New existence results for efficient points in locally convex spaces ordered by supernormal cones |
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Authors: | Vasile Postolica |
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Institution: | (1) Department of Mathematics, B-dul Traian nr. 11, bl. A1, sc. A, ap. 13, 5600 Piatra Neamç, Romania |
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Abstract: | In this paper, the definition of supernormality for convex cones in locally convex spaces is discussed in detail on many interesting examples. Starting from the new direction for the study of the existence of efficient points (Pareto type optimums) in locally convex spaces offered by the concept of supernormal (nuclear) cone, we establish some existence results for the efficient points using boundedness and completeness of conical sections induced by non-empty subsets and we specify properties for the sets of efficient points beside important remarks |
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Keywords: | Supernormal cone well based cone H-locally convex space efficient point conebounded (cone closed) set |
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