Search Results - (( limiting coderivatives ) OR ( lighting coderivatives ))~

On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications by Gfrerer, Helmut, Outrata, Jiří V.

“…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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On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings by Nghia, T. T. A., Pham, D. T., Tran, T. T. T.

“…This paper concerns the interconnection between the positive definiteness of limiting coderivative and the local strong maximal monotonicity of set-valued mappings suspected in Mordukhovich and Nghia (SIAM J. Optim. 26 , 1032…”
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Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets by Huong, Vu Thi, Xu, Hong-Kun, Yen, Nguyen Dong

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On regular coderivatives in parametric equilibria with non-unique multipliers by Henrion, R., Outrata, J. V., Surowiec, T.

“…This paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations (GEs…”
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On the Coderivative of the Projection Operator onto the Second-order Cone by Outrata, Jiří V., Sun, Defeng

“…The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone is computed…”
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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics by Adly, Samir

“… Using Mordukhovich coderivative criterion and a second-order subdifferential analysis, we provide simple and verifiable characterizations of this property in terms of the data involved in the problem…”
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On the Aubin property of solution maps to parameterized variational systems with implicit constraints by Gfrerer, Helmut, Outrata, Jiří V.

“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
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On the Aubin property of a class of parameterized variational systems by Gfrerer, H., Outrata, J. V.

“… The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions…”
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications by Gfrerer, Helmut, Outrata, Jiří V

“…The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to \(C^{2…”
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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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A survey of subdifferential calculus with applications by Borwein, Jonathan M., Zhu, Qiji J.

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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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Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces by Mordukhovich, Boris S., Shao, Yongheng, Zhu, Qiji

“… We study the so-called viscosity coderivatives of multifunctions and their limiting behavior under certain geometric assumptions on spaces in question related to the existence of smooth bump functions of any kind…”
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On New Generalized Differentials with Respect to a Set and Their Applications by Qin, Xiaolong, Duc Thinh, Vo, Yao, Jen-Chih

“… We present the ideas of the limiting coderivative and subdifferential with respect to a set of multifunctions and singleton mappings, respectively, based on these normal cones…”
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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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Point-based characterization of generalized metric subregularity in Asplund spaces by Huang, Hui, Liu, Xiaolong, Zhou, Jiangqijun, Zhu, Jiangxing

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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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Characterizing Generalized Derivatives of Set-Valued Maps: Extending the Tangential and Normal Approaches by Jeffrey Pang, C. H.

“… Finally, the third characterization in terms of limiting normal cones and coderivatives generalizes the Mordukhovich criterion in the finite dimensional case…”
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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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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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