Efficient Sets of Convex Compacta are Arcwise Connected

E. K. Makarov and N. N. Rachkovski
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E. K. Makarov: National Academy of Sciences of Belarus
N. N. Rachkovski: Belorussian State Pedagogical University

Journal of Optimization Theory and Applications, 2001, vol. 110, issue 1, No 8, 159-172

Abstract: Abstract We prove that the efficient point set Max(Q|K) of a compact convex set Q⊂X in a Hausdorff topological vector space X ordered by a closed convex pointed cone K⊂X with nonempty K +i:={l⊂K\{0}:l(x)>0} is arcwise connected.

Keywords: vector optimization; efficient set; arcwise connectedness (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017599614183

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