Suchergebnisse - projection coderivative
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On the coderivative of the projection operator onto the positive cone in Hilbert spaces
ISSN: 0233-1934, 1029-4945Veröffentlicht: 04.11.2024Veröffentlicht in Optimization (04.11.2024)Volltext
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On the Coderivative of the Projection Operator onto the Second-order Cone
ISSN: 0927-6947, 1572-932XVeröffentlicht: Dordrecht Springer Netherlands 01.12.2008Veröffentlicht in Set-valued analysis (01.12.2008)“… The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone is computed …”
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On the Coderivative of the Projection Operator onto the Second-order Cone
ISSN: 1877-0533, 1572-932X, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.09.2009Veröffentlicht in Set-Valued and Variational Analysis (01.09.2009)Volltext
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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)“… 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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On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 10.07.2024Veröffentlicht in arXiv.org (10.07.2024)“… We first establish the formula for exactly computing the regular coderivative and the Mordukhovich coderivative of the metric projection operator onto the positive cone in Euclidean spaces …”
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Regular Coderivative and Graphical Derivative of the Metric Projection onto closed Balls in Hilbert spaces
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.06.2024Veröffentlicht in arXiv.org (26.06.2024)“… In this paper, we first establish a formula for exactly computing the regular coderivative of the metric projection operator onto closed balls \(r\mathbb{B …”
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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)“… 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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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)“… In this paper, we study the generalized differentiability of the metric projection operator in Hilbert spaces …”
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Normal coderivative for multifunctions and implicit function theorems
ISSN: 0022-247X, 1096-0813Veröffentlicht: San Diego, CA Elsevier Inc 01.02.2008Veröffentlicht in Journal of mathematical analysis and applications (01.02.2008)“… In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained …”
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Full Stability of General Parametric Variational Systems
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.12.2018Veröffentlicht in Set-valued and variational analysis (01.12.2018)“… The paper introduces and studies the notions of Lipschitzian and Hölderian full stability of solutions to three-parametric variational systems described in the …”
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First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
ISSN: 0925-5001, 1573-2916Veröffentlicht: New York Springer US 01.10.2015Veröffentlicht in Journal of global optimization (01.10.2015)“… Using the formulas of regular and limiting coderivatives and generalized Clarke’s Jacobian of the projection operator onto second-order cones from the literature, we present the S-, M-, C- and A-stationary conditions for a MPSCC problem …”
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Covering constants for metric projection operator with applications to stochastic fixed-point problems
ISSN: 0925-5001, 1573-2916Veröffentlicht: New York Springer US 01.08.2025Veröffentlicht in Journal of global optimization (01.08.2025)“… (Mordukhovich coderivative), which has been widely applied to optimization theory, equilibrium theory, variational analysis, with respect to set-valued mappings …”
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Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 22.09.2020Veröffentlicht in arXiv.org (22.09.2020)“… 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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About Intrinsic Transversality of Pairs of Sets
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.03.2018Veröffentlicht in Set-valued and variational analysis (01.03.2018)“… and coderivative calculus, and convergence analysis of computational algorithms. One of the main motivations for the development of the transversality theory of collections …”
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Broken-FEEC discretizations and Hodge Laplace problems
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 13.02.2024Veröffentlicht in arXiv.org (13.02.2024)“… This article studies structure-preserving discretizations of Hilbert complexes with nonconforming spaces that rely on projections onto an underlying conforming subcomplex …”
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About intrinsic transversality of pairs of sets
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 12.09.2017Veröffentlicht in arXiv.org (12.09.2017)“… and coderivative calculus, and convergence analysis of computational algorithms. One of the main motivations for the development of the transversality theory of collections …”
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