Second-order conditions in C11 optimization with applications

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32 Citations (Scopus)

Abstract

Second-order necessary conditions for inequality and equality constrained C1, 1 optimization problems are derived. A constraint qualification condition which uses the recent generalized second-order directional derivative is employed to obtain these conditions. Various second-order sufficient conditions are given under appropriate conditions on the generalized second-order directional derivative in a neighborhood of a given point. An application of the second order conditions to a new class of nonsmooth C1, 1 optimization problems with infinitely many constraints is presented.
Original languageEnglish
Pages (from-to)621-632
Number of pages12
JournalNumerical Functional Analysis and Optimization
Volume14
Issue number5-6
DOIs
Publication statusPublished - 1 Jan 1993
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Signal Processing
  • Computer Science Applications
  • Control and Optimization

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