Search Results - "mordukhovich coderivative"
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The Mordukhovich Coderivative and the Local Metric Regularity of the Solution Map to a Parametric Discrete Optimal Control Problem
ISSN: 0251-4184, 2315-4144Published: Singapore Springer Singapore 01.03.2018Published in Acta mathematica vietnamica (01.03.2018)“…In this paper, we study the Mordukhovich coderivative and the local metric regularity…”
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On the coderivative of the projection operator onto the positive cone in Hilbert spaces
ISSN: 0233-1934, 1029-4945Published: 04.11.2024Published in Optimization (04.11.2024)Get full text
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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.01.2019Published in Journal of optimization theory and applications (01.01.2019)“… Using Mordukhovich coderivative criterion and a second-order subdifferential analysis, we provide simple and verifiable characterizations of this property in terms of the data involved in the problem…”
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Global homeomorphism of nonsmooth mappings using pseudo-Jacobian on Riemannian manifolds
ISSN: 0009-725X, 1973-4409Published: Milan Springer Milan 01.04.2020Published in Rendiconti del Circolo matematico di Palermo (01.04.2020)“…We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the…”
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On the co-derivative of normal cone mappings to inequality systems
ISSN: 0362-546X, 1873-5215Published: Amsterdam Elsevier Ltd 01.08.2009Published in Nonlinear analysis (01.08.2009)“…The paper deals with co-derivative formulae for normal cone mappings to smooth inequality systems. Both the regular (Linear Independence Constraint…”
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New results on linearly perturbed polyhedral normal cone mappings
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier Inc 01.09.2011Published 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…”
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On some Fermat rules for set-valued optimization problems
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis Group 01.05.2011Published in 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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Calculus of directional subdifferentials and coderivatives in Banach spaces
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.03.2017Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (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…”
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Calculus of directional coderivatives and normal cones in Asplund spaces
ISSN: 1385-1292, 1572-9281Published: Cham Springer International Publishing 01.09.2017Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (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…”
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Optimality conditions for weak and firm efficiency in set-valued optimization
ISSN: 0022-247X, 1096-0813Published: San Diego, CA Elsevier Inc 15.08.2008Published in Journal of mathematical analysis and applications (15.08.2008)“… We derive optimality conditions by means of the Bouligand derivative and by means of the Mordukhovich coderivative as well…”
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11
Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013Published in Optimization letters (01.12.2013)“… By a scalarization function introduced by Tammer and Weidner (J Optim Theory Appl 67:297–320, 1990 ), we obtain the Lagrangian condition for approximate solutions on set-valued optimization problems in terms of the Mordukhovich coderivative…”
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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets
ISSN: 0022-3239, 1573-2878Published: Boston Springer US 01.04.2013Published 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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13
Linearly perturbed polyhedral normal cone mappings and applications
ISSN: 0362-546X, 1873-5215Published: Amsterdam Elsevier Ltd 01.03.2011Published 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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Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities
ISSN: 0022-3239, 1573-2878Published: Boston Springer US 01.04.2012Published in Journal of optimization theory and applications (01.04.2012)“… Under a positive linear independence assumption on the normal vectors of the active constraints at the point in question, the result leads to an upper estimate for values of the Mordukhovich…”
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NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES
ISSN: 0866-787XPublished: Dalat University 01.09.2012Published in Tạp chí Khoa học Đại học Đà Lạt (01.09.2012)“… estimate for values of the Mordukhovich coderivative of such mappings. On the basis, new results on solution stability of parametric affine variational inequalities…”
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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS
ISSN: 0866-787XPublished: Dalat University 01.06.2012Published in Tạp chí Khoa học Đại học Đà Lạt (01.06.2012)Get full text
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Covering constants for metric projection operator with applications to stochastic fixed-point problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.08.2025Published in Journal of global optimization (01.08.2025)“… (Mordukhovich coderivative), which has been widely applied to optimization theory, equilibrium theory, variational analysis, with respect to set-valued mappings…”
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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.09.2025Published in Set-valued and variational analysis (01.09.2025)“… > 0 is the radius. We also establish a formula for computing the Mordukhovich coderivative of P B ( c , r…”
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Characterization of Convex and Generalized Convex Vector Fields on Riemannian Manifolds
ISSN: 1017-060X, 1735-8515Published: Singapore Springer Nature Singapore 01.12.2022Published in Bulletin of the Iranian Mathematical Society (01.12.2022)“… The inclusive relations between Clarke generalized Jacobian and Mordukhovich coderivative and this subdifferential are proved…”
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On the sensitivity of Pareto efficiency in set-valued optimization problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.11.2020Published in Journal of global optimization (01.11.2020)“… . The concept of criticality is understood in the Fermat generalized sense by means of limiting (Mordukhovich) coderivative…”
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