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Optimality conditions and the basic constraint qualification for quasiconvex programming
Authors:Satoshi Suzuki  Daishi Kuroiwa
Institution:
  • Interdisciplinary Graduate School of Science and Engineering, Shimane University, Japan
  • Interdisciplinary Faculty of Science and Engineering, Shimane University, Japan
  • Abstract:In this paper, we consider optimality conditions and a constraint qualification for quasiconvex programming. For this purpose, we introduce a generator and a new subdifferential for quasiconvex functions by using Penot and Volle’s theorem.
    Keywords:Quasiconvex programming  Optimality condition  Constraint qualification  Subdifferential
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