Suchergebnisse - frechet subdifferential and coderivative~

On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization von 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 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 problems in terms …”
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On the Dini–Hadamard-like coderivative of the difference of two single-valued mappings von Baias, Alina Ramona, Kerekes, Delia Maria

“… In this paper we obtain a difference rule for the Dini–Hadamard-like coderivative involving spongiously Lipschitz and strongly spongiously continuous mappings …”
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Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials von 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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Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming von Mordukhovich, B. S., Nam, N. M., Yen, N. D.

“… We develop various (exact) calculus rules for Fréchet lower and upper subgradients of extended-real-valued functions in real 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 vector optimization problem …”
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Stability of saddle points via explicit coderivatives of pointwise subdifferentials von Clason, Christian, Valkonen, Tuomo

“… A main ingredient is an explicit pointwise characterization of the Fréchet coderivative of the subdifferential of convex integral functionals …”
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Variational Analysis of Paraconvex Multifunctions von Van Ngai, Huynh, Tron, Nguyen Huu, Van Vu, Nguyen, Théra, Michel

“… by A. Jourani and some others authors. We establish some regular properties of graphical tangent and normal cones to paraconvex multifunctions between Banach spaces as well as a sum rule for coderivatives for such class of multifunctions …”
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Optimality conditions and duality in nonsmooth multiobjective optimization problems von Chuong, Thai Doan, Kim, Do Sang

“… for the Fréchet subdifferential, the sum rule for the limiting subdifferential and the scalarization formulae of the coderivatives, we establish necessary conditions for (weakly …”
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Metric Regularity Relative to a Cone von Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel

“… For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation …”
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Fréchet σ-subdifferential calculus rules and applications: Fréchet σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma $$\end{document}-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 problems in terms …”
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Lagrange multipliers for set-valued optimization problems associated with coderivatives von Ha, Truong Xuan Duc

“… Then applying some classical or recent results in optimization theory to ( SP ) and using estimates of subdifferentials of marginal functions, we obtain optimality conditions for ( P …”
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On metric subregularity for set-valued mappings under additive perturbations von Ouyang, Wei, Zhang, Binbin, Zhu, Jiangxing

“… which is Fréchet differentiable at nonzero points. We show that the stability of metric subregularity property under additive small perturbations by a smooth, or Lipschitz continuous, or specific type of nondifferentiable single-valued mapping …”
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On the theory of subdifferentials von Ioffe Alexander D.

“… Fréchet subdifferentials and to the …”
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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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Subgradients of the Value Function to a Parametric Optimal Control Problem von Toan, N. T., Kien, B. T.

“… By establishing an abstract result on the Fréchet subdifferential of the value functions of a parametric mathematical programming problem, a new formula for computing …”
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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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The fuzzy intersection rule in variational analysis with applications von Wang, Bingwu

“… The fuzzy intersection rule for Fréchet normal cones in Asplund spaces was established by Mordukhovich and the author using the extremal principle, which appears more convenient to apply in some applications …”
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Directional Hölder Metric Regularity von Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel

“… Hölder/Lipschitz metric regularity, which are based on the concepts of slope and coderivative …”
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