Search Results - "mordukhovich coderivative"

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  1. 1

    The Mordukhovich Coderivative and the Local Metric Regularity of the Solution Map to a Parametric Discrete Optimal Control Problem by Thuy, Le Quang, Toan, Nguyen Thi

    ISSN: 0251-4184, 2315-4144
    Published: Singapore Springer Singapore 01.03.2018
    Published in Acta mathematica vietnamica (01.03.2018)
    “…In this paper, we study the Mordukhovich coderivative and the local metric regularity…”
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  2. 2
  3. 3

    A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics by Adly, Samir

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.01.2019
    “… Using Mordukhovich coderivative criterion and a second-order subdifferential analysis, we provide simple and verifiable characterizations of this property in terms of the data involved in the problem…”
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  4. 4

    Global homeomorphism of nonsmooth mappings using pseudo-Jacobian on Riemannian manifolds by Ghahraei, E.

    ISSN: 0009-725X, 1973-4409
    Published: Milan Springer Milan 01.04.2020
    “…We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the…”
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  5. 5

    On the co-derivative of normal cone mappings to inequality systems by Henrion, R., Outrata, J., Surowiec, T.

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 01.08.2009
    Published in Nonlinear analysis (01.08.2009)
    “…The paper deals with co-derivative formulae for normal cone mappings to smooth inequality systems. Both the regular (Linear Independence Constraint…”
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  6. 6

    New results on linearly perturbed polyhedral normal cone mappings by Qui, Nguyen Thanh

    ISSN: 0022-247X, 1096-0813
    Published: Amsterdam Elsevier Inc 01.09.2011
    “…This paper establishes an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the linearly perturbed normal cone mappings in reflexive Banach spaces…”
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  7. 7

    On some Fermat rules for set-valued optimization problems by Durea, M., Strugariu, R.

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis Group 01.05.2011
    Published in Optimization (01.05.2011)
    “…The aim of this article is to obtain necessary optimality conditions for Pareto minima in set-valued optimization problems. We employ a new method to derive…”
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  8. 8

    Calculus of directional subdifferentials and coderivatives in Banach spaces by Long, Pujun, Wang, Bingwu, Yang, Xinmin

    ISSN: 1385-1292, 1572-9281
    Published: Cham Springer International Publishing 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…”
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  9. 9

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

    ISSN: 1385-1292, 1572-9281
    Published: Cham Springer International Publishing 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…”
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  10. 10

    Optimality conditions for weak and firm efficiency in set-valued optimization by Durea, M.

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 15.08.2008
    “… We derive optimality conditions by means of the Bouligand derivative and by means of the Mordukhovich coderivative as well…”
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  11. 11

    Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems by Long, X. J., Li, X. B., Zeng, J.

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
    Published in Optimization letters (01.12.2013)
    “… By a scalarization function introduced by Tammer and Weidner (J Optim Theory Appl 67:297–320, 1990 ), we obtain the Lagrangian condition for approximate solutions on set-valued optimization problems in terms of the Mordukhovich coderivative…”
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  12. 12

    Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets by Huy, N. Q., Yao, J.-C.

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.04.2013
    “… the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets…”
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  13. 13

    Linearly perturbed polyhedral normal cone mappings and applications by Qui, Nguyen Thanh

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 01.03.2011
    Published in Nonlinear analysis (01.03.2011)
    “…Under a mild regularity assumption, we derive an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the normal cone mappings of perturbed polyhedra in reflexive Banach spaces…”
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  14. 14

    Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities by Qui, Nguyen Thanh

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.04.2012
    “… Under a positive linear independence assumption on the normal vectors of the active constraints at the point in question, the result leads to an upper estimate for values of the Mordukhovich…”
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  15. 15

    NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES by Nguyễn Thành Quí

    ISSN: 0866-787X
    Published: Dalat University 01.09.2012
    “… estimate for values of the Mordukhovich coderivative of such mappings. On the basis, new results on solution stability of parametric affine variational inequalities…”
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  17. 17

    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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  18. 18

    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)
    “… > 0 is the radius. We also establish a formula for computing the Mordukhovich coderivative of P B ( c , r…”
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  19. 19

    Characterization of Convex and Generalized Convex Vector Fields on Riemannian Manifolds by Ghahraei, Elham

    ISSN: 1017-060X, 1735-8515
    Published: Singapore Springer Nature Singapore 01.12.2022
    “… The inclusive relations between Clarke generalized Jacobian and Mordukhovich coderivative and this subdifferential are proved…”
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  20. 20

    On the sensitivity of Pareto efficiency in set-valued optimization problems by Durea, Marius, Strugariu, Radu

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.11.2020
    Published in Journal of global optimization (01.11.2020)
    “… . The concept of criticality is understood in the Fermat generalized sense by means of limiting (Mordukhovich) coderivative…”
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