Search Results - Fréchet coderivatives

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative by 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 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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Fréchet $$\sigma $$-subdifferential calculus rules and applications by 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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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials by Clason, Christian, Valkonen, Tuomo

“… A main ingredient is an explicit pointwise characterization of the regular coderivative of the subdifferential of convex integral functionals…”
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Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization by 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…”
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Sensitivity Analysis in Parametric Convex Vector Optimization by 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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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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Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization by 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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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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On some Fermat rules for set-valued optimization problems by 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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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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Lagrange multipliers for set-valued optimization problems associated with coderivatives by Ha, Truong Xuan Duc

“… ) expressed in terms of Lagrange or sequential Lagrange multipliers associated with various coderivatives of the set-valued data…”
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Openness results for parametric set-valued mappings in Asplund spaces by 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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A note on implicit multifunction theorems by 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 by Nguyễn Quang Huy, Jen Chih Yao

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On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization by 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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Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 1: Lipschitzian Stability by 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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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations by 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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Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 2: Robinson Stability by 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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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, where the multivalued term amounts to the regular normal cone…”
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