Jourani, A.

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Related article(s)

• C1,.-regularity and Lipschitz-like properties of subdifferential.

  Author(s):Jourani, Thibault, Zagrodny

  Related research area(s): Modern Convex Analysis, Variational Nonsmooth Analysis

  Journal: Proceedings of London Mathematical Society

  Reference: 105 (2012), 189--223.

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• A general metric regularity in Asplund spaces

  Author(s):Amahroq, Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Numerical Functional Analysis and Optimization

  Reference: 19 (1998), 215--226.

• A note on Fréchet and approximate subdifferentials of composite functions

  Author(s):Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Bulletin of Australian Mathematical Society

  Reference: 49 (1994), 111--115.

• Approximate and metric regularity in mathematical programming in Banach space

  Author(s):Jourani, Thibault

  Related research area(s): Optimization, Variational Nonsmooth Analysis

  Journal: Mathematics of Operations research

  Reference: 18 (1993), 390--401.

• Approximate subdifferential and metric regularity: the finite-dimensional case

  Author(s):Jourani, Thibault

  Journal: Mathematical Programming

  Reference: 47 (1990), 203--218.

• Chain rules for coderivatives of multivalued mappings in Banach spaces

  Author(s):Jourani, Thibault

  Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis

  Journal: Proceedings of American Mathematical Society

  Reference: 126 (1998), 1479--1485.

• Coderivative of multivalued mappings, locally compact cones and metric regularity

  Author(s):Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Nonlinear Analysis

  Reference: 35 (1999), 925--945.

• Differential properties of the Moreau envelope

  Author(s):Jourani, Thibault, Zagrodny

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Journal of Functional Analysis

  Reference: 266 (2014), 1185--1237.

• 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.

• Envelopes for sets and functions: regularization and generalized conjugacy

  Author(s):Cabot, Jourani, Thibault

  Related research area(s): Modern Convex Analysis, Variational Nonsmooth Analysis

  Journal: Mathematika

  Reference: 63 (2017), 383--432.

• Extensions of subdifferential calculus rules in Banach spaces

  Author(s):Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Canadian Journal of Mathematics

  Reference: 48 (1996), 183--201.

• Metric regularity and subdifferential calculus in Banach space

  Author(s):Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Set-Valued Analysis

  Reference: 3 (1995), 87--100.

• Metric regularity for strongly compactly Lipschitzian mappings

  Author(s):Jourani, Thibault

  Related research area(s): Optimization, Variational Nonsmooth Analysis

  Journal: Nonlinear Analysis

  Reference: 24 (1995), 229--240.

• Non coincidence of approximate and limiting subdifferentials of integral functionals

  Author(s):Jourani, Thibault

  Related research area(s): Optimal Control

  Journal: SIAM Journal on Control and Optimization

  Reference: 49 (2011), 1435--1453.

  For a locally Lipschitz integral functional defines on the space of integrable functions, the limiting subdifferential and the approximate subdifferential never coincide at a point where the integrand is not subdifferentially regular almost everywhere. The coincidence of both subdifferentials occurs on a dense set of the space of integrable functions if and only if the integrand is a convex integrand. Our results allow us to obtain Aubin's Lipschitz-like property as well as the convexity of multivalued mappings between the spaces of integrable functions. New necessary optimality conditions for some Bolza problems are also obtained.

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• Qualification conditions for calculus rules of coderivatives of multivalued mappings

  Author(s):Jourani, Thibault

  Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis

  Journal: Journal of Mathematical Analysis and Applications

  Reference: 218 (1998), 66--81.

• Reduction of sweeping process to unconstrained differential inclusion

  Author(s):Haddad, Jourani, Thibault

  Related research area(s): Differential Inclusions

  Journal: Pacific Journal of Optimization

  Reference: 4 (2008), 493--512.

• The approximate subdifferential of composite functions

  Author(s):Jourani, Thibault

  Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis

  Journal: Bulletin of Australian Mathematical Society

  Reference: 47 (1993), 443--455.

• The attainment set of the phi-envelope and genericity properties

  Author(s):Cabot, Jourani, Thibault, Zagrodny

  Related research area(s): Geometry of Banach spaces, Modern Convex Analysis, Variational Nonsmooth Analysis

  Journal: Mathematica Scandinavica

  Reference: 124 (2019), 203--246.

• The NSLUC property and Klee envelope

  Author(s):Jourani, Thibault, Zagrodny

  Related research area(s): Functional analysis, Geometry of Banach spaces, Variational Nonsmooth Analysis

  Journal: Mathematische Annalen

  Reference: 365 (2016), 923--967.

• The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions

  Author(s):Jourani, Thibault

  Related research area(s): Variational Nonsmooth Analysis

  Journal: Optimization

  Reference: 21 (1990), 509--519.

• Verifiable conditions for openness and regularity of multivalued mappings in Banch spaces

  Author(s):Jourani, Thibault

  Related research area(s): Set-Valued Analysis, Variational Nonsmooth Analysis

  Journal: Transactions of American Mathematical Society

  Reference: 347 (1995), 1255--1268.