Search Results - coderivatives

Projectional Coderivatives and Calculus Rules by Yao, Wenfang, Meng, Kaiwen, Li, Minghua, Yang, Xiaoqi

“…This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and the corresponding calculus rules in finite dimensional spaces…”
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Coderivative-based semi-Newton method in nonsmooth difference programming: Coderivative-based semi-Newton method in nonsmooth by Aragón-Artacho, Francisco J., Mordukhovich, Boris S., Pérez-Aros, Pedro

“… We propose and develop a novel Newton-type algorithm to solving such problems, which is based on the coderivative generated second-order subdifferential (generalized Hessian…”
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Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization by Khanh, Pham Duy, Mordukhovich, Boris S., Phat, Vo Thanh, Tran, Dat Ba

“… and generalized differentiation. Both methods are coderivative-based and employ generalized Hessians…”
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Coderivative-based semi-Newton method in nonsmooth difference programming by Aragón-Artacho, Francisco J., Mordukhovich, Boris S., Pérez-Aros, Pedro

“… We propose and develop a novel Newton-type algorithm to solving such problems, which is based on the coderivative generated second-order subdifferential (generalized Hessian…”
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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization by An, Duong Thi Viet, Hung, Nguyen Huy, Van Tuyen, Nguyen

“…In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing the basic subdifferential…”
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Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces by Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

“…-regular normal cone to sets and associated coderivative notions for set-valued mappings…”
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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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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces by Hien, Le Van

“…In this paper, we first derive an exact formula for computing the regular coderivative of the metric projection operator onto closed balls r B centered at the origin in Hilbert spaces…”
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Coderivatives in parametric optimization by Levy, Adam B., Mordukhovich, Boris S.

“… Coderivatives of set-valued mappings are our basic tool to analyze the parametric sensitivity of either stationary points or stationary point-multiplier pairs associated with parameterized optimization problems…”
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Coderivatives of a Karush–Kuhn–Tucker point set map and applications by Lee, G.M., Yen, N.D.

“…The problem of minimizing a linear–quadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear…”
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On the coderivative of the projection operator onto the positive cone in Hilbert spaces by Van Hien, Le, Viet Quan, Nguyen

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Estimates for coderivative of solution map in bilevel program by Mao, Weihao

“… In some process of dealing this kind of bilevel programs, difficulties are essentially moved to estimating for coderivative of the solution map…”
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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 of implicit multifunctions and stability of variational systems by Qui, Nguyen Thanh

“…We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces…”
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The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem by Toan, N. T., Thuy, L. Q.

“… By establishing an abstract result on the Clarke coderivative of the frontier map of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Clarke…”
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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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On regular coderivatives in parametric equilibria with non-unique multipliers by Henrion, R., Outrata, J. V., Surowiec, T.

“…This paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations (GEs…”
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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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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications by Gfrerer, Helmut, Outrata, Jiří V.

“…The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions…”
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Calculus of directional subdifferentials and coderivatives in Banach spaces by Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…In this work we study the directional versions of Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings, and subdifferentials of extended-real-valued functions…”
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