Suchergebnisse - Normal coderivative

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  1. 1

    Fréchet and normal coderivatives of implicit multifunctions von Lee, G.M., Yen, N.D.

    ISSN: 0003-6811, 1563-504X
    Veröffentlicht: Abingdon Taylor & Francis Group 01.06.2011
    Veröffentlicht in Applicable analysis (01.06.2011)
    “… for the Fréchet and normal coderivatives of implicit multifunctions. Various counterexamples and examples are given …”
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  2. 2

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

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 01.02.2008
    Veröffentlicht 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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  3. 3

    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 …”
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  4. 4

    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 …”
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  5. 5

    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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  6. 6

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

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: Boston Springer US 01.04.2013
    Veröffentlicht in Journal of optimization theory and applications (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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  7. 7

    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 …”
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  8. 8

    Point-based sufficient conditions for metric regularity of implicit multifunctions von Yen, N.D., Yao, J.-C.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.04.2009
    Veröffentlicht in Nonlinear analysis (01.04.2009)
    “… 12 (2004) 195–223], Lee, Tam and Yen [G.M. Lee, N.N. Tam, N.D. Yen, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl. 338 (2008) 11–22 …”
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  9. 9

    Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions von Chieu, N.H., Yao, J.-C., Yen, N.D.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.05.2010
    Veröffentlicht in Nonlinear analysis (01.05.2010)
    “… By constructing some suitable examples, Jeyakumar and Yen (2004)  [1] have shown that the Robinson metric regularity (Rmr) and the Lipschitz-like property …”
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    Openness properties for parametric set-valued mappings and implicit multifunctions von Durea, M.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 15.01.2010
    Veröffentlicht in Nonlinear analysis (15.01.2010)
    “… The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces …”
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  12. 12

    Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems von Ha, Truong Xuan Duc

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.02.2012
    Veröffentlicht in Nonlinear analysis (01.02.2012)
    “… We present a new approach to the study of a set-valued equilibrium problem (for short, SEP) through the study of a set-valued optimization problem with a …”
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  13. 13

    Coderivatives of gap function for Minty vector variational inequality von Xue, Xiaowei, Zhang, Yu

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Veröffentlicht: Cham Springer International Publishing 17.09.2015
    Veröffentlicht in Journal of inequalities and applications (17.09.2015)
    “… First, we discuss the regular coderivative, the normal coderivative, and the mixed coderivative of a class of set-valued maps …”
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  14. 14

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

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.03.2011
    Veröffentlicht 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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  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: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 24.11.2016
    Veröffentlicht in arXiv.org (24.11.2016)
    “… The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to \(C^{2 …”
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  16. 16

    A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool von Maréchal, Matthieu

    ISSN: 2405-8440, 2405-8440
    Veröffentlicht: Elsevier Ltd 01.10.2023
    Veröffentlicht in Heliyon (01.10.2023)
    “… coderivative concept and of the partial sequential normal compactness …”
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  17. 17

    Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications von Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.12.2024
    Veröffentlicht in Journal of optimization theory and applications (01.12.2024)
    “… This paper provides formulas for calculating Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …”
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  18. 18

    Generalized Differentiation of a Class of Normal Cone Operators von Qui, Nguyen Thanh

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: Boston Springer US 01.05.2014
    Veröffentlicht in Journal of optimization theory and applications (01.05.2014)
    “… We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators …”
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  19. 19

    Coderivative Conditions for Error Bounds of γ-paraconvex Multifunctions von Huang, Hui

    ISSN: 1877-0533, 1877-0541
    Veröffentlicht: Dordrecht Springer Netherlands 01.12.2012
    Veröffentlicht in Set-valued and variational analysis (01.12.2012)
    “… -paraconvex multifunction are given. In terms of normal cone and coderivative, some results on the existence of error bounds are presented …”
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  20. 20

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

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Amsterdam Elsevier Inc 01.09.2011
    Veröffentlicht in Journal of mathematical analysis and applications (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 …”
    Volltext
    Journal Article