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Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems |
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| Authors: | Pham Duy Khanh Tran Hong Mo Trinh T T Tran |
| Institution: | 1. Department of Mathematics, HCMC University of Pedagogy, Ho Chi Minh City, Vietnam;2. Center for Mathematical Modeling, University of Chile, Santiago, Chile;3. Tien Giang University, Tien Giang Province, Vietnam;4. Department of Mathematics and Statistics, Oakland University, Rochester, Michigan, USA |
| Abstract: | Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article. As illustrations for the results, we investigate the parametric version of Gale’s example. |
| Keywords: | Closedness complementary slackness dual pair duality infinite dimensional linear programing separation theorem solvability |