Contractibility of the Efficient Frontier of Three-Dimensional Simply-Shaded Sets |
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| Authors: | Benoist J Popovici N |
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| Institution: | (1) LACO, UPRESSA 6090, University of Limoges, Limoges, France;(2) Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj, Romania |
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| Abstract: | The aim of this paper is to study the geometrical and topological structure of the efficient frontier of simply-shaded sets in a three-dimensional Euclidean space with respect to the usual positive cone. Our main result concerns the contractibility of the efficient frontier and refines a recent result of Daniilidis, Hadjisavvas, and Schaible (Ref. 1) regarding the connectedness of the efficient outcome set for three-criteria optimization problems involving continuous semistrictly quasiconcave objective functions. |
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| Keywords: | Vector optimization efficiency contractibility semistrict quasiconcavity |
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