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Optimization
Several of my publications related to Optimization are concerned with the role of the concept of Metric Regularity in Optimization: Necessary optimality conditions, Sensitivity analysis, etc
Related article(s)
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Approximate and metric regularity in mathematical programming in Banach space
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Mathematics of Operations research
Reference: 18 (1993), 390--401.
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b-Subgradients of the optimal value function in nonlinear programming
Related research area(s): Optimization
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Envelopes for sets and functions II: generalized polarity and conjugacy
Author(s):Cabot, Jourani, Thibault
Related research area(s): Modern Convex Analysis, Optimization
Journal: Linear and Nonlinear Analysis
Reference: 19 (2018), 1297--1318.
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Infimal convolution and optimal time control problem I: Frechet and proximal subdifferential
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Set-Valued and Variational Analysis
Reference: 26 (2018), 581--606.
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Infimal convolution and optimal time control problem II: limiting subdifferential
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Set-Valued and Variational Analysis
Reference: 25 (2017), 517--542.
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Infimal convolution and optimal time control problem III: minimal time projection set
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: SIAM Journal on Optimization
Reference: 28 (2018), 30--44.
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Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces
Author(s):El Abdouni, Thibault
Related research area(s): Optimization
Journal: Optimization
Reference: 26 (1992), 277--285.
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Metric regularity for strongly compactly Lipschitzian mappings
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Nonlinear Analysis
Reference: 24 (1995), 229--240.
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On subdifferentials of optimal value functions
Author(s):Thibault
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: SIAM Journal on Control and Optimization
Reference: 29 (1991), 1019--1036.
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Optimality conditions for problems with set-valued objectives
Author(s):El Abdouni, Thibault
Related research area(s): Optimization, Set-Valued Analysis
Journal: Journal of Applied Analysis
Reference: 2 (1996), 183--201.
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Preservation of uniform prox-regularity and application to constrained optimization
Author(s):Adly, Nacry, Thibault
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: SIAM Journal on Optimization
Reference: 26 (2016), 448--473.
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Primal-lower-nice property of value functions in optimization and control problems
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Set-Valued and Variational Analysis
Reference: 18 (2010), 569--600.
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Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle
Author(s):Gutiérrez, Jiménez, Novo, Thibault
Related research area(s): Optimization, Set-Valued Analysis
Journal: Nonlinear Analysis
Reference: 73 (2010), 3842--3855.
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Sublevel representation of epi-Lipschitz sets and other properties
Related research area(s): Optimization, Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Mathematical Programming
Reference: 168 (2018), 555--569.
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Variational convergence of composed convex functions
Related research area(s): Modern Convex Analysis, Optimization
Journal: Journal of Positivity
Reference: 9 (2005), 115--147.
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Well-posedness and subdifferentials of optimal value and infimal convolution
Related research area(s): Optimization, Variational Nonsmooth Analysis
Journal: Set-Valued and Variational Analysis
Reference: 27 (2019), 841--861.