Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming

The paper is devoted to the implicit function theorem involving singular mappings. We also discuss the form of the tangent cone to the solution set of the generalized equations in singular case and give some examples of applications to nonlinear programming and complementarity problems.

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Bibliographische Detailangaben
Veröffentlicht in:	Optimization letters 2019-11, Vol.13 (8), p.1745-1755
Hauptverfasser:	Bednarczuk, Ewa, Prusińska, Agnieszka, Tret’yakov, Alexey
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational Intelligence Mathematics Mathematics and Statistics Numerical and Computational Physics Operations Research/Decision Theory Optimization Original Paper Simulation
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The paper is devoted to the implicit function theorem involving singular mappings. We also discuss the form of the tangent cone to the solution set of the generalized equations in singular case and give some examples of applications to nonlinear programming and complementarity problems.
ISSN:	1862-4472 1862-4480
DOI:	10.1007/s11590-018-1347-6