Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces

Y. D. Hu and C. Ling
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Y. D. Hu: Wenzhou University
C. Ling: Zhejiang Institute of Finance and Economics

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 2, No 12, 433-446

Abstract: Abstract This paper studies the connectedness of the cone superefficient point set in locally convex topological vector spaces. First, we prove a scalarization theorem for a cone superefficient point set. From this result, we obtain the connectedness of a cone superefficient point set under the conditions that the set is cone convex and cone weakly compact.

Keywords: cone efficient point set; cone superefficient point set; cone weakly compact set; connectedness (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1026412918497

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