Über lösbarkeitseigenschaften homogener linearer ungleiehungen in halbgeordneten räumen
- 1 January 1976
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 7 (2) , 281-294
- https://doi.org/10.1080/02331887608801295
Abstract
Properites of the solutions of dual homogeneous linear inequality systems in order complete topological vector lattices are investigated. Especially, a feneralization of the Tucker complementary slackness theorem is proved. Various examples illustrate the application of the obtained resu lts to infinte homogeneou linear inequality systems and to infinte linear programming problems.Keywords
This publication has 3 references indexed in Scilit:
- Topological Vector SpacesPublished by Springer Nature ,1971
- Sur la Séparation des Ensembles ConvexesMathematische Annalen, 1966
- A generalization of the Alaoglu-Bourbaki theorem and its applicationsMathematische Zeitschrift, 1965