Lineare Optimierung in halbgeordneten Vektorräumen |
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Authors: | Dr Werner Krabs |
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Institution: | (1) Institut für Angewandte Mathematik der Universität, Rothenbaumchaussee 67-69, 2 Hamburg 13 |
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Abstract: | Summary The problem of linear programming in partially ordered vector spaces is formulated as an immediate generalization of the same problem in Euclidean spaces. Sufficient conditions for the existence of solutions of the problem and its dual are obtained. In the special case of function spaces the sufficient conditions for the solvability of the dual problem are satisfied if a certain regularity condition is assumed.
This research was supported by the Air Force Office of Scientific Research under grant AF-AFO SR-93 7-6 7 |
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