All ressources related to this research area.
Set-Valued Analysis
Some papers on Set-valued Analysis study: Inclusions of subdifferentials, Compact variations for compactly Lipschitzian vector-valued functions, Conditional expectations of integrands and set-valued mappings,...
Related book(s)
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Prox-Regular Sets and Applications
Editor: International Press
Publication date: 2010
Related research areas: Modern Convex Analysis, Set-Valued Analysis, Variational Nonsmooth Analysis
The above title corresponds to a chapter, pages 99-182, of ''Handbook of Nonconvex Analysis and Applications'' Int. Press, Somerville, MA, 2010, Editor
Related article(s)
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Chain rules for coderivatives of multivalued mappings in Banach spaces
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Proceedings of American Mathematical Society
Reference: 126 (1998), 1479--1485.
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Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
Author(s):Adly, Haddad, Thibault
Related research area(s): Differential Inclusions, Modern Convex Analysis, Set-Valued Analysis
Journal: Mathematical Programming
Reference: 148 (2014), 5--48.
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Enlarged inclusions of subdifferentials
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Canadian Mathematical Bulletin
Reference: 48 (2005), 283--301.
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Espérances conditionnelles d'intégrandes semi-continus
Author(s):Thibault
Related research area(s): Set-Valued Analysis
Journal: Annales Institut Henri Poincaré
Reference: 17 (1981), 337--350.
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Evolution differential inclusions associated to primla lower regular functions
Related research area(s): Differential Inclusions, Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Nonlinear and Convex Analysis
Reference: 20 (2019), 1949--1979.
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Evolution problems associated with primal lower nice functions
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Convex Analysis
Reference: 13 (2006), 385--421.
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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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Partial extensions of Attouch's theorem with applications to proto-derivatives of subgradient mappings
Author(s):Levy, Poliquin, Thibault
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Transactions of American Mathematical Society
Reference: 347 (1995), 1269--1294.
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Prox-regularity approach to generalized equations and image projection
Author(s):Adly, Nacry, Thibault
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: ESAIM Control Optim. Calc. Var.
Reference: 24 (2018), 677--708.
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Qualification conditions for calculus rules of coderivatives of multivalued mappings
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Mathematical Analysis and Applications
Reference: 218 (1998), 66--81.
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Quasi-interiorly e-tangent cones to multifunctions
Author(s):El Abdouni, Thibault
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Numerical Functional Analysis and Optimization
Reference: 10 (1989), 619--641.
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Reduction of state dependent sweeping process to unsconstrained differential inclusion
Author(s):Haddad, Kecis, Thibault
Related research area(s): Differential Inclusions, Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Global Optimization
Reference: 62 (2015), 167--182.
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Regularization of dynamical systems associated with prox-regular moving sets
Related research area(s): Differential Inclusions, Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Nonlinear and Convex Analysis
Reference: 15 (2014), 647--663.
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Scalarization of tangential regularity of set-valued mappings
Author(s):Thibault
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Set-Valued Analysis
Reference: 7 (1999), 33--53.
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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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The approximate subdifferential of composite functions
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Bulletin of Australian Mathematical Society
Reference: 47 (1993), 443--455.
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Various Lipschitz-like properties for functions and sets II: subdifferential and normal characterizations
Author(s):Correa, Gajardo, Thibault
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Journal of Convex Analysis
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Verifiable conditions for openness and regularity of multivalued mappings in Banch spaces
Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis
Journal: Transactions of American Mathematical Society
Reference: 347 (1995), 1255--1268.
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Viability for constrained stochastic differential equations
Related research area(s): Differential Inclusions, Set-Valued Analysis
Journal: Differential Integral Equations
Reference: 6 (1993), 1395--1414.