On New Generalized Differentials with Respect to a Set and Their Applications

The notions and certain fundamental characteristics of the proximal and limiting normal cones with respect to a set are first presented in this paper. We present the ideas of the limiting coderivative and subdifferential with respect to a set of multifunctions and singleton mappings, respectively, b...

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Bibliographic Details
Published in:	Set-valued and variational analysis Vol. 32; no. 3; p. 27
Main Authors:	Qin, Xiaolong, Duc Thinh, Vo, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.09.2024 Springer Nature B.V
Subjects:	Analysis Cones Constraining Euclidean space Mathematics Mathematics and Statistics Optimality criteria Optimization 90C31 Subdifferential with respect to a set 90C30 Aubin property with respect to a set 49J53 Coderivative with respect to a set Optimality condition Normal cone with respect to a set
ISSN:	1877-0533, 1877-0541
Online Access:	Get full text
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