Abstract and Applied Analysis

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

Zhi-Ang Zhou

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 105617, 4 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511918

Digital Object Identifier
doi:10.1155/2013/105617

Mathematical Reviews number (MathSciNet)
MR3064516

Zentralblatt MATH identifier
1296.49023

Citation

Zhou, Zhi-Ang. The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 105617, 4 pages. doi:10.1155/2013/105617. https://projecteuclid.org/euclid.aaa/1393511918


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