Title: Approximate efficiency in infinite dimensional ordered vector spaces

Authors: Vasile Postolica

Addresses: Romanian Academy of Scientists, Bacau State University, Faculty of Sciences, Department of Mathematics and Computer Science, B-dul Traian nr. 11, Bl. A1, Sc. A, Apt. 13, 610136-Piatra Neamt, Romania

Abstract: The research paper is focused on a new concept of efficiency and to its immediate links with optimisation. This most general concept of approximate efficiency generalises the usual concept of efficiency in ordered vector spaces, so it has also significant implications in applied management science. As a main argument in this direction, we present our recent coincidence result between the approximate efficient points sets and a special kind of Choquet boundaries. In this way, the efficiency is connected with Potential Theory, its applications and conversely.

Keywords: approximate efficiency; infinite dimensional ordered vector spaces; management science; Isac|s cone; Choquet boundary; optimisation; potential theory.

DOI: 10.1504/IJAMS.2009.023706

International Journal of Applied Management Science, 2009 Vol.1 No.3, pp.300 - 314

Published online: 08 Mar 2009 *

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