Search Results - Fréchet subdifferential and coderivative~

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 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 $$\sigma $$-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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On the Dini–Hadamard-like coderivative of the difference of two single-valued mappings by 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 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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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 Fréchet coderivative of the subdifferential of convex integral functionals…”
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Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming by 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 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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Optimality conditions and duality in nonsmooth multiobjective optimization problems by 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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Variational Analysis of Paraconvex Multifunctions by 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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Metric Regularity Relative to a Cone by 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 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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Lagrange multipliers for set-valued optimization problems associated with coderivatives by 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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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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On metric subregularity for set-valued mappings under additive perturbations by 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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Subgradients of the Value Function to a Parametric Optimal Control Problem by 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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On the theory of subdifferentials by Ioffe Alexander D.

“… Fréchet subdifferentials and to the…”
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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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Directional Hölder Metric Regularity by 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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The fuzzy intersection rule in variational analysis with applications by 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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