Search Results - professional coderivative~

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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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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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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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics by Adly, Samir

“… Using Mordukhovich coderivative criterion and a second-order subdifferential analysis, we provide simple and verifiable characterizations of this property in terms of the data involved in the problem…”
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Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization by Mordukhovich, Boris S., Outrata, Jiří V.

“… The main tools of our variational analysis involve coderivatives of solution maps to quasi-variational inequalities, which allow us to obtain efficient conditions for robust Lipschitzian stability…”
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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 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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Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure by Florea, Elena-Andreea

“…In this paper, we define two new concepts of efficiency for vector optimization with variable ordering structure, namely the sharp and robust efficiencies, and…”
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On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality by Zhang, Jie, Li, Yu-xin, Zhang, Li-wei

“…The explicit representation of Mordukhovich coderivative of a solution mapping to a second-order cone constrained parametric variational inequality is established by the reduction approach…”
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Coderivative Analysis of Variational Systems by Mordukhovich, Boris S.

“… The main tools of our analysis involve coderivatives of set-valued mappings that turn out to be proper extensions of the adjoint derivative operator to nonsmooth and set-valued mappings…”
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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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Coderivative calculus and metric regularity for constraint and variational systems by Geremew, W., Mordukhovich, B.S., Nam, N.M.

“… on appropriate coderivative constructions for set-valued mappings and on extended calculus rules supporting their computation and estimation…”
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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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Calculus of directional coderivatives and normal cones in Asplund spaces by Long, Pujun, Wang, Bingwu, Yang, Xinmin

“…We study the directional Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings in Asplund spaces and establish extensive calculus results on these constructions…”
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Generalized Coderivative-Based Newtonian Methods in Nonsmooth Nonconvex Optimization and Applications by Thanh Phat, Vo

“…This dissertation proposes and develops new Newton-type methods to solve nonconvex and nonsmooth optimization problems with justifying their fast local and…”
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Coderivatives of a KarushaKuhnaTucker point set map and applications by Lee, G M, Yen, N D

“…The problem of minimizing a linearaquadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear…”
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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities by Nam, Nguyen Mau

“…In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings…”
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