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The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces

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  • Zhi-Ang Zhou

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.

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  • Zhi-Ang Zhou, 2013. "The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-4, June.
    • Handle: RePEc:hin:jnlaaa:105617
    DOI: 10.1155/2013/105617
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