Výsledky vyhľadávania - Normal coderivative~
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Fréchet and normal coderivatives of implicit multifunctions
ISSN: 0003-6811, 1563-504XVydavateľské údaje: Abingdon Taylor & Francis Group 01.06.2011Vydané 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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Normal coderivative for multifunctions and implicit function theorems
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: San Diego, CA Elsevier Inc 01.02.2008Vydané v Journal of mathematical analysis and applications (01.02.2008)“…In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained…”
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Calculus of directional coderivatives and normal cones in Asplund spaces
ISSN: 1385-1292, 1572-9281Vydavateľské údaje: Cham Springer International Publishing 01.09.2017Vydané 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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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
ISSN: 0362-546X, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 01.10.2010Vydané 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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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
ISSN: 0233-1934, 1029-4945Vydavateľské údaje: Philadelphia Taylor & Francis 02.04.2016Vydané 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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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets
ISSN: 0022-3239, 1573-2878Vydavateľské údaje: Boston Springer US 01.04.2013Vydané 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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Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces
ISSN: 0233-1934, 1029-4945Vydavateľské údaje: Philadelphia Taylor & Francis 18.08.2025Vydané v Optimization (18.08.2025)“…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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Point-based sufficient conditions for metric regularity of implicit multifunctions
ISSN: 0362-546X, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 01.04.2009Vydané v Nonlinear analysis (01.04.2009)“… 12 (2004) 195–223], Lee, Tam and Yen [G.M. Lee, N.N. Tam, N.D. Yen, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl. 338 (2008) 11–22…”
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Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions
ISSN: 0362-546X, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 01.05.2010Vydané v Nonlinear analysis (01.05.2010)“…By constructing some suitable examples, Jeyakumar and Yen (2004) [1] have shown that the Robinson metric regularity (Rmr) and the Lipschitz-like property…”
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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS
ISSN: 0866-787XVydavateľské údaje: Dalat University 01.06.2012Vydané v Tạp chí Khoa học Đại học Đà Lạt (01.06.2012)Získať plný text
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Openness properties for parametric set-valued mappings and implicit multifunctions
ISSN: 0362-546X, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 15.01.2010Vydané v Nonlinear analysis (15.01.2010)“…The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces…”
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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, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 01.02.2012Vydané 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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Coderivatives of gap function for Minty vector variational inequality
ISSN: 1029-242X, 1025-5834, 1029-242XVydavateľské údaje: Cham Springer International Publishing 17.09.2015Vydané v Journal of inequalities and applications (17.09.2015)“… First, we discuss the regular coderivative, the normal coderivative, and the mixed coderivative of a class of set-valued maps…”
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Linearly perturbed polyhedral normal cone mappings and applications
ISSN: 0362-546X, 1873-5215Vydavateľské údaje: Amsterdam Elsevier Ltd 01.03.2011Vydané 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 cone mappings of perturbed polyhedra in reflexive Banach spaces…”
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
ISSN: 2331-8422Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 24.11.2016Vydané v arXiv.org (24.11.2016)“…The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to \(C^{2…”
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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool
ISSN: 2405-8440, 2405-8440Vydavateľské údaje: Elsevier Ltd 01.10.2023Vydané v Heliyon (01.10.2023)“… coderivative concept and of the partial sequential normal compactness…”
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Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications
ISSN: 0022-3239, 1573-2878Vydavateľské údaje: New York Springer US 01.12.2024Vydané v Journal of optimization theory and applications (01.12.2024)“…This paper provides formulas for calculating Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings…”
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Generalized Differentiation of a Class of Normal Cone Operators
ISSN: 0022-3239, 1573-2878Vydavateľské údaje: Boston Springer US 01.05.2014Vydané v Journal of optimization theory and applications (01.05.2014)“… We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators…”
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Coderivative Conditions for Error Bounds of γ-paraconvex Multifunctions
ISSN: 1877-0533, 1877-0541Vydavateľské údaje: Dordrecht Springer Netherlands 01.12.2012Vydané v Set-valued and variational analysis (01.12.2012)“… -paraconvex multifunction are given. In terms of normal cone and coderivative, some results on the existence of error bounds are presented…”
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New results on linearly perturbed polyhedral normal cone mappings
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: Amsterdam Elsevier Inc 01.09.2011Vydané 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 mappings in reflexive Banach spaces…”
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