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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| 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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| _version_ | 1832545684130103296 |
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| author | Vasile Postolică |
| author_facet | Vasile Postolică |
| author_sort | Vasile Postolică |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ede767a333ae4d55ae8ecaf207b30c0f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ede767a333ae4d55ae8ecaf207b30c0f2025-02-03T07:25:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004643469348310.1155/S0161171204203337Efficiency and Choquet boundaries in separated locally convex spacesVasile Postolică0Faculty of Sciences, Romanian Academy of Scientists - Bacău State University, Bacău 600115, RomaniaThis 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.http://dx.doi.org/10.1155/S0161171204203337 |
| spellingShingle | Vasile Postolică Efficiency and Choquet boundaries in separated locally convex spaces International Journal of Mathematics and Mathematical Sciences |
| title | Efficiency and Choquet boundaries in separated locally convex spaces |
| title_full | Efficiency and Choquet boundaries in separated locally convex spaces |
| title_fullStr | Efficiency and Choquet boundaries in separated locally convex spaces |
| title_full_unstemmed | Efficiency and Choquet boundaries in separated locally convex spaces |
| title_short | Efficiency and Choquet boundaries in separated locally convex spaces |
| title_sort | efficiency and choquet boundaries in separated locally convex spaces |
| url | http://dx.doi.org/10.1155/S0161171204203337 |
| work_keys_str_mv | AT vasilepostolica efficiencyandchoquetboundariesinseparatedlocallyconvexspaces |