Search Results - normal coderivative

Fréchet and normal coderivatives of implicit multifunctions by 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 by 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 by 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 by Nam, Nguyen Mau

“…In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings…”
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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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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets by 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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Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces by Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

“…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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Point-based sufficient conditions for metric regularity of implicit multifunctions by 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 by 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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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS by Nguyễn Quang Huy, Jen Chih Yao

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Openness properties for parametric set-valued mappings and implicit multifunctions by 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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Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems by 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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Coderivatives of gap function for Minty vector variational inequality by 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 by 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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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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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool by Maréchal, Matthieu

“… coderivative concept and of the partial sequential normal compactness…”
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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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Generalized Differentiation of a Class of Normal Cone Operators by Qui, Nguyen Thanh

“… We obtain formulas for computing the Fréchet and Mordukhovich coderivatives of such normal cone operators…”
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Coderivative Conditions for Error Bounds of γ-paraconvex Multifunctions by Huang, Hui

“… -paraconvex multifunction are given. In terms of normal cone and coderivative, some results on the existence of error bounds are presented…”
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New results on linearly perturbed polyhedral normal cone mappings by 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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