Abstract
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.
Citation
Zhi-Ang Zhou. "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
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