On a property of partially ordered sets.
S. Todorcevic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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S. Todorcevic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Milan R. Tasković (1980)
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Štefan Černák (1991)
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K. C. Sivakumar (2008)
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Let X be a partially ordered real Banach space, a,b ∈ X with a ≤ b. Let ϕ be a bounded linear functional on X. We call X a Ben-Israel-Charnes space (or a B-C space) if the linear program defined by Maximize ϕ(x) subject to a ≤ x ≤ b has an optimal solution for any ϕ, a and b. Such problems arise naturally in solving a class of problems known as Interval Linear Programs. B-C spaces were introduced in the author's doctoral thesis and were subsequently studied in [8] and [9]. In this article,...
Kent, Darrell C., Richmond, T.A. (1990)
International Journal of Mathematics and Mathematical Sciences
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Arens, Richard (1951)
Portugaliae mathematica
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