Suchergebnisse - professional coderivative*

Coderivative-based semi-Newton method in nonsmooth difference programming von 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 von 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 von Mordukhovich, Boris S., Wu, Pengcheng, Yang, Xiaoqi

“… -regular normal cone to sets and associated coderivative notions for set-valued mappings …”
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The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem von 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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A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics von 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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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations von 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 computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications von 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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Coderivatives of implicit multifunctions and stability of variational systems von 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 Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization von 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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On regular coderivatives in parametric equilibria with non-unique multipliers von 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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On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality von 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 necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure von 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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Calculus of directional subdifferentials and coderivatives in Banach spaces von 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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Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems von Ha, Truong Xuan Duc

“… We present a new approach to the study of a set-valued equilibrium problem (for short, SEP) through the study of a set-valued optimization problem with a …”
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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities von Nam, Nguyen Mau

“… In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings …”
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Calculus of directional coderivatives and normal cones in Asplund spaces von 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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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets von Huy, N. Q., Yao, J.-C.

“… the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets …”
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Coderivatives of a KarushaKuhnaTucker point set map and applications von 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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POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION von DUREA, Marius, FLOREA, Elena-Andreea, STRUGARIU, Radu

“… We present some sufficient optimality conditions for sharp and for isolated solutions of constrained scalar and set-valued nonsmooth optimization problems in terms of several types of subgradients and coderivatives …”
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Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications von Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

“… This paper provides formulas for calculating Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …”
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