Contractibility and Connectedness of Efficient Point Sets

X. Y. Zheng
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X. Y. Zheng: Yunnan University

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 3, No 11, 717-737

Abstract: Abstract Using the technique of space theory and set-valued analysis, we establish contractibility results for efficient point sets in a locally convex space and a path connectedness result for a positive proper efficient point set in a reflexive space. We also prove a connectedness result for a positive proper efficient point set in a locally convex space; as an application, we give a connectedness result for an efficient solution set in a locally convex space.

Keywords: efficient point set; positive proper efficient point set; contractibility; connectedness (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004649928081

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