Search Results - Directional Mordukhovich coderivative
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Calculus of directional subdifferentials and coderivatives in Banach spaces
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.03.2017Published 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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2
Calculus of directional coderivatives and normal cones in Asplund spaces
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.09.2017Published 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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3
Projectional Coderivatives and Calculus Rules
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.12.2023Published 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, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021Published 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, 1573-2878Published: New York Springer US 01.12.2024Published 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, 1877-0541Published: Dordrecht Springer Netherlands 01.09.2025Published 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, 1029-4945Published: Philadelphia Taylor & Francis Group 01.01.2011Published 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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8
Directionally generalized differentiation and applications to set-valued optimization, multiobjective optimal control problems
ISSN: 0233-1934, 1029-4945Published: 20.02.2025Published in Optimization (20.02.2025)Get full text
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