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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 65, 2016 - Issue 4
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On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications

Helmut GfrererInstitute of Computational Mathematics, Johannes Kepler University Linz, Linz, Austria.Correspondence[email protected]
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Jiří V. OutrataInstitute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Prague, Czech Republic.;Centre for Informatics and Applied Optimization, School of Science, Information Technology and Engineering, Federation University of Australia, Ballarat, Australia.View further author information
Pages 671-700 | Received 05 Dec 2014, Accepted 31 May 2015, Published online: 20 Jul 2015

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Nguyen Huu Tron, Dao Ngoc Han & Huynh Van Ngai. (2023) Nonlinear metric regularity on fixed sets. Optimization 72:6, pages 1515-1548.
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Daniel Hoff & Patrick Mehlitz. Notes on the value function approach to multiobjective bilevel optimization. Optimization 0:0, pages 1-37.
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Articles from other publishers (16)

A. F. Izmailov & M. V. Solodov. (2024) On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations. Journal of Optimization Theory and Applications.
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V. D. Thinh, T. D. Chuong & N. L. H. Anh. (2021) Second order variational analysis of disjunctive constraint sets and its applications to optimization problems. Optimization Letters 15:6, pages 2201-2224.
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Helmut Gfrerer & Jane J. Ye. (2019) New Sharp Necessary Optimality Conditions for Mathematical Programs with Equilibrium Constraints. Set-Valued and Variational Analysis 28:2, pages 395-426.
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Aram V. Arutyunov & Alexey F. Izmailov. (2020) Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM Journal on Optimization 30:1, pages 604-629.
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Jane J. Ye. 2020. Bilevel Optimization. Bilevel Optimization 227 251 .
Helmut Gfrerer. (2018) Linearized M-stationarity Conditions for General Optimization Problems. Set-Valued and Variational Analysis 27:3, pages 819-840.
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Matúš Benko, Helmut Gfrerer & Boris S. Mordukhovich. (2019) Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming. SIAM Journal on Optimization 29:4, pages 3100-3130.
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A. V. Arutyunov & A. F. Izmailov. (2017) Stability of Possibly Nonisolated Solutions of Constrained Equations, with Applications to Complementarity and Equilibrium Problems. Set-Valued and Variational Analysis 26:2, pages 327-352.
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Van Nghi Tran. (2018) Coderivatives Related to Parametric Extended Trust Region Subproblem and Their Applications. Taiwanese Journal of Mathematics 22:2.
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Lukáš Adam, René Henrion & Jiří Outrata. (2017) On M-stationarity conditions in MPECs and the associated qualification conditions. Mathematical Programming 168:1-2, pages 229-259.
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A. F. Izmailov, A. S. Kurennoy & M. V. Solodov. (2016) Critical solutions of nonlinear equations: stability issues. Mathematical Programming 168:1-2, pages 475-507.
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A. F. Izmailov, A. S. Kurennoy & M. V. Solodov. (2017) Critical solutions of nonlinear equations: local attraction for Newton-type methods. Mathematical Programming 167:2, pages 355-379.
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Nguyen Huy Chieu, Le Van Hien & Tran T. A. Nghia. (2018) Characterization of Tilt Stability via Subgradient Graphical Derivative with Applications to Nonlinear Programming. SIAM Journal on Optimization 28:3, pages 2246-2273.
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Boris S. MordukhovichBoris S. Mordukhovich. 2018. Variational Analysis and Applications. Variational Analysis and Applications 103 160 .
Helmut Gfrerer & Jane J. Ye. (2017) New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis. SIAM Journal on Optimization 27:2, pages 842-865.
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Nguyen Huy Chieu & Le Van Hien. (2017) Computation of Graphical Derivative for a Class of Normal Cone Mappings under a Very Weak Condition. SIAM Journal on Optimization 27:1, pages 190-204.
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