Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications

This paper provides formulas for calculating Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings. These calculations are obtained under some qualification constraints and are expressed in the similar forms of the...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 203; no. 3; pp. 2784 - 2817
Main Authors:	Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2024 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Cones Constraining Constraints Engineering Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Theory of Computation 90C31 90C30 49J53 Coderivative with respect to a set Calculation rule Optimality condition Normal cone with respect to a set
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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