Generalized differentiation of piecewise linear functions in second-order variational analysis

The paper is devoted to a comprehensive second-order study of a remarkable class of convex extended-real-valued functions that is highly important in many aspects of nonlinear and variational analysis, specifically those related to optimization and stability. This class consists of lower semicontinu...

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Veröffentlicht in:	Nonlinear analysis Jg. 132; S. 240 - 273
Hauptverfasser:	Mordukhovich, Boris S., Sarabi, M. Ebrahim
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.02.2016
Schlagworte:	Coderivatives Convexity Differentiation Equivalence First-order and second-order subdifferentials Mathematical analysis Nonlinear and variational analysis Nonlinearity Normal cones Optimization Piecewise linear extended-real-valued functions Stability Sum rules Normal cones 49J53 49J52 Piecewise linear extended-real-valued functions 58C20 Nonlinear and variational analysis First-order and second-order subdifferentials Coderivatives
ISSN:	0362-546X, 1873-5215
Online-Zugang:	Volltext
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