Search Results - "limiting coderivative"

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 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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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,…”
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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. This result is used to obtain a sufficient condition…”
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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). The…”
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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 inequality constraints under weak qualification conditions…”
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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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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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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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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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On Stability of M-stationary Points in MPCCs by Červinka, Michal, Outrata, Jiří V., Pištěk, Miroslav

“… To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting…”
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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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A survey of subdifferential calculus with applications by Borwein, Jonathan M., Zhu, Qiji J.

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On Lipschitzian properties of implicit multifunctions by Gfrerer, Helmut, Outrata, Jiří V

“… As the basic tool one employs the directional limiting coderivative which, together with the graphical derivative, enable us a fine analysis of the local behavior of the investigated multifunction…”
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Formulas for calculating of generalized differentials with respect to a set and their applications by Vo, Duc Thinh, Qin, Xiaolong, Yao, Jen-Chih

“…This paper provides formulas for calculating of Fr\'{e}chet 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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On new generalized differentials with respect to a set and their applications by Qin, Xiaolong, Vo, Duc Thinh, 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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On the Aubin property of solution maps to parameterized variational systems with implicit constraints by Gfrerer, Helmut, Outrata, Jiri V

“… of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative…”
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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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