An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems

Hidefumi Kawasaki

研究成果: Contribution to journalArticle査読

105 被引用数 (Scopus)

抄録

A group of curves generates a new curve which is called an envelope. When one deals with a minimization problem with infinitely many inequality constraints, one must encounter an envelopelike effect caused by the constraints. In this paper we present second-order necessary conditions, which involve a new term besides the second derivative of the Lagrange function. We apply our results to minimizing problems of sup-type functions. One will observe in examples that the new term given in this paper explains well the behavior of the second directional derivative of the sup-type function.

本文言語英語
ページ(範囲)73-96
ページ数24
ジャーナルMathematical Programming
41
1-3
DOI
出版ステータス出版済み - 5 1 1988

All Science Journal Classification (ASJC) codes

  • ソフトウェア
  • 数学 (全般)

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