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A MISCELLANY OF SELECTION THEOREMS WITHOUT CONVEXITY
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  • Journal title : Honam Mathematical Journal
  • Volume 35, Issue 4,  2013, pp.757-764
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2013.35.4.757
 Title & Authors
A MISCELLANY OF SELECTION THEOREMS WITHOUT CONVEXITY
Kim, Hoonjoo;
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 Abstract
In this paper, we give sufficient conditions for a map with nonconvex values to have a continuous selection and the selection extension property in LC-metric spaces under the one-point extension property. And we apply it to weakly lower semicontinuous maps and generalize previous results. We also get a continuous selection theorem for almost lower semicontinuous maps with closed sub-admissible values in -trees.
 Keywords
selection;LC-metric space;weakly lower semicontinuous;quasi-lower semicontinuous;almost lower semicontinuous;one-point extension property;selection extension;hyperconvex;R-tree;
 Language
English
 Cited by
 References
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