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1. Generalized Motzkin Theorems of the Alternative and Vector Optimization Problems.

Author

ZENG, R. and CARON, R. J.

Subjects
MATHEMATICAL optimization, INTEGRAL theorems, VECTOR spaces, MATHEMATICAL analysis, MATHEMATICS, MAXIMA & minima, OPERATIONS research, CONVEX domains, VECTOR analysis
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]

Published
2006
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