Higher-order necessary conditions in abstract mathematical programming

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1978 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 26, pages 533-568 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Hoffmann, K. H.; Kornstaedt, H. J.;

doi: 10.1007/bf00933151

Higher-order necessary conditions in abstract mathematical programming

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Abstract

We prove necessary extremum conditions for general nonlinear optimization problems in ordered topological vector spaces. For that reason, we define variational derivatives of higher order and introduce proper variations. Especially assuming certain weak hypotheses, we establish maximum principles of higher order.

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Nonlinear programming

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