Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming

We develop various (exact) calculus rules for Fréchet lower and upper subgradients of extended-real-valued functions in real Banach spaces. Then we apply this calculus to derive new necessary optimality conditions for some remarkable classes of problems in constrained optimization including minimiza...

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Veröffentlicht in:	Optimization Jg. 55; H. 5-6; S. 685 - 708
Hauptverfasser:	Mordukhovich, B. S., Nam, N. M., Yen, N. D.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Philadelphia Taylor & Francis Group 01.10.2006 Taylor & Francis LLC
Schlagworte:	Calculus Coderivatives Difference-type functions Fréchet normals Geometric and operator constraints Mathematical functions Mathematics Subject Classifications 2000 Necessary optimality conditions Optimization Primary: 49J52 Secondary: 90C30 Studies Subdifferential calculus Subgradients Variational analysis and constrained optimization Weak sharp minima
ISSN:	0233-1934, 1029-4945
Online-Zugang:	Volltext
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