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A notion of local proper efficiency in the Borwein sense in vector optimisation

Published online by Cambridge University Press:  17 February 2009

B. Jiménez  and
V. Novo
B. Jiménez
Affiliation:
Department of Applied Mathematics, UNED, Apartado 60149 (28080) Madrid, Spain; e-mail: [email protected].
V. Novo
Affiliation:
Department of Applied Mathematics, UNED, Apartado 60149 (28080) Madrid, Spain; e-mail: [email protected].
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 1 , July 2003 , pp. 75 - 89
Copyright
Copyright © Australian Mathematical Society 2003

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