Výsledky vyhľadávania - Directional coderivative*

Calculus of directional coderivatives and normal cones in Asplund spaces Autor Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…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…”
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Directionally generalized differentiation for multifunctions and applications to set-valued programming problems Autor Thinh, Vo Duc, Chuong, Thai Doan

“…The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones…”
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Calculus of directional subdifferentials and coderivatives in Banach spaces Autor Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…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…”
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On the Aubin property of solution maps to parameterized variational systems with implicit constraints Autor Gfrerer, Helmut, Outrata, Jiří V.

“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
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On the Aubin property of a class of parameterized variational systems Autor Gfrerer, H., Outrata, J. V.

“… The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
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On the directional asymptotic approach in optimization theory Autor Benko, Matúš, Mehlitz, Patrick

“… (corresponding to stationarity of order 1), satisfies stationarity conditions in terms of a coderivative construction of order $$\gamma $$ γ…”
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Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions Autor Isac, G., Li, J. L.

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Directional Hölder Metric Regularity Autor Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel

“…This paper sheds new light on regularity of multifunctions through various characterizations of directional…”
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On the directional asymptotic approach in optimization theory: The directional asymptotic approach Autor Benko, Matúš, Mehlitz, Patrick

“… (corresponding to stationarity of order 1), satisfies stationarity conditions in terms of a coderivative construction of order γ…”
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Calculus for Directional Limiting Normal Cones and Subdifferentials Autor Benko, Matúš, Gfrerer, Helmut, Outrata, Jiří V.

“…The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions…”
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Directionally generalized differentiation and applications to set-valued optimization, multiobjective optimal control problems Autor Toan, N. T., Thuy, L. Q.

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On Lipschitzian properties of implicit multifunctions Autor Gfrerer, Helmut, Outrata, Jiří V

“… As the basic tool one employs the directional limiting coderivative which, together with the graphical derivative, enable us a fine analysis of the local behavior of the investigated multifunction…”
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A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization Autor Ha, Truong Xuan Duc

“… We introduce a Hausdorff-type distance relative to an ordering cone between two sets in a Banach space and use it to define a directional derivative for F…”
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Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model Autor Van Ngai, Huynh, Tron, Nguyen Huu, Van Vu, Nguyen, Théra, Michel

“…)regularity models studied recently in the literature. Some slope and abstract coderivative characterizations are established…”
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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces Autor Hien, Le Van

“…In this paper, we first derive an exact formula for computing the regular coderivative of the metric projection operator onto closed balls r B centered at the origin in Hilbert spaces…”
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Projectional Coderivatives and Calculus Rules Autor Yao, Wenfang, Meng, Kaiwen, Li, Minghua, Yang, Xiaoqi

“…This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and the corresponding calculus rules in finite dimensional spaces…”
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Metric Regularity Relative to a Cone Autor Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel

“… For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation…”
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On the directional asymptotic approach in optimization theory Autor Benko, Matúš, Mehlitz, Patrick

“… (corresponding to stationarity of order \(1\)), satisfies stationarity conditions in terms of a coderivative construction of order \(\gamma…”
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On the directional asymptotic approach in optimization theory Part B: constraint qualifications Autor Benko, Matúš, Mehlitz, Patrick

“… by incorporating directional data. We compare these new directional asymptotic regularity conditions with standard constraint qualifications from nonsmooth optimization…”
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Lipschitz-like property relative to a set and the generalized Mordukhovich criterion Autor Meng, K. W., Li, M. H., Yao, W. F., Yang, X. Q.

“… We will obtain a complete characterization for a set-valued mapping to have the Lipschitz-property relative to a closed and convex set by virtue of the projection of the coderivative onto a tangent cone…”
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