Efficiency and Choquet boundaries in separated locally convex spaces
This research paper is devoted to the study of the properties for Pareto-type efficient point sets in separated locally convex spaces, based upon an earlier result on the coincidence of Pareto-type efficient point sets and the Choquet boundaries and the natural corresponding extension for the approx...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204203337 |
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| Summary: | This research paper is devoted to the study of the properties for
Pareto-type efficient point sets in separated locally convex
spaces, based upon an earlier result on the
coincidence of Pareto-type efficient point sets and the Choquet
boundaries and the natural corresponding extension for the
approximate efficient point sets in Hausdorff locally convex
spaces. Both of these results represent an important connection
between two great fields of mathematics: vector optimization and
potential theory. |
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| ISSN: | 0161-1712 1687-0425 |