Search Results - limiting Fréchet coderivatives

Calmness of efficient solution maps in parametric vector optimization by Chuong, T. D., Kruger, A. Y., Yao, J.-C.

“… More explicitly, new sufficient conditions in terms of the Fréchet and limiting coderivatives of parametric multifunctions for this efficient solution map to have the…”
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Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications by Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

“…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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Optimality conditions and duality in nonsmooth multiobjective optimization problems by Chuong, Thai Doan, Kim, Do Sang

“… for the Fréchet subdifferential, the sum rule for the limiting subdifferential and the scalarization formulae of the coderivatives, we establish necessary conditions for (weakly…”
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Codifferential Calculus by Li, Shengjie, Penot, Jean-Paul, Xue, Xiaowei

“… We first establish inclusions for contingent, Fréchet and limiting coderivatives. Combining them, we get equality rules…”
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Metric Regularity Relative to a Cone by Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel

“… For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation…”
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Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings by Jourani, A, Thibault, L

“…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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Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities by Qui, Nguyen Thanh

“…This paper establishes an upper estimate for the Fréchet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces…”
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Strong metric subregularity of mappings in variational analysis and optimization by Cibulka, R., Dontchev, A.L., Kruger, A.Y.

“…Although the property of strong metric subregularity of set-valued mappings has been present in the literature under various names and with various…”
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NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES by Nguyễn Thành Quí

“…This paper establishes an upper estimate for the Frechet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces…”
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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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On the theory of subdifferentials by Ioffe Alexander D.

“…: summation and partial minimization. Separate sections are devoted to the Fréchet and limiting…”
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Subgradient of distance functions with applications to Lipschitzian stability by Mordukhovich, Boris S., Nam, Nguyen Mau

“… We derive various relationships between Frechet-type subgradients and limiting (basic and singular) subgradients of this distance function and corresponding generalized normals to sets and coderivatives of set-valued mappings…”
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Metric Inequality, Subdifferential Calculus and Applications by Ngai, Huynh Van, Théra, Michel

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