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Journal of Optimization Theory and Applications

, Volume 107, Issue 2, pp 433–446 | Cite as

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

  • Y. D. Hu
  • C. Ling
Article

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.

cone efficient point set cone superefficient point set cone weakly compact set connectedness 

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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Y. D. Hu
    • 1
  • C. Ling
    • 2
  1. 1.School of Mathematics and Information ScienceWenzhou UniversityWenzhouP.R. China
  2. 2.Department of Fundamental ScienceZhejiang Institute of Finance and EconomicsHangzhouP.R. China

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