Suchergebnisse - professional coderivative

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  1. 1

    Coderivative-based semi-Newton method in nonsmooth difference programming von Aragón-Artacho, Francisco J., Mordukhovich, Boris S., Pérez-Aros, Pedro

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer Nature B.V 01.09.2025
    Veröffentlicht in Mathematical programming (01.09.2025)
    “… We propose and develop a novel Newton-type algorithm to solving such problems, which is based on the coderivative generated second-order subdifferential (generalized Hessian …”
    Volltext
    Journal Article
  2. 2

    The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem von Toan, N. T., Thuy, L. Q.

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: New York Springer US 01.10.2023
    Veröffentlicht in Applied mathematics & optimization (01.10.2023)
    “… By establishing an abstract result on the Clarke coderivative of the frontier map of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Clarke …”
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    Journal Article
  3. 3

    Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization von An, Duong Thi Viet, Hung, Nguyen Huy, Van Tuyen, Nguyen

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.08.2024
    Veröffentlicht in Journal of optimization theory and applications (01.08.2024)
    “… In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing the basic subdifferential …”
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    Journal Article
  4. 4

    Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces von Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 18.08.2025
    Veröffentlicht in Optimization (18.08.2025)
    “… -regular normal cone to sets and associated coderivative notions for set-valued mappings …”
    Volltext
    Journal Article
  5. 5

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

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.01.2019
    Veröffentlicht in Journal of optimization theory and applications (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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    Journal Article
  6. 6

    Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization von Mordukhovich, Boris S., Outrata, Jiří V.

    ISSN: 1052-6234, 1095-7189
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
    Veröffentlicht in SIAM journal on optimization (01.01.2007)
    “… The main tools of our variational analysis involve coderivatives of solution maps to quasi-variational inequalities, which allow us to obtain efficient conditions for robust Lipschitzian stability …”
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    Journal Article
  7. 7

    Coderivatives in parametric optimization von Levy, Adam B., Mordukhovich, Boris S.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer 01.03.2004
    Veröffentlicht in Mathematical programming (01.03.2004)
    “… Coderivatives of set-valued mappings are our basic tool to analyze the parametric sensitivity of either stationary points or stationary point-multiplier pairs associated with parameterized optimization problems …”
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    Journal Article
  8. 8

    Coderivatives of implicit multifunctions and stability of variational systems von Qui, Nguyen Thanh

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.07.2016
    Veröffentlicht in Journal of global optimization (01.07.2016)
    “… We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces …”
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    Journal Article
  9. 9

    Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure von Florea, Elena-Andreea

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 02.07.2016
    Veröffentlicht in Optimization (02.07.2016)
    “… In this paper, we define two new concepts of efficiency for vector optimization with variable ordering structure, namely the sharp and robust efficiencies, and …”
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    Journal Article
  10. 10

    On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality von Zhang, Jie, Li, Yu-xin, Zhang, Li-wei

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: Boston Springer US 01.02.2015
    Veröffentlicht in Journal of global optimization (01.02.2015)
    “… The explicit representation of Mordukhovich coderivative of a solution mapping to a second-order cone constrained parametric variational inequality is established by the reduction approach …”
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    Journal Article
  11. 11

    Coderivative Analysis of Variational Systems von Mordukhovich, Boris S.

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: Dordrecht Springer Nature B.V 01.04.2004
    Veröffentlicht in Journal of global optimization (01.04.2004)
    “… The main tools of our analysis involve coderivatives of set-valued mappings that turn out to be proper extensions of the adjoint derivative operator to nonsmooth and set-valued mappings …”
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    Journal Article
  12. 12

    On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations von Wei, Zhou, Yao, Jen-Chih

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.04.2018
    Veröffentlicht in Journal of optimization theory and applications (01.04.2018)
    “… /Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications …”
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    Journal Article
  13. 13

    On regular coderivatives in parametric equilibria with non-unique multipliers von Henrion, R., Outrata, J. V., Surowiec, T.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.12.2012
    Veröffentlicht in Mathematical programming (01.12.2012)
    “… This paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations (GEs …”
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    Journal Article Tagungsbericht
  14. 14

    Coderivative calculus and metric regularity for constraint and variational systems von Geremew, W., Mordukhovich, B.S., Nam, N.M.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 2009
    Veröffentlicht in Nonlinear analysis (2009)
    “… on appropriate coderivative constructions for set-valued mappings and on extended calculus rules supporting their computation and estimation …”
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    Journal Article
  15. 15

    On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications von Gfrerer, Helmut, Outrata, Jiří V.

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 02.04.2016
    Veröffentlicht in Optimization (02.04.2016)
    “… The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions …”
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    Journal Article
  16. 16

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

    ISSN: 1385-1292, 1572-9281
    Veröffentlicht: 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 extended-real-valued functions …”
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    Journal Article
  17. 17

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

    ISSN: 1385-1292, 1572-9281
    Veröffentlicht: 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 results on these constructions …”
    Volltext
    Journal Article
  18. 18

    Generalized Coderivative-Based Newtonian Methods in Nonsmooth Nonconvex Optimization and Applications von Thanh Phat, Vo

    ISBN: 9798384453833
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2024
    “… This dissertation proposes and develops new Newton-type methods to solve nonconvex and nonsmooth optimization problems with justifying their fast local and …”
    Volltext
    Dissertation
  19. 19

    Coderivatives of a KarushaKuhnaTucker point set map and applications von Lee, G M, Yen, N D

    ISSN: 0362-546X
    Veröffentlicht: 01.01.2014
    Veröffentlicht in Nonlinear analysis (01.01.2014)
    “… The problem of minimizing a linearaquadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear …”
    Volltext
    Journal Article
  20. 20

    Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities von Nam, Nguyen Mau

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.10.2010
    Veröffentlicht in Nonlinear analysis (01.10.2010)
    “… In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings …”
    Volltext
    Journal Article