Výsledky vyhledávání - coderivatives of multivalued mappings
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Coderivatives of multivalued mappings, locally compact cones and metric regularity
ISSN: 0362-546X, 1873-5215Vydáno: Elsevier Ltd 01.03.1999Vydáno v Nonlinear analysis (01.03.1999)Získat plný text
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Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings
ISSN: 0022-247X, 1096-0813Vydáno: San Diego, CA Elsevier Inc 01.02.1998Vydáno v Journal of mathematical analysis and applications (01.02.1998)“…This paper establishes by a general approach a full calculus for the limiting Fréchet and the approximate coderivatives of multivalued mappings…”
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3
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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Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions
ISSN: 0022-247X, 1096-0813Vydáno: Elsevier Inc 01.04.2014Vydáno v Journal of mathematical analysis and applications (01.04.2014)“…) and allow us to obtain two new proofs of a recent result having deep roots in the topic of regularity of mappings…”
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5
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)“… In the nonregular, nonpolyhedral case a generalized transformation formula by Mordukhovich and Outrata applies, however, a major difficulty consists in checking a calmness condition of a certain multivalued mapping…”
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Nonlinear metric regularity on fixed sets
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 03.06.2023Vydáno v Optimization (03.06.2023)“… Slope and coderivative characterizations of these models are given. The stability of the Milyutin regularity is investigated when the initial set-valued mapping…”
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Metric Regularity of the Sum of Multifunctions and Applications
ISSN: 0022-3239, 1573-2878Vydáno: Boston Springer US 01.02.2014Vydáno v Journal of optimization theory and applications (01.02.2014)“…The metric regularity of multifunctions plays a crucial role in modern variational analysis and optimization. This property is a key to study the stability of…”
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Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces
ISSN: 1385-1292, 1572-9281Vydáno: Heidelberg Springer 01.03.2000Vydáno v Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.03.2000)“…This paper concerns with generalized differentiation of set-valued and nonsmooth mappings between Banach spaces…”
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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)“…In this paper, some exact calculus rules are obtained for calculating the coderivatives of the composition of two multivalued maps…”
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A general metric regularity in asplund banach spaces
ISSN: 0163-0563, 1532-2467Vydáno: Philadelphia, PA Marcel Dekker, Inc 01.01.1998Vydáno v Numerical functional analysis and optimization (01.01.1998)“…This paper establishes a simple and easily-applied criterion for determining whether a multivalued mapping is metrically regular relatively to a subset…”
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Desingularization of the Sweeping Process Mapping
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 17.10.2021Vydáno v arXiv.org (17.10.2021)“…In [9], the celebrated KŁ-inequality has been extended from definable functions \(f:\mathbb{R}^{n}\rightarrow\mathbb{R} \) to definable multivalued maps…”
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Extensions of generalized differential calculus in Asplund spaces
ISSN: 0022-247X, 1096-0813Vydáno: San Diego, CA Elsevier Inc 01.08.2002Vydáno v Journal of mathematical analysis and applications (01.08.2002)“…We develop an extended generalized differential calculus for normal cones to nonconvex sets, coderivatives of set-valued mappings, and subdifferential of extended-real-valued functions in infinite dimensions…”
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Calculus of sequential normal compactness in variational analysis
ISSN: 0022-247X, 1096-0813Vydáno: San Diego, CA Elsevier Inc 01.06.2003Vydáno v Journal of mathematical analysis and applications (01.06.2003)“…In this paper we study some properties of sets, set-valued mappings, and extended-real-valued functions unified under the name…”
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Metric Inequality, Subdifferential Calculus and Applications
ISSN: 0927-6947, 1572-932XVydáno: 01.03.2001Vydáno v Set-valued analysis (01.03.2001)Získat plný text
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