Suchergebnisse - professional coderivative
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1
Coderivative-based semi-Newton method in nonsmooth difference programming
ISSN: 0025-5610, 1436-4646Veröffentlicht: Heidelberg Springer Nature B.V 01.09.2025Veröffentlicht in Mathematical programming (01.09.2025)“… We propose and develop a novel Newton-type algorithm to solving such problems, which is based on the coderivative generated second-order subdifferential (generalized Hessian …”
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The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem
ISSN: 0095-4616, 1432-0606Veröffentlicht: New York Springer US 01.10.2023Veröffentlicht in Applied mathematics & optimization (01.10.2023)“… By establishing an abstract result on the Clarke coderivative of the frontier map of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Clarke …”
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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.08.2024Veröffentlicht in 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, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis 18.08.2025Veröffentlicht in Optimization (18.08.2025)“… -regular normal cone to sets and associated coderivative notions for set-valued mappings …”
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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.01.2019Veröffentlicht 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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Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
ISSN: 1052-6234, 1095-7189Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007Veröffentlicht in SIAM journal on optimization (01.01.2007)“… The main tools of our variational analysis involve coderivatives of solution maps to quasi-variational inequalities, which allow us to obtain efficient conditions for robust Lipschitzian stability …”
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Coderivatives in parametric optimization
ISSN: 0025-5610, 1436-4646Veröffentlicht: Heidelberg Springer 01.03.2004Veröffentlicht 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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Coderivatives of implicit multifunctions and stability of variational systems
ISSN: 0925-5001, 1573-2916Veröffentlicht: New York Springer US 01.07.2016Veröffentlicht in 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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Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure
ISSN: 0233-1934, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis 02.07.2016Veröffentlicht in Optimization (02.07.2016)“… In this paper, we define two new concepts of efficiency for vector optimization with variable ordering structure, namely the sharp and robust efficiencies, and …”
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On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality
ISSN: 0925-5001, 1573-2916Veröffentlicht: Boston Springer US 01.02.2015Veröffentlicht in Journal of global optimization (01.02.2015)“… The explicit representation of Mordukhovich coderivative of a solution mapping to a second-order cone constrained parametric variational inequality is established by the reduction approach …”
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Coderivative Analysis of Variational Systems
ISSN: 0925-5001, 1573-2916Veröffentlicht: Dordrecht Springer Nature B.V 01.04.2004Veröffentlicht in Journal of global optimization (01.04.2004)“… The main tools of our analysis involve coderivatives of set-valued mappings that turn out to be proper extensions of the adjoint derivative operator to nonsmooth and set-valued mappings …”
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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.04.2018Veröffentlicht in 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, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.12.2012Veröffentlicht in 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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Coderivative calculus and metric regularity for constraint and variational systems
ISSN: 0362-546X, 1873-5215Veröffentlicht: Amsterdam Elsevier Ltd 2009Veröffentlicht in Nonlinear analysis (2009)“… on appropriate coderivative constructions for set-valued mappings and on extended calculus rules supporting their computation and estimation …”
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
ISSN: 0233-1934, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis 02.04.2016Veröffentlicht in 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, 1572-9281Veröffentlicht: Cham Springer International Publishing 01.03.2017Veröffentlicht 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 extended-real-valued functions …”
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Calculus of directional coderivatives and normal cones in Asplund spaces
ISSN: 1385-1292, 1572-9281Veröffentlicht: Cham Springer International Publishing 01.09.2017Veröffentlicht 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 results on these constructions …”
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Generalized Coderivative-Based Newtonian Methods in Nonsmooth Nonconvex Optimization and Applications
ISBN: 9798384453833Veröffentlicht: ProQuest Dissertations & Theses 01.01.2024“… This dissertation proposes and develops new Newton-type methods to solve nonconvex and nonsmooth optimization problems with justifying their fast local and …”
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Coderivatives of a KarushaKuhnaTucker point set map and applications
ISSN: 0362-546XVeröffentlicht: 01.01.2014Veröffentlicht in 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 normal cone mappings and Lipschitzian stability of parametric variational inequalities
ISSN: 0362-546X, 1873-5215Veröffentlicht: Amsterdam Elsevier Ltd 01.10.2010Veröffentlicht in Nonlinear analysis (01.10.2010)“… In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings …”
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