Search Results - "Fréchet's coderivative"

Lagrange multipliers for set-valued optimization problems associated with coderivatives by 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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Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative by Deng, Xicai, Liu, Yibo, Zhong, Chongyi

“…In this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a…”
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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…”
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Sensitivity Analysis in Parametric Convex Vector Optimization by An, Duong Thi Viet, Tung, Le Thanh

“…In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation,…”
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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. By…”
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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…”
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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…”
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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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A note on implicit multifunction theorems by Nghia, T. T. A.

“…The paper is mainly devoted to the study of implicit multifunction theorems in terms of Fréchet coderivative in Asplund spaces. It sharpens the well-known…”
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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets by Huy, N. Q., Yao, J.-C.

“…In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the…”
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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…”
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Openness results for parametric set-valued mappings in Asplund spaces by Yang, Ming-ge, Xu, Yi-fan

“…In this paper, we first prove a lemma about the lower semicontinuity of the distance function in infinite dimensional spaces, which is crucial to openness…”
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Fréchet and normal coderivatives of implicit multifunctions by 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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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials by 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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EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS by Nguyễn Quang Huy, Jen Chih Yao

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