Výsledky vyhledávání - "Frechet coderivative"

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  2. 2

    Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative Autor Deng, Xicai, Liu, Yibo, Zhong, Chongyi

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Vydáno: Cham Springer International Publishing 01.12.2025
    “…In this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a…”
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    Journal Article
  3. 3

    Fréchet $$\sigma $$-subdifferential calculus rules and applications Autor Alizadeh, Mohammad Hossein, Zanjani, Alireza Youhannaee

    ISSN: 1385-1292, 1572-9281
    Vydáno: Dordrecht Springer Nature B.V 01.11.2025
    “…We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference…”
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    Journal Article
  4. 4

    Sensitivity Analysis in Parametric Convex Vector Optimization Autor An, Duong Thi Viet, Tung, Le Thanh

    ISSN: 1877-0533, 1877-0541
    Vydáno: Dordrecht Springer Netherlands 01.12.2024
    Vydáno v Set-valued and variational analysis (01.12.2024)
    “…In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation,…”
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  5. 5

    Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization Autor Xue, Xiaowei

    ISSN: 1029-242X, 1029-242X
    Vydáno: Cham Springer International Publishing 14.10.2020
    “…The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem. By…”
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  6. 6

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

    ISSN: 0022-247X, 1096-0813
    Vydáno: 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…”
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    Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization Autor Chuong, Thai Doan, Yao, Jen-Chih

    ISSN: 0925-5001, 1573-2916
    Vydáno: Boston Springer US 01.12.2013
    Vydáno v Journal of global optimization (01.12.2013)
    “…In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric…”
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  8. 8

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

    ISSN: 0233-1934, 1029-4945
    Vydáno: Philadelphia Taylor & Francis Group 01.05.2011
    Vydáno v 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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  9. 9

    A note on implicit multifunction theorems Autor Nghia, T. T. A.

    ISSN: 1862-4472, 1862-4480
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2014
    Vydáno v Optimization letters (01.01.2014)
    “…The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known…”
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  10. 10

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

    ISSN: 0022-3239, 1573-2878
    Vydáno: Boston Springer US 01.04.2013
    “…In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the…”
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    Linearly perturbed polyhedral normal cone mappings and applications Autor Qui, Nguyen Thanh

    ISSN: 0362-546X, 1873-5215
    Vydáno: Amsterdam Elsevier Ltd 01.03.2011
    Vydáno v 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…”
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    Openness results for parametric set-valued mappings in Asplund spaces Autor Yang, Ming-ge, Xu, Yi-fan

    ISSN: 1862-4472, 1862-4480
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014
    Vydáno v Optimization letters (01.12.2014)
    “…In this paper, we first prove a lemma about the lower semicontinuity of the distance function in infinite dimensional spaces, which is crucial to openness…”
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  13. 13

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

    ISSN: 0003-6811, 1563-504X
    Vydáno: Abingdon Taylor & Francis Group 01.06.2011
    Vydáno v Applicable analysis (01.06.2011)
    “…This article analyses and develops furthermore the existing upper and lower estimates for the Fréchet and normal coderivatives of implicit multifunctions…”
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  14. 14

    Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials Autor Clason, Christian, Valkonen, Tuomo

    ISSN: 1877-0533, 1877-0541
    Vydáno: Dordrecht Springer Netherlands 01.03.2017
    Vydáno v Set-valued and variational analysis (01.03.2017)
    “…We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using…”
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    Lagrange multipliers for set-valued optimization problems associated with coderivatives Autor Ha, Truong Xuan Duc

    ISSN: 0022-247X, 1096-0813
    Vydáno: San Diego, CA Elsevier Inc 15.11.2005
    “…In this paper we investigate a vector optimization problem ( P ) where objective and constraints are given by set-valued maps. We show that by mean of marginal…”
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