Relatively convex sets and functions inRn
作者:
Josef Nedoma,
期刊:
Mathematische Operationsforschung und Statistik. Series Optimization
(Taylor Available online 1979)
卷期:
Volume 10,
issue 1
页码: 3-16
ISSN:0323-3898
年代: 1979
DOI:10.1080/02331937908842538
出版商: Akademic-Verlag
数据来源: Taylor
摘要:
In order to extend the concept of a convex set to the subsets of nonlinear manifolds, the so-called relative convexity to a convex cone is defined. The relative convexity provides the possibility to generalize the concept of a convex function in such a manner that it can be used to formulate the criteria of global optimality for a class of nonconvex optimization problems.
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