Suchergebnisse - "Fréchet coderivatives"

Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials von 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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Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative von 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 $$\sigma $$-subdifferential calculus rules and applications von 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 …”
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Sensitivity Analysis in Parametric Convex Vector Optimization von 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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Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization von 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 von 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 von 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 …”
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On some Fermat rules for set-valued optimization problems von 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 von 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 von 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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Openness results for parametric set-valued mappings in Asplund spaces von 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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Linearly perturbed polyhedral normal cone mappings and applications von 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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Fréchet and normal coderivatives of implicit multifunctions von Lee, G.M., Yen, N.D.

“… This article analyses and develops furthermore the existing upper and lower estimates for the Fréchet and normal coderivatives of implicit multifunctions …”
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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations von Wei, Zhou, Yao, Jen-Chih

“… /Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications …”
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Strong metric subregularity of mappings in variational analysis and optimization von 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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Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 1: Lipschitzian Stability von Huyen, Duong Thi Kim, Yao, Jen-Chih, Yen, Nguyen Dong

“… the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric optimization problem with one smooth functional constraint under total perturbations …”
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Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 2: Robinson Stability von Huyen, Duong Thi Kim, Yao, Jen-Chih, Yen, Nguyen Dong

“… In Part 1 of this paper, we have estimated the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric …”
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Lagrange multipliers for set-valued optimization problems associated with coderivatives von 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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Some Remarks on Stability of Generalized Equations von 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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Generalized Differentiation of a Class of Normal Cone Operators and Sensitivity of Optimal Control Problems von Toan, N. T., Thuy, L. Q.

“… We then use the obtained results to compute and estimate the Fréchet coderivative of the solution map to parametric discrete optimal control problems with nonlinear state …”
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