Connectedness of the Set of Efficient Solutions for Generalized Systems |
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Authors: | X H Gong J C Yao |
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Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, 330047, China;(2) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan |
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Abstract: | We introduce the concept of positive proper efficient solutions to the generalized system in this paper. We show that, under
some suitable conditions, the set of positive proper efficient solutions is dense in the set of efficient solutions to the
generalized system. We discuss also the connectedness of the set of efficient solutions for the generalized system with monotone
bifunctions in real locally convex Hausdorff topological vector spaces.
This research was partially supported by the National Natural Science Foundation of China (10561007), the Natural Science
Foundation of Jiangxi Province, China, and a grant from the National Science Council of ROC. |
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Keywords: | Generalized systems Efficient solutions Density theorems Connectedness |
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