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...

Full description

Saved in:

Bibliographic Details
Published in:	Nonlinear analysis Vol. 132; pp. 240 - 273
Main Authors:	Mordukhovich, Boris S., Sarabi, M. Ebrahim
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.02.2016
Subjects:	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 Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!