Search Results - projection coderivative

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    On the Coderivative of the Projection Operator onto the Second-order Cone by Outrata, Jiří V., Sun, Defeng

    ISSN: 0927-6947, 1572-932X
    Published: Dordrecht Springer Netherlands 01.12.2008
    Published 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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    Journal Article
  3. 3

    On the Coderivative of the Projection Operator onto the Second-order Cone by Outrata, Jiří V., Sun, Defeng

    ISSN: 1877-0533, 1572-932X, 1877-0541
    Published: Dordrecht Springer Netherlands 01.09.2009
    Published in Set-Valued and Variational Analysis (01.09.2009)
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    Journal Article
  4. 4

    Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces by Hien, Le Van

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.09.2025
    Published 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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  5. 5

    On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces by Le Van Hien, Nguyen, Viet Quan

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 10.07.2024
    Published 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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    Paper
  6. 6

    Regular Coderivative and Graphical Derivative of the Metric Projection onto closed Balls in Hilbert spaces by Le Van Hien

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 26.06.2024
    Published 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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  7. 7

    Lipschitz-like property relative to a set and the generalized Mordukhovich criterion by Meng, K. W., Li, M. H., Yao, W. F., Yang, X. Q.

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
    Published 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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  8. 8

    Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces by Li, Jinlu

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.12.2024
    “…In this paper, we study the generalized differentiability of the metric projection operator in Hilbert spaces…”
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    Journal Article
  9. 9

    Normal coderivative for multifunctions and implicit function theorems by Lee, G.M., Tam, N.N., Yen, N.D.

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 01.02.2008
    “…In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained…”
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    Journal Article
  10. 10

    Full Stability of General Parametric Variational Systems by Mordukhovich, B. S., Nghia, T. T. A., Pham, D. T.

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.12.2018
    Published 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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  11. 11

    First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints by Zhang, Yi, Wu, Jia, Zhang, Liwei

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.10.2015
    Published 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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  12. 12

    Covering constants for metric projection operator with applications to stochastic fixed-point problems by Li, Jinlu

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.08.2025
    Published 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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    Journal Article
  13. 13

    Lipschitz-like property relative to a set and the generalized Mordukhovich criterion by Meng, Kaiwen, Li, Minghua, Yao, Wenfang, Yang, Xiaoqi

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 22.09.2020
    Published 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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    Paper
  14. 14

    About Intrinsic Transversality of Pairs of Sets by Kruger, Alexander Y.

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.03.2018
    Published 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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  15. 15

    Broken-FEEC discretizations and Hodge Laplace problems by Campos-Pinto, Martin, Güçlü, Yaman

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 13.02.2024
    Published 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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  16. 16

    About intrinsic transversality of pairs of sets by Kruger, Alexander Y

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 12.09.2017
    Published 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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    Paper