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Stationarity and Regularity Concepts for Set Systems

  • A. Kruger
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)

Abstract

The paper investigates stationarity and regularity concepts for set systems in a normed space. Several primal and dual constants characterizing these properties are introduced and the relations between the constants are established. The equivalence between the regularity property and the strong metric inequality is established. The extended extremal principle is formulated.

keywords

nonsmooth analysis normal cone optimality extremality stationarity regularity set-valued mapping Asplund space 

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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • A. Kruger
    • 1
  1. 1.School of Information Technology and Mathematical Sciences, Centre of Information and Applied OptimizationUniversity of BallaratBallaratAustralia

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