Calculus of directional coderivatives and normal cones in Asplund spaces

We study the directional Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings in Asplund spaces and establish extensive calculus results on these constructions under various operations of sets and mappings. We also develop calculus of the directional sequential normal co...

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Vydáno v:	Positivity : an international journal devoted to the theory and applications of positivity in analysis Ročník 21; číslo 3; s. 1115 - 1142
Hlavní autoři:	Long, Pujun, Wang, Bingwu, Yang, Xinmin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 01.09.2017 Springer Nature B.V
Témata:	Calculus Calculus of Variations and Optimal Control; Optimization Cones Econometrics Fourier Analysis Mathematics Mathematics and Statistics Operator Theory Potential Theory Directional Mordukhovich coderivative Variational analysis 49J53 49J52 Directional Mordukhovich normal cone 49J50 Strict differentiability Directional sequential normal compactness Generalized differential calculus Directional differentiability
ISSN:	1385-1292, 1572-9281
On-line přístup:	Získat plný text
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