Verallgemeinert konvexe vektorfunktionen und der anwendung in der vektoroptimierung
作者:
Helga Hartwig,
期刊:
Mathematische Operationsforschung und Statistik. Series Optimization
(Taylor Available online 1979)
卷期:
Volume 10,
issue 3
页码: 303-316
ISSN:0323-3898
年代: 1979
DOI:10.1080/02331937908842581
出版商: Akademic-Verlag
数据来源: Taylor
摘要:
Generalized convexity properties of vector functions inRn/Rmwith respect to a convex cone are studied. It is shown that the well-known connections between the various kinds of convexity, quasi-and pseudoconvexity of functionals can be extended to vector functions only to a part. The study of convexity properties with respect to convex polyhedral cones yields correspondences between the properties of vector functions and their components, respectively linear combinations of their components. As an example for the application of generalized convex vector functions a vector optimization problem with semi orderings defined by convex cones is considered. Besides a necessary and sufficient condition for the convexity of the feasible set, sufficient optimality conditions of Kuhn-Tucker and Fritz-John type are given.
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