Connectedness of the Set of Efficient Solutions for Generalized Systems

X. H. Gong and J. C. Yao ()
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X. H. Gong: Nanchang University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2008, vol. 138, issue 2, No 3, 189-196

Abstract: 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.

Keywords: Generalized systems; Efficient solutions; Density theorems; Connectedness (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10957-008-9378-2

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