Search Results - coderivative calculus*

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  1. 1

    Projectional Coderivatives and Calculus Rules by Yao, Wenfang, Meng, Kaiwen, Li, Minghua, Yang, Xiaoqi

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.12.2023
    Published in Set-valued and variational analysis (01.12.2023)
    “…This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and the corresponding calculus rules in finite dimensional spaces…”
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    Journal Article
  2. 2

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

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 2009
    Published 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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  3. 3

    Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces by Mordukhovich, Boris S., Nam, Nguyen Mau

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.02.2009
    “…This paper is devoted to the development of variational analysis and generalized differentiation in the framework of Asplund spaces. We mainly concern the…”
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  4. 4
  5. 5

    Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces by Nam, Nguyen Mau, Phan, Hung M., Wang, Bingwu

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.12.2019
    Published in Set-valued and variational analysis (01.12.2019)
    “… We establish a fuzzy intersection rule for bornological normal cones and develop fuzzy calculus for bornological generalized differential constructions as well as exact calculus for the limiting…”
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  6. 6

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

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.07.2016
    Published in Optimization (02.07.2016)
    “… Fréchet and Mordukhovich calculus coupled with the Gerstewitz's (Tammer's) scalarizing functional and openness results for set-valued maps…”
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  7. 7

    Projectional Coderivatives and Calculus Rules by Yao, Wenfang, Meng, Kaiwen, Li, Minghua, Yang, Xiaoqi

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 04.11.2022
    Published in arXiv.org (04.11.2022)
    “…This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions…”
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  8. 8

    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 results on these constructions…”
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  9. 9

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

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 18.08.2025
    Published in Optimization (18.08.2025)
    “…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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  10. 10

    Conditioning of linear-quadratic two-stage stochastic optimization problems by Emich, Konstantin, Henrion, René, Römisch, Werner

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014
    Published in Mathematical programming (01.12.2014)
    “…) probability distribution the solution set of the problem. Being the outer norm of the Mordukhovich coderivative of this multifunction, the condition number…”
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  11. 11

    A survey of subdifferential calculus with applications by Borwein, Jonathan M., Zhu, Qiji J.

    ISSN: 0362-546X, 1873-5215
    Published: Elsevier Ltd 01.12.1999
    Published in Nonlinear analysis (01.12.1999)
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  12. 12

    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 extended-real-valued functions…”
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  13. 13

    Fuzzy calculus for coderivatives of multifunctions by Mordukhovich, Boris S., Shao, Yongheng

    ISSN: 0362-546X, 1873-5215
    Published: Elsevier Ltd 01.09.1997
    Published in Nonlinear analysis (01.09.1997)
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  14. 14

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

    ISSN: 1052-6234, 1095-7189
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
    Published in SIAM journal on optimization (01.01.2007)
    “… To conduct this analysis, we develop new results on coderivative calculus for structural…”
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  15. 15

    Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings by Jourani, A, Thibault, L

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 01.02.1998
    “…This paper establishes by a general approach a full calculus for the limiting Fréchet and the approximate coderivatives of multivalued mappings…”
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  16. 16

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

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 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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  17. 17

    coderivatives of set-valued mappings: Calculus and applications by Mordukhovich, Boris S.

    ISSN: 0362-546X, 1873-5215
    Published: Elsevier Ltd 01.12.1997
    Published in Nonlinear analysis (01.12.1997)
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  18. 18

    Coderivative Analysis of Variational Systems by Mordukhovich, Boris S.

    ISSN: 0925-5001, 1573-2916
    Published: Dordrecht Springer Nature B.V 01.04.2004
    Published in Journal of global optimization (01.04.2004)
    “… Based on these characterizations and extended coderivative calculus, we obtain efficient conditions for Lipschitzian stability of variational systems governed by parametric generalized equations and their specifications. [PUBLICATION ABSTRACT]…”
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  19. 19

    Stability Criteria and Calculus Rules via Conic Contingent Coderivatives in Banach Spaces by Mordukhovich, Boris S, Wu, Pengcheng, Yang, Xiaoqi

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 10.01.2024
    Published in arXiv.org (10.01.2024)
    “… Our tools of generalized differentiation revolves around the newly introduced concept of \(\varepsilon\)-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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  20. 20

    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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