Full Nuclear Cones and a Relation Between Strong Optimization and Pareto Efficiency |
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| Authors: | Email author" target="_blank">G?IsacEmail author Vasile?Postolic? |
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| Institution: | (1) Department of mathematics, Royal Military College of Canada, P.O. Box 17000, STN,Forces Kingston, Ontario, K7K7B4, Canada;(2) Romanian Academy of Scientists, Department of Mathematical Sciences B-dul Traian nr. 11, Bacău State University, bl. Al, sc. A, apt.13, 5600 Piatra Neamt, Romania |
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| Abstract: | In this paper we present some new and pertinent connections between the Strong Optimization and the Approximate Pareto type
Efficiency, in particular, with the usual Vector Optimization, at first in the Ordered Vector Spaces by the natural Convex
Cones and, afterwards, in the Ordered Hausdorff Locally Convex Spaces. The main result is obtained considering the notion
of full nuclear cone. Our results, is related to an appropriate scalarization method
Mathematics Subject Classification (2000). 90C29 |
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| Keywords: | full nuclear cone Pareto efficiency supernormal (nuclear) cone |
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