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Necessary and sufficient conditions for some constraint qualifications in quasiconvex programming
Authors:Satoshi Suzuki  Daishi Kuroiwa
Institution:
  • Interdisciplinary Faculty of Science and Engineering, Shimane University, 1060, Nishikawatsu, Matsue, Shimane 690-8504, Japan
  • Abstract:In this paper, we investigate relations between constraint qualifications in quasiconvex programming. At first, we show a necessary and sufficient condition for the closed cone constraint qualification for quasiconvex programming (Q-CCCQ), and investigate some sufficient conditions for the Q-CCCQ. Also, we consider a relation between the Q-CCCQ and the basic constraint qualification for quasiconvex programming (Q-BCQ) and we compare the Q-BCQ with some constraint qualifications.
    Keywords:Quasiconvex programming  Constraint qualification
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