Výsledky vyhledávání - (("limiting coderivatives") OR ("lighting coderivatives"))
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 02.04.2016Vydáno v 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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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 24.11.2016Vydáno v 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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A survey of subdifferential calculus with applications
ISSN: 0362-546X, 1873-5215Vydáno: Elsevier Ltd 01.12.1999Vydáno v Nonlinear analysis (01.12.1999)Získat plný text
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4
On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.06.2021Vydáno v Set-valued and variational analysis (01.06.2021)“…This paper concerns the interconnection between the positive definiteness of limiting coderivative and the local strong maximal monotonicity of set-valued mappings suspected in Mordukhovich and Nghia (SIAM J. Optim. 26 , 1032…”
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Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets
ISSN: 0233-1934, 1029-4945Vydáno: 27.05.2025Vydáno v Optimization (27.05.2025)Získat plný text
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On the Aubin property of solution maps to parameterized variational systems with implicit constraints
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 02.08.2020Vydáno v Optimization (02.08.2020)“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
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On the Aubin property of a class of parameterized variational systems
ISSN: 1432-2994, 1432-5217Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017Vydáno v Mathematical methods of operations research (Heidelberg, Germany) (01.12.2017)“… The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
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Some Remarks on Stability of Generalized Equations
ISSN: 0022-3239, 1573-2878Vydáno: Boston Springer US 01.12.2013Vydáno v Journal of optimization theory and applications (01.12.2013)“…The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations,…”
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On the Coderivative of the Projection Operator onto the Second-order Cone
ISSN: 0927-6947, 1572-932XVydáno: Dordrecht Springer Netherlands 01.12.2008Vydáno v Set-valued analysis (01.12.2008)“…The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone is computed. This result is used to obtain a sufficient condition…”
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On regular coderivatives in parametric equilibria with non-unique multipliers
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer-Verlag 01.12.2012Vydáno v 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). The…”
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Calmness of efficient solution maps in parametric vector optimization
ISSN: 0925-5001, 1573-2916Vydáno: Boston Springer US 01.12.2011Vydáno v Journal of global optimization (01.12.2011)“… More explicitly, new sufficient conditions in terms of the Fréchet and limiting coderivatives of parametric multifunctions for this efficient solution map to have the…”
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First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.10.2015Vydáno v Journal of global optimization (01.10.2015)“… Using the formulas of regular and limiting coderivatives and generalized Clarke’s Jacobian of the projection operator onto second-order cones from the literature, we present the S-, M-, C- and A-stationary conditions for a MPSCC problem…”
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Codifferential Calculus
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.12.2011Vydáno v Set-valued and variational analysis (01.12.2011)“… We first establish inclusions for contingent, Fréchet and limiting coderivatives. Combining them, we get equality rules…”
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On the role of semismoothness in nonsmooth numerical analysis: Theory
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 23.05.2024Vydáno v arXiv.org (23.05.2024)“…, by limiting coderivatives or by SC (subspace containing) derivatives. As a byproduct we identify a class of multifunctions having the remarkable property that they are strictly proto-differentiable almost everywhere (with respect to some Hausdorff measure) on their graph…”
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On the Aubin property of a class of parameterized variational systems
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 03.04.2017Vydáno v arXiv.org (03.04.2017)“… The new criterion requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
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Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.12.2024Vydáno v 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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Strong metric subregularity of mappings in variational analysis and optimization
ISSN: 0022-247X, 1096-0813Vydáno: Elsevier Inc 15.01.2018Vydáno v Journal of mathematical analysis and applications (15.01.2018)“…Although the property of strong metric subregularity of set-valued mappings has been present in the literature under various names and with various…”
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On New Generalized Differentials with Respect to a Set and Their Applications
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.09.2024Vydáno v Set-valued and variational analysis (01.09.2024)“… We present the ideas of the limiting coderivative and subdifferential with respect to a set of multifunctions and singleton mappings, respectively, based on these normal cones…”
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On Stability of M-stationary Points in MPCCs
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.09.2014Vydáno v Set-valued and variational analysis (01.09.2014)“… To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting…”
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Point-based characterization of generalized metric subregularity in Asplund spaces
ISSN: 0233-1934, 1029-4945Vydáno: 18.11.2025Vydáno v Optimization (18.11.2025)Získat plný text
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