Search Results - derivatives and coderivatives*

Optimality Conditions for Approximate Pareto Minimality by Durea, Marius

“…In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in…”
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Generalized Newton’s method based on graphical derivatives by Hoheisel, T., Kanzow, C., Mordukhovich, B.S., Phan, H.

“… We propose and justify a new generalized Newton algorithm based on graphical derivatives, which have never been used to derive a Newton-type method for solving nonsmooth equations…”
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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces by Hien, Le Van

“… > 0 is the radius. We also establish a formula for computing the Mordukhovich coderivative of P B ( c , r…”
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A Derivative-Coderivative Inclusion in Second-Order Nonsmooth Analysis by Rockafellar, R. T., Zagrodny, D.

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Regular Coderivative and Graphical Derivative of the Metric Projection onto closed Balls in Hilbert spaces by Le Van Hien

“…\). Finally, we give the formula for calculating the graphical derivative of the metric projection operator onto closed balls with center at arbitrarily given point…”
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Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold by Khan, Mohammad Nazrul Islam

“…•The results of the derivative and coderivative of 2-form F are obtained successfully.•A theorem on Nijenhuis tensor of tensor field J˜ is proved…”
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Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions by Isac, G., Li, J. L.

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ZETA INVARIANTS OF MORSE FORMS by Álvarez López, Jesús A., Kordyukov, Yuri A., Leichtnam, Eric

“…$ be the induced Witten’s type perturbations of the de Rham derivative and coderivative and the Laplacian, parametrized by $z=\mu +i\nu \in \mathbb C$ ( $\mu ,\nu \in \mathbb {R}$ , $i=\sqrt {-1}$ ). Let $\zeta (s,z…”
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Covering constants for metric projection operator with applications to stochastic fixed-point problems by Li, Jinlu

“…The theory of generalized differentiation in set-valued analysis is based on Mordukhovich derivative…”
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Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC) by Guigue, A.

“…$ and provide a unique characterization for $V$ in terms of contingent derivative and coderivative for set-valued maps, which extends two previously introduced notions of generalized solution to the Hamilton--Jacobi equation for single objective…”
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On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions by Gfrerer, Helmut

“… In this paper we present second-order characterizations of these properties, i.e., conditions using first-order generalized derivatives of the subgradient mapping…”
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Dirac cohomology on manifolds with boundary and spectral lower bounds by Farinelli, Simone

“…Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold is proved by extending concepts as exterior derivative and coderivative as well…”
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Heat kernel for open manifolds by Jones, Trevor H.

“… Furthermore, it has been shown that the components of the differential form heat kernel are related via the exterior derivative and the coderivative…”
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First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings by Gfrerer, Helmut

“… In finite dimensions this condition can be expressed in terms of a derivative which appears to be a combination of the coderivative and the contingent derivative…”
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Global inversion for metrically regular mappings between Banach spaces by Gutú, Olivia

“… Gâteaux derivatives, generalized Jacobians, coderivatives, strict prederivatives, pseudo-Jacobians…”
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Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces by Li, Jinlu

“… We find exact expressions for Mordukhovich derivatives (which are also called Mordukhovich coderivatives…”
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Primal–Dual Stability in Local Optimality by Benko, Matúš, Rockafellar, R. Tyrrell

“…Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem’s parameters, including tilt…”
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On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization by Uderzo, A.

“… the Fréchet coderivative of the field and the derivative of the base. Applications to the stability analysis of parametric constrained optimization problems are proposed…”
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Implicit multifunction theorems in complete metric spaces by Huynh, van Ngai, Nguyen, Huu Tron, Théra, Michel

“… Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well…”
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Some Remarks on Stability of Generalized Equations by Henrion, René, Kruger, Alexander Y., Outrata, Jiří V.

“…The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone…”
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