PC Points and their Application to Vector Optimization

AMS subject classification: 90C29, 90C48

In this paper we present some results concerning stability under perturbations and some topological properties of minimal point sets in vector optimization. A common feature of all these results is that they exploit the notion of a point of continuity (PC point) of a subset of a topological vector space. The concept of a PC point plays an important role in investigation of the geometry of Banach spaces.