A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. The relationship between the ic-cone convexlike set-valued map and the nearly cone subconvexlike set-valued map is established. The results in this paper generalize some known results in the literature from locally convex spaces to linear spaces.
"The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/105617