Výsledky vyhľadávania - "Fréchet coderivative"
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Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative
ISSN: 1029-242X, 1025-5834, 1029-242XVydavateľské údaje: Cham Springer International Publishing 01.12.2025Vydané v Journal of inequalities and applications (01.12.2025)“…In this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a…”
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Fréchet $$\sigma $$-subdifferential calculus rules and applications
ISSN: 1385-1292, 1572-9281Vydavateľské údaje: Dordrecht Springer Nature B.V 01.11.2025Vydané v Positivity : an international journal devoted to the theory and applications of positivity in analysis (01.11.2025)“…We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference…”
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Sensitivity Analysis in Parametric Convex Vector Optimization
ISSN: 1877-0533, 1877-0541Vydavateľské údaje: Dordrecht Springer Netherlands 01.12.2024Vydané v Set-valued and variational analysis (01.12.2024)“…In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation,…”
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Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization
ISSN: 1029-242X, 1029-242XVydavateľské údaje: Cham Springer International Publishing 14.10.2020Vydané 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. By…”
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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…”
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Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization
ISSN: 0925-5001, 1573-2916Vydavateľské údaje: Boston Springer US 01.12.2013Vydané v Journal of global optimization (01.12.2013)“…In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric…”
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On some Fermat rules for set-valued optimization problems
ISSN: 0233-1934, 1029-4945Vydavateľské údaje: Philadelphia Taylor & Francis Group 01.05.2011Vydané 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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A note on implicit multifunction theorems
ISSN: 1862-4472, 1862-4480Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2014Vydané v Optimization letters (01.01.2014)“…The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known…”
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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)“…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, 1873-5215Vydavateľské 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…”
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Openness results for parametric set-valued mappings in Asplund spaces
ISSN: 1862-4472, 1862-4480Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014Vydané v Optimization letters (01.12.2014)“…In this paper, we first prove a lemma about the lower semicontinuity of the distance function in infinite dimensional spaces, which is crucial to openness…”
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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)“…This article analyses and develops furthermore the existing upper and lower estimates for the Fréchet and normal coderivatives of implicit multifunctions…”
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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials
ISSN: 1877-0533, 1877-0541Vydavateľské údaje: Dordrecht Springer Netherlands 01.03.2017Vydané v Set-valued and variational analysis (01.03.2017)“…We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using…”
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Lagrange multipliers for set-valued optimization problems associated with coderivatives
ISSN: 0022-247X, 1096-0813Vydavateľské údaje: San Diego, CA Elsevier Inc 15.11.2005Vydané 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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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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