ANZIAM  J.  45 (2003), 75-89
A notion of local proper efficiency in the Borwein sense in vector optimisation

B. Jiménez
  Department of Applied Mathematics
  UNED
  Apartado 60149 (28080) Madrid
  Spain
    bjimen1@encina.pntic.mec.es
and
V. Novo
  Department of Applied Mathematics
  UNED
  Apartado 60149 (28080) Madrid
  Spain
    vnovo@ind.uned.es


Abstract
In this paper we define two types of proper efficient solutions in the Borwein sense for vector optimisation problems and we compare them with the notions of local Borwein, Ishizuka-Tuan, Kuhn-Tucker and strict efficiency. A sufficient condition for a proper solution is also proved.
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