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Generalized Motzkin Theorems of the Alternative and Vector Optimization Problems.
- Source :
- Journal of Optimization Theory & Applications; Nov2006, Vol. 131 Issue 2, p281-299, 19p
- Publication Year :
- 2006
-
Abstract
- In this paper, we introduce a definition of generalized convexlike functions (preconvexlike functions). Then, under the weakened convexity, we study vector optimization problems in Hausdorff topological linear spaces. We establish some generalized Motzkin theorems of the alternative. By use of these theorems of the alternative, we obtain some Lagrangian multiplier theorems. A saddle-point theorem and a scalarization theorem are also derived. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 131
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23770465
- Full Text :
- https://doi.org/10.1007/s10957-006-9140-6