Generalized convex spaces, L-spaces, and FC-spaces

  • Authors:

  • Sehie Park

  • Affiliations:

  • The National Academy of Sciences, Seoul, Korea 137-044 and Department of Mathematical Sciences, Seoul National University, Seoul, Korea 151-747

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2009

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Abstract

We show that FC-spaces due to Ding are particular types of L-spaces due to Ben-El-Mechaiekh et al., and hence particular types of G-convex spaces. Some counter-examples are given and related matters are also discussed.