Výsledky vyhledávání - "coderivatives"
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1
Projectional Coderivatives and Calculus Rules
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.12.2023Vydáno v 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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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.08.2024Vydáno v Journal of optimization theory and applications (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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Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 18.08.2025Vydáno v Optimization (18.08.2025)“…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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Coderivatives in parametric optimization
ISSN: 0025-5610, 1436-4646Vydáno: Heidelberg Springer 01.03.2004Vydáno v 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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Coderivatives of a Karush–Kuhn–Tucker point set map and applications
ISSN: 0362-546X, 1873-5215Vydáno: Elsevier Ltd 01.01.2014Vydáno v Nonlinear analysis (01.01.2014)“…The problem of minimizing a linear–quadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear…”
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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials
ISSN: 1877-0533, 1877-0541Vydáno: Dordrecht Springer Netherlands 01.03.2017Vydáno v Set-valued and variational analysis (01.03.2017)“… A main ingredient is an explicit pointwise characterization of the regular coderivative of the subdifferential of convex integral functionals…”
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Coderivatives of implicit multifunctions and stability of variational systems
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.07.2016Vydáno v Journal of global optimization (01.07.2016)“…We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces…”
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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.04.2018Vydáno v Journal of optimization theory and applications (01.04.2018)“…/Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications…”
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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…”
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Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization
ISSN: 1029-242X, 1029-242XVydáno: Cham Springer International Publishing 14.10.2020Vydáno v Journal of inequalities and applications (14.10.2020)“…The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem…”
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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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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 extended-real-valued functions…”
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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 results on these constructions…”
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Clarke coderivatives of efficient point multifunctions in parametric vector optimization
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 2011Vydáno v Nonlinear analysis (2011)“…The paper is devoted to the study of the Clarke/circatangent coderivatives of the efficient point multifunction of parametric vector optimization problems in Banach spaces…”
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Coderivatives of a KarushaKuhnaTucker point set map and applications
ISSN: 0362-546XVydáno: 01.01.2014Vydáno v Nonlinear analysis (01.01.2014)“…The problem of minimizing a linearaquadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear…”
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Coderivatives of gap function for Minty vector variational inequality
ISSN: 1029-242X, 1025-5834, 1029-242XVydáno: Cham Springer International Publishing 17.09.2015Vydáno v Journal of inequalities and applications (17.09.2015)“…The purpose of this paper is to investigate coderivatives of the gap function involving the Minty vector variational inequality…”
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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.10.2010Vydáno v Nonlinear analysis (01.10.2010)“…In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings…”
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Fréchet and normal coderivatives of implicit multifunctions
ISSN: 0003-6811, 1563-504XVydáno: Abingdon Taylor & Francis Group 01.06.2011Vydáno v Applicable analysis (01.06.2011)“… for the Fréchet and normal coderivatives of implicit multifunctions. Various counterexamples and examples are given…”
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Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.02.2012Vydáno v Nonlinear analysis (01.02.2012)“…We present a new approach to the study of a set-valued equilibrium problem (for short, SEP) through the study of a set-valued optimization problem with a…”
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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)“… the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets…”
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