Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces |
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| Authors: | Y D Hu C Ling |
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| Institution: | (1) School of Mathematics and Information Science, Wenzhou University, Wenzhou, P.R. China;(2) Department of Fundamental Science, Zhejiang Institute of Finance and Economics, Hangzhou, P.R. China |
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| 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. |
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| Keywords: | cone efficient point set cone superefficient point set cone weakly compact set connectedness |
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