Suchergebnisse - Directional Mordukhovich coderivative
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Calculus of directional subdifferentials and coderivatives in Banach spaces
ISSN: 1385-1292, 1572-9281Veröffentlicht: Cham Springer International Publishing 01.03.2017Veröffentlicht in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.03.2017)“… 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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Calculus of directional coderivatives and normal cones in Asplund spaces
ISSN: 1385-1292, 1572-9281Veröffentlicht: Cham Springer International Publishing 01.09.2017Veröffentlicht in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.09.2017)“… 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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Projectional Coderivatives and Calculus Rules
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.12.2023Veröffentlicht in Set-valued and variational analysis (01.12.2023)“… 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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Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021Veröffentlicht in Mathematical programming (01.09.2021)“… Furthermore, by introducing a projectional coderivative of set-valued mappings, we establish a verifiable generalized Mordukhovich criterion for the Lipschitz-like property relative to a closed and convex set …”
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Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.12.2024Veröffentlicht in Journal of optimization theory and applications (01.12.2024)“… We find exact expressions for Mordukhovich derivatives (which are also called Mordukhovich coderivatives …”
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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.09.2025Veröffentlicht in Set-valued and variational analysis (01.09.2025)“… > 0 is the radius. We also establish a formula for computing the Mordukhovich coderivative of P B ( c , r …”
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First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing
ISSN: 0233-1934, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis Group 01.01.2011Veröffentlicht in Optimization (01.01.2011)“… , generalized second-order directional derivatives, graphical derivatives of first-order subdifferentials and second-order subdifferentials defined via coderivatives …”
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Directionally generalized differentiation and applications to set-valued optimization, multiobjective optimal control problems
ISSN: 0233-1934, 1029-4945Veröffentlicht: 20.02.2025Veröffentlicht in Optimization (20.02.2025)Volltext
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