Images of sets by continuous multifunction with compact and convex values

Abstract

In the present paper we consider some properties of a continuous multifunction with compact and convex values. It is proven that the image of a path-wise connected set is also path-wise connected, but for a strongly injective multifunction with a compact feasible domain the path-wise connected property of the feasible domain is equivalent to a path-wise connected property of its image.Mathematics Subject Classification: 54C05, 54C15, 54C60, 54C65