Template-Type: ReDIF-Paper 1.0
Author-Name: Brinkhuis, J.
Author-Name-Last: Brinkhuis
Author-Name-First: Jan
Author-Name: Zhang, S.
Author-Name-Last: Zhang
Author-Name-First: Shuzhong
Title: A D-induced duality and its applications
Abstract: This paper attempts to extend the notion of duality for convex cones, by basing it on a  predescribed conic ordering and a fixed bilinear mapping. This is an extension of the standard  definition of dual cones, in the sense that the nonnegativity of the inner-product is replaced  by a pre-specified conic ordering, defined by a convex cone D, and the inner-product itself is  replaced by a general multi-dimensional bilinear mapping. This new type of duality is termed  the D-induced duality in the paper. Basic properties of the extended duality, including the  extended bi-polar theorem, are proven. Examples are give to show the applications of the  new results.
Creation-Date: 2002-10-02
File-URL: https://repub.eur.nl/pub/547/feweco20021002153723.pdf
File-Format: application/pdf
Series: RePEc:ems:eureir
Number: EI 2002-34
Keywords: Bi-polar theorem, Conic optimization, Convex cones, Duality
Handle: RePEc:ems:eureir:547