Note on algebraic interior systems

2005 ◽  
Vol 25 (2) ◽  
pp. 149
Author(s):  
Ivan Chajda
Keyword(s):  
Algebraic Interior

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

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Zhi-Ang Zhou
Keyword(s):  
Convex Set ◽  
Locally Convex Spaces ◽  
Linear Spaces ◽  
Algebraic Interior ◽  
Vector Closure ◽  
Ordered Linear Spaces ◽  
The Relationship ◽  
Locally Convex ◽  
Convex Spaces

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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