Výsledky vyhľadávania - frechet coderivatives*

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative Autor Deng, Xicai, Liu, Yibo, Zhong, Chongyi

“…) is conducted based on the Fréchet coderivative of a multifunction. Firstly, we formulate the formulas for calculating…”
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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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Fréchet $$\sigma $$-subdifferential calculus rules and applications Autor Alizadeh, Mohammad Hossein, Zanjani, Alireza Youhannaee

“…We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference problems in terms…”
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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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Sensitivity Analysis in Parametric Convex Vector Optimization Autor An, Duong Thi Viet, Tung, Le Thanh

“… We establish the formulas for computing the Fréchet coderivative of the profile of the above three kinds of perturbation maps…”
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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials Autor Clason, Christian, Valkonen, Tuomo

“…We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using…”
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Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization Autor Xue, Xiaowei

“…The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem. By…”
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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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Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization Autor Chuong, Thai Doan, Yao, Jen-Chih

“…In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem…”
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On some Fermat rules for set-valued optimization problems Autor Durea, M., Strugariu, R.

“…The aim of this article is to obtain necessary optimality conditions for Pareto minima in set-valued optimization problems. We employ a new method to derive…”
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A note on implicit multifunction theorems Autor Nghia, T. T. A.

“… of Fréchet coderivative in Asplund spaces. It sharpens the well-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999…”
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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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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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Openness results for parametric set-valued mappings in Asplund spaces Autor Yang, Ming-ge, Xu, Yi-fan

“… Then we obtain some openness results in terms of Fréchet coderivatives for parametric set-valued mappings in Asplund spaces under mild conditions…”
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Lagrange multipliers for set-valued optimization problems associated with coderivatives Autor Ha, Truong Xuan Duc

“…In this paper we investigate a vector optimization problem ( P ) where objective and constraints are given by set-valued maps. We show that by mean of marginal…”
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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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On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization Autor Uderzo, A.

“… the Fréchet coderivative of the field and the derivative of the base. Applications to the stability analysis of parametric constrained optimization problems are proposed…”
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Necessary optimality conditions for weak sharp minima in set-valued optimization Autor Durea, M., Strugariu, R.

“…The aim of the present paper is to get necessary optimality conditions for a general kind of sharp efficiency for set-valued mappings in infinite dimensional…”
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Strong metric subregularity of mappings in variational analysis and optimization Autor 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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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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