Calculus of directional subdifferentials and coderivatives in Banach spaces

In this work we study the directional versions of Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings, and subdifferentials of extended-real-valued functions in the framework of general Banach spaces. We establish some characterizations and basic properties of these con...

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Bibliographic Details
Published in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 21; no. 1; pp. 223 - 254
Main Authors:	Long, Pujun, Wang, Bingwu, Yang, Xinmin
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.03.2017 Springer Nature B.V
Subjects:	Banach spaces Calculus Calculus of Variations and Optimal Control; Optimization Econometrics Fourier Analysis Mathematical analysis Mathematical functions Mathematics Mathematics and Statistics Operator Theory Optimization Potential Theory Studies Directional Mordukhovich coderivative Variational analysis Directional Mordukhovich subdifferential 49J53 49J52 Directional Mordukhovich normal cone 49J50 Strict differentiability Generalized differential calculus Marginal function Directional differentiability
ISSN:	1385-1292, 1572-9281
Online Access:	Get full text
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