Suchergebnisse - coderivative~

Coderivative-based semi-Newton method in nonsmooth difference programming: Coderivative-based semi-Newton method in nonsmooth 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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Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization von 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 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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Projectional Coderivatives and Calculus Rules von 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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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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Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces von 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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On the coderivative of the projection operator onto the positive cone in Hilbert spaces von Van Hien, Le, Viet Quan, Nguyen

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Estimates for coderivative of solution map in bilevel program von 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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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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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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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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On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings von Nghia, T. T. A., Pham, D. T., Tran, T. T. T.

“… This paper concerns the interconnection between the positive definiteness of limiting coderivative and the local strong maximal monotonicity of set-valued mappings suspected in Mordukhovich and Nghia (SIAM J. Optim. 26 , 1032 …”
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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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Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces von Nam, Nguyen Mau, Phan, Hung M., Wang, Bingwu

“… In this paper, we study bornological generalized differential properties of sets with nonsmooth boundaries, nonsmooth functions, and set-valued mappings in …”
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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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Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions von Durea, Marius, Huynh, Van Ngai, Nguyen, Huu Tron, Strugariu, Radu

“… The paper concerns a new method to obtain a proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the …”
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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool von Maréchal, Matthieu

“… coderivative concept and of the partial sequential normal compactness …”
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Coderivatives in parametric optimization von 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 von 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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