Search Results - "coderivative"

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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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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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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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 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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On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings by 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 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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Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces by 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 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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Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions by 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 by Maréchal, Matthieu

“… coderivative concept and of the partial sequential normal compactness…”
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On the Coderivative of the Projection Operator onto the Second-order Cone by Outrata, Jiří V., Sun, Defeng

“…The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone is computed…”
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Coderivative Conditions for Error Bounds of γ-paraconvex Multifunctions by Huang, Hui

“… -paraconvex multifunction are given. In terms of normal cone and coderivative, some results on the existence of error bounds are presented…”
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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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Normal coderivative for multifunctions and implicit function theorems by Lee, G.M., Tam, N.N., Yen, N.D.

“…In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained…”
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