Výsledky vyhledávání - normal coderivative*

Fréchet and normal coderivatives of implicit multifunctions Autor Lee, G.M., Yen, N.D.

“… for the Fréchet and normal coderivatives of implicit multifunctions. Various counterexamples and examples are given…”
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Normal coderivative for multifunctions and implicit function theorems Autor Lee, G.M., Tam, N.N., Yen, N.D.

“…In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained…”
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Calculus of directional coderivatives and normal cones in Asplund spaces Autor Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…We study the directional Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings in Asplund spaces and establish extensive calculus results on these constructions…”
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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities Autor Nam, Nguyen Mau

“…In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings…”
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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets Autor Huy, N. Q., Yao, J.-C.

“… the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets…”
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications Autor 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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Point-based sufficient conditions for metric regularity of implicit multifunctions Autor Yen, N.D., Yao, J.-C.

“… 12 (2004) 195–223], Lee, Tam and Yen [G.M. Lee, N.N. Tam, N.D. Yen, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl. 338 (2008) 11–22…”
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Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions Autor Chieu, N.H., Yao, J.-C., Yen, N.D.

“…By constructing some suitable examples, Jeyakumar and Yen (2004)  [1] have shown that the Robinson metric regularity (Rmr) and the Lipschitz-like property…”
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Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces Autor Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

“…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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Openness properties for parametric set-valued mappings and implicit multifunctions Autor Durea, M.

“…The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces…”
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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS Autor Nguyễn Quang Huy, Jen Chih Yao

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Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems Autor Ha, Truong Xuan Duc

“…We present a new approach to the study of a set-valued equilibrium problem (for short, SEP) through the study of a set-valued optimization problem with a…”
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications Autor 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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Generalized Differentiation of a Class of Normal Cone Operators Autor Qui, Nguyen Thanh

“… We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators…”
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Coderivatives of gap function for Minty vector variational inequality Autor Xue, Xiaowei, Zhang, Yu

“… First, we discuss the regular coderivative, the normal coderivative, and the mixed coderivative of a class of set-valued maps…”
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Linearly perturbed polyhedral normal cone mappings and applications Autor Qui, Nguyen Thanh

“…Under a mild regularity assumption, we derive an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the normal cone mappings of perturbed polyhedra in reflexive Banach spaces…”
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Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities Autor Henrion, René, Mordukhovich, Boris S., Nam, Nguyen Mau

“… of the normal cone mappings for such sets. In this paper we efficiently compute the required coderivatives of the normal cone mappings exclusively via the initial data of polyhedral sets in reflexive Banach spaces…”
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Lipschitz-like property of an implicit multifunction and its applications Autor Chuong, Thai Doan

“… More explicitly, new sufficient conditions in terms of the Fréchet coderivative and the normal/Mordukhovich coderivative of parametric multifunctions for this implicit multifunction to have the Lipschitz-like property at a given point are established…”
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Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications Autor 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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New results on linearly perturbed polyhedral normal cone mappings Autor Qui, Nguyen Thanh

“…This paper establishes an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the linearly perturbed normal cone mappings in reflexive Banach spaces…”
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