for scalar optimization problems, introduced in [2]. On the other side, the introduced definition of well-posednessfor a vector variational inequality extends the one given in [13] for the scalar case.

Keywords:

• Vector optimization
• vector variational inequality
• well-posedness