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

Zhi-Ang Zhou

Abstract and Applied Analysis, 2013, vol. 2013, 1-4

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:105617

DOI: 10.1155/2013/105617

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