Search Results - coderivatives of set-valued mappings

coderivatives of set-valued mappings: Calculus and applications by Mordukhovich, Boris S.

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Stability properties of KKT points in vector optimization by Durea, M., Dutta, J., Tammer, Chr

“…In this article we introduce the notion of approximate Karush-Kuhn-Tucker (KKT) points for smooth, convex and nonsmooth, nonconvex vector optimization…”
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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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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 unification and refinement of several methods…”
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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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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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Coderivatives at infinity of set-valued mappings by Kim, Do Sang, Pham Tien Son, Nguyen, Minh Tung, Nguyen Van Tuyen

“…In this paper, the concept of coderivatives at infinity of set-valued mappings is introduced…”
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Subdifferential necessary conditions in set-valued optimization problems with equilibrium constraints by Bao, Truong Q.

“… Our results are formulated in terms of the subdifferential constructions for set-valued mappings…”
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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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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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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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Lipschitz-like property relative to a set and the generalized Mordukhovich criterion by Meng, K. W., Li, M. H., Yao, W. F., Yang, X. Q.

“… Furthermore, by introducing a projectional coderivative of set-valued mappings, we establish a verifiable generalized Mordukhovich criterion for the Lipschitz-like property relative to a closed and convex set…”
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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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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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Geometric approach to convex subdifferential calculus by Mordukhovich, Boris S., Nam, Nguyen Mau

“… optimal value/marginal functions, normals to inverse images of sets under set-valued mappings, calculus rules for coderivatives of single-valued and set-valued mappings, and calculating coderivatives…”
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Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity by Cuong, D. V., Mordukhovich, B. S., Nam, N. M., Sandine, G.

“… Then we apply this result to derive enhanced calculus rules for normals to convex sets, coderivatives of convex set-valued mappings, and subgradients of extended-real-valued functions under certain…”
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Openness properties for parametric set-valued mappings and implicit multifunctions by Durea, M.

“…The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces…”
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Stability of Implicit Multifunctions in Banach Spaces by Huy, N. Q., Kim, D. S., Ninh, K. V.

“… The basic tools of our analysis involve the Clarke subdifferential, the Clarke coderivative of set-valued mappings, and the Ekeland variational principle…”
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Coderivative characterizations of maximal monotonicity for set-valued mappings by Chieu, N H, Lee, G M, Mordukhovich, B S, Nghia, T T A

“… Using advanced tools of variational analysis, we establish coderivative criteria for maximal monotonicity of set-valued mappings, which seem to be the first infinitesimal characterizations of maximal…”
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Lipschitz properties of nonsmooth functions and set-valued mappings via generalized differentiation by Nam, Nguyen Mau, Lafferriere, Gerardo

“…In this paper, we revisit the Mordukhovich subdifferential criterion for Lipschitz continuity of nonsmooth functions and the coderivative criterion for the Aubin/Lipschitz-like property of set-valued…”
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