Výsledky vyhledávání - "Mordukhovich coderivative"
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On the coderivative of the projection operator onto the positive cone in Hilbert spaces
ISSN: 0233-1934, 1029-4945Vydáno: 04.11.2024Vydáno v Optimization (04.11.2024)Získat plný text
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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.01.2019Vydáno v Journal of optimization theory and applications (01.01.2019)“…The main concern of this paper is to investigate the Lipschitzian-like stability property (namely Aubin property) of the solution map of possibly nonmonotone…”
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Global homeomorphism of nonsmooth mappings using pseudo-Jacobian on Riemannian manifolds
ISSN: 0009-725X, 1973-4409Vydáno: Milan Springer Milan 01.04.2020Vydáno v 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, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.08.2009Vydáno v 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, 1096-0813Vydáno: Amsterdam Elsevier Inc 01.09.2011Vydáno v 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…”
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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, 2315-4144Vydáno: Singapore Springer Singapore 01.03.2018Vydáno v Acta mathematica vietnamica (01.03.2018)“…In this paper, we study the Mordukhovich coderivative and the local metric regularity in Robinson’s sense of the solution map to a parametric dynamic…”
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On some Fermat rules for set-valued optimization problems
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis Group 01.05.2011Vydáno 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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Calculus of directional subdifferentials and coderivatives in Banach spaces
ISSN: 1385-1292, 1572-9281Vydáno: Cham Springer International Publishing 01.03.2017Vydáno v 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, 1572-9281Vydáno: Cham Springer International Publishing 01.09.2017Vydáno v 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, 1096-0813Vydáno: San Diego, CA Elsevier Inc 15.08.2008Vydáno v Journal of mathematical analysis and applications (15.08.2008)“…This paper concerns the study of weak and firm local efficiency in constrained mathematical problems governed by set-valued mappings. We derive optimality…”
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Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems
ISSN: 1862-4472, 1862-4480Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013Vydáno v Optimization letters (01.12.2013)“…The purpose of this paper is to consider the set-valued optimization problem in Asplund spaces without convexity assumption. By a scalarization function…”
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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets
ISSN: 0022-3239, 1573-2878Vydáno: Boston Springer US 01.04.2013Vydáno v Journal of optimization theory and applications (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
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.03.2011Vydáno 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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Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities
ISSN: 0022-3239, 1573-2878Vydáno: Boston Springer US 01.04.2012Vydáno v Journal of optimization theory and applications (01.04.2012)“…This paper establishes an upper estimate for the Fréchet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite…”
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NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES
ISSN: 0866-787XVydáno: Dalat University 01.09.2012Vydáno v Tạp chí Khoa học Đại học Đà Lạt (01.09.2012)“…This paper establishes an upper estimate for the Frechet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in…”
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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS
ISSN: 0866-787XVydáno: Dalat University 01.06.2012Vydáno v Tạp chí Khoa học Đại học Đà Lạt (01.06.2012)Získat plný text
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Some Variants of the Ekeland Variational Principle for a Set-Valued Map
ISSN: 0022-3239, 1573-2878Vydáno: New York, NY Springer 01.01.2005Vydáno v Journal of optimization theory and applications (01.01.2005)“…This paper deals with the Ekeland variational principle (EVP) for a set-valued map F with values in a vector space E. Using the concept of cone extension and…”
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Lagrange multipliers for set-valued optimization problems associated with coderivatives
ISSN: 0022-247X, 1096-0813Vydáno: San Diego, CA Elsevier Inc 15.11.2005Vydáno v Journal of mathematical analysis and applications (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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