Search Results - coderivatives of multivalued mappings

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  1. 1

    Coderivatives of multivalued mappings, locally compact cones and metric regularity by Jourani, A., Thibault, L.

    ISSN: 0362-546X, 1873-5215
    Published: Elsevier Ltd 01.03.1999
    Published in Nonlinear analysis (01.03.1999)
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    Journal Article
  2. 2

    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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    Journal Article
  3. 3

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

    ISSN: 0025-5610, 1436-4646
    Published: Heidelberg Springer 01.03.2004
    Published 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
  4. 4

    Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions by Durea, Marius, Huynh, Van Ngai, Nguyen, Huu Tron, Strugariu, Radu

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 01.04.2014
    “…) and allow us to obtain two new proofs of a recent result having deep roots in the topic of regularity of mappings…”
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    Journal Article
  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)
    “… In the nonregular, nonpolyhedral case a generalized transformation formula by Mordukhovich and Outrata applies, however, a major difficulty consists in checking a calmness condition of a certain multivalued mapping…”
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  6. 6

    Nonlinear metric regularity on fixed sets by Tron, Nguyen Huu, Han, Dao Ngoc, Ngai, Huynh Van

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 03.06.2023
    Published in Optimization (03.06.2023)
    “… Slope and coderivative characterizations of these models are given. The stability of the Milyutin regularity is investigated when the initial set-valued mapping…”
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    Journal Article
  7. 7

    Metric Regularity of the Sum of Multifunctions and Applications by Ngai, Huynh Van, Tron, Nguyen Huu, Théra, Michel

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.02.2014
    “…The metric regularity of multifunctions plays a crucial role in modern variational analysis and optimization. This property is a key to study the stability of…”
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  8. 8

    Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces by Mordukhovich, Boris S., Shao, Yongheng, Zhu, Qiji

    ISSN: 1385-1292, 1572-9281
    Published: Heidelberg Springer 01.03.2000
    “…This paper concerns with generalized differentiation of set-valued and nonsmooth mappings between Banach spaces…”
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    Journal Article
  9. 9

    Codifferential Calculus by Li, Shengjie, Penot, Jean-Paul, Xue, Xiaowei

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.12.2011
    Published in Set-valued and variational analysis (01.12.2011)
    “…In this paper, some exact calculus rules are obtained for calculating the coderivatives of the composition of two multivalued maps…”
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  10. 10

    A general metric regularity in asplund banach spaces by Amahroq, T., Jourani, A., Thibault, L.

    ISSN: 0163-0563, 1532-2467
    Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1998
    “…This paper establishes a simple and easily-applied criterion for determining whether a multivalued mapping is metrically regular relatively to a subset…”
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    Journal Article
  11. 11

    Desingularization of the Sweeping Process Mapping by Daniilidis, Aris, Tapia-García, Sebastián

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 17.10.2021
    Published in arXiv.org (17.10.2021)
    “…In [9], the celebrated KŁ-inequality has been extended from definable functions \(f:\mathbb{R}^{n}\rightarrow\mathbb{R} \) to definable multivalued maps…”
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    Paper
  12. 12

    Extensions of generalized differential calculus in Asplund spaces by Mordukhovich, Boris S., Wang, Bingwu

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 01.08.2002
    “…We develop an extended generalized differential calculus for normal cones to nonconvex sets, coderivatives of set-valued mappings, and subdifferential of extended-real-valued functions in infinite dimensions…”
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    Journal Article
  13. 13

    Calculus of sequential normal compactness in variational analysis by Mordukhovich, Boris S., Wang, Bingwu

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 01.06.2003
    “…In this paper we study some properties of sets, set-valued mappings, and extended-real-valued functions unified under the name…”
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  14. 14

    Metric Inequality, Subdifferential Calculus and Applications by Ngai, Huynh Van, Théra, Michel

    ISSN: 0927-6947, 1572-932X
    Published: 01.03.2001
    Published in Set-valued analysis (01.03.2001)
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    Journal Article