Survey paper: Optimality conditions in smooth nonlinear programming

G. Still, Martin Streng

    Research output: Contribution to journalArticleAcademicpeer-review

    15 Citations (Scopus)
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    This survey is concerned with necessary and sufficient optimality conditions for smooth nonlinear programming problems with inequality and equality constraints. These conditions deal with strict local minimizers of order one and two and with isolated minimizers. In most results, no constraint qualification is required. The optimality conditions are formulated in such a way that the gaps between the necessary and sufficient conditions are small and even vanish completely under mild constraint qualifications.
    Original languageEnglish
    Pages (from-to)483-516
    Number of pages34
    JournalJournal of optimization theory and applications
    Issue number3
    Publication statusPublished - 1996


    • Nonlinear programming
    • Necessary and sufficient optimality conditions
    • Isolated minimizers
    • Strong and strict local minimizers


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