Výsledky vyhledávání - derivatives and coderivatives

Optimality Conditions for Approximate Pareto Minimality Autor 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 Autor 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 Autor Hien, Le Van

“…In this paper, we first derive an exact formula for computing the regular coderivative of the metric projection operator onto closed balls r B centered at the origin in Hilbert spaces…”
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A Derivative-Coderivative Inclusion in Second-Order Nonsmooth Analysis Autor Rockafellar, R. T., Zagrodny, D.

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

“…In this paper, we first establish a formula for exactly computing the regular coderivative of the metric projection operator onto closed balls \(r\mathbb{B…”
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On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions Autor 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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Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions Autor Isac, G., Li, J. L.

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Primal–Dual Stability in Local Optimality Autor 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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Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC) Autor 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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Coderivative Analysis of Variational Systems Autor Mordukhovich, Boris S.

“… 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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Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold Autor 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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On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization Autor 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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Some Remarks on Stability of Generalized Equations Autor 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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Characterizing Generalized Derivatives of Set-Valued Maps: Extending the Tangential and Normal Approaches Autor Jeffrey Pang, C. H.

“… The convexified coderivative has a bijective relationship with the set of possible generalized derivatives. We conclude by illustrating a few applications of our result. [PUBLICATION ABSTRACT]…”
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Covering constants for metric projection operator with applications to stochastic fixed-point problems Autor Li, Jinlu

“…The theory of generalized differentiation in set-valued analysis is based on Mordukhovich derivative…”
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ZETA INVARIANTS OF MORSE FORMS Autor 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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Optimality conditions for weak and firm efficiency in set-valued optimization Autor Durea, M.

“… We derive optimality conditions by means of the Bouligand derivative and by means of the Mordukhovich coderivative as well…”
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Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces Autor Li, Jinlu

“… We find exact expressions for Mordukhovich derivatives (which are also called Mordukhovich coderivatives…”
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Second-Order Studniarski Derivatives: Computation and Application Autor Jelitte, Mario

“…It is known that second-order Studniarski derivatives can be used to compute tangents to the solution set of a generalized equation when standard (first-order…”
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Calculus of directional subdifferentials and coderivatives in Banach spaces Autor Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…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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