Publications (More than 900 Mathscinet Citations)
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A. Jourani, L. Thibault,
,
``Approximate subdifferential and metric regularity :
Finite dimensional case",
Mathematical Programming, 47 (1990), 203--218.
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A. Jourani, L. Thibault,
, ``The use of metric graphical regularity in approximate subdifferential
calculus rule in finite dimensions",, Optimization, 21 (1990), 509--519.
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A. Jourani,
,
`` On metric regularity of multifunctions", Bulletin of the Australian
Mathematical Society, 44 (1991), 1--9.
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A. Jourani,
``Regularity and strong sufficient optimality conditions in differentiable
optimization problems", Numerical Functional Analysis and Optimization, 14 (1993), 69--87.
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A. Jourani, L. Thibault,
,
``Approximations and metric regularity in mathematical programming
in Banach space",Mathematics of Operations Research, 18 (1993), 390--401.
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A. Jourani, L. Thibault,
``Approximate subdifferential of composite functions",
Bulletin of the Australian Mathematical Society, 47 (1993), 443--455.
.
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A. Jourani,
``Formules d'intersection dans un espace de Banach'',
Comptes rendus de l'Académie des Sciences - Paris, 317 Série I, (1993),825--828.
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A. Jourani,
``Metric regularity and second order necessary optimality
conditions for minimization problems under inclusion constraints",
Journal of Optimization Theory and Applications,
81 (1994), 97--120.
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A. Jourani, L. Thibault,
``A note on Fréchet and approximate subdifferentials of composite
functions'',
Bulletin of the Australian Mathematical Society, 49 (1994), 111--116.
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A. Jourani,
``Tangent directions, tangential approximations and Differentiability of
the marginal function", Ricerche di Matematica, (1994), 11-30.
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A. Jourani,
``On constraint qualifications and Lagrange multipliers in
nondifferentiable programming problems",
Journal of Optimization Theory and Applications,
81 (1994), 533-548.
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A. Jourani,
``Qualification conditions for
multivalued functions in Banach spaces
with applications to nonsmooth vector optimization problems", Mathematical Programming,
66 (1994), 1-23.
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A. Jourani, L. Thibault,
`` Metric regularity for strongly
compactly Lipschitzian mappings",
Nonlinear Analysis Theory Methods and Applications, 24 (1994), 229-240.
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A. Jourani, L. Thibault,
``Metric
regularity and subdifferential calculus in Banach spaces",
Set-valued Analysis, 3 (1995), 87-100.
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A. Jourani,
``Intersection
formulae and the marginal function in Banach spaces'',
Journal of Mathematical Analysis and Applications, 192 (1995), 867-891.
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A. Jourani, L. Thibault,
``Verifiable conditions for openness and metric
regularity of multivalued mappings in Banach spaces'',
Transactions of the American Mathematical Society, 347 (1995), 1255-1268.
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A. Jourani,
``Compactly
epi-Lipschitzian sets and A-subdifferential in WT-spaces",
Optimization, 34 (1995), 1-17.
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A. Jourani,
``Open mapping theorem and inversion theorem for $\gamma$-para-convex
multivalued mappings and applications",
Studia Mathematica, 117 (1996), 123-136.
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A. Jourani,
``Tangency conditions for multivalued mappings",
Set-Valued Analysis, 4 (1996), 157-172.
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A. Jourani,
``Subdifferentiability and subdifferential monotonicity of
$\gamma$-para-convex functions",
Control and Cybernetics, 25 (1996), 721-737.
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A. Jourani, L. Thibault,
`` Extensions of subdifferentials calculus rules in Banach spaces
and applications",
Canadian Journal of Mathematics, 48 (1996), 834-848.
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O. Cornejo, A. Jourani, C. Zălinescu,
``Conditioning and upper-Lipschitz inverse
suddifferentials in nonsmooth optimization problems'',
Journal of Optimization Theory
and Applications, 95 (1997), 127-148.
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A. Jourani, M. Théra,
``More
on limiting Fréchet $\varepsilon$-subdifferentials",
Proc. Symposium on Generalized Convexity,
J. -P. Crouzeix, ed., Kluwer, Dordrecht, (1998), 185-198.
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A. Jourani, L. Thibault,
``Qualification conditions for calculus rules of
coderivatives of multivalued mappings",
Journal of Mathematical Analysis and Applications, 218 (1998), 66-81.
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A. Jourani, L. Thibault,
``Chain rules for coderivatives of multivalued mappings in
Banach spaces",
Proceeding of the American Mathematical Society, 126 (1998), 1479-1485.
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A. Jourani, L. Thibault,
``Coderivatives of multivalued mappings, locally compact cones
and metric regularity",
Nonlinear Analysis Theory Methods and Applications, 35 (1998), 925-945.
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A. Jourani,
``The role of locally compact cones in nonsmooth analysis",
Communications on Applied Nonlinear Analysis, 5 (1998), 1-35.
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A. Jourani,
``Variational
sum of subdifferentials of convex functions",
Proc. of the Fourth Catalan Days on Applied Mathematics, C. Garcia, C. Olivé and M. Sanroma, eds.,
Tarragona Press University, Tarragona, (1998), 71-80.
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A. Jourani,
``limits superior of subdifferentials of uniformly convergent functions
in Banach spaces",
Positivity, 3 (1999), 33-47.
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T. Amahroq, A. Jourani, L. Thibault,
``General metric regularity in Asplund Banach spaces",
Numerical Functional Analysis and Optimization, 19 (1998), 215-226.
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A. Jourani,
``Necessary conditions for extremality and separation theorems with
applications to multiobjective optimization",
Optimization, 44 (1998), 327-350.
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A. Jourani,
``Hoffman's error bound,
local controllability and sensitivity analysis",
SIAM Journal on Control and Optimization 38 (2000),
947-970. (Erratum in the same Journal)
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R. Henrion, A. Jourani,
``Subdifferential conditions
for calmness of convex constraints",
SIAM Journal on Optimization 13 (2002), 520-534.
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A. Jourani,
``Normality, local controllability and NOC in multiobjective optimal control
problems",
Contemporary Trends in Nonlinear Geometric Control Theory and its Applications, Eds A. Anzaldo-Meneses, B. Bonnard, J.-P. Gauthier
and F. Monroy, World Scientific Publishers, Singapore 2002.
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R. Henrion, A. Jourani, J. Outrata,
``On
calmness of a class of multifunctions",
SIAM Journal on Optimization 13 (2002), 603-618 .
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S.D. Flåm, A. Jourani,
``Strategic behavior and partial cost sharing",
Journal of Games and Economic Behavior 43 (2003), 44-56.
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A. Jourani,
``On a
Class of Compactly Epi-Lipschitzian sets",
Nonlinear Analysis Theory Methods and Applications 54 (2003), 471-483.
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S. Bellaassali, A. Jourani,
"Necessary optimality conditions in multiobjective dynamic
optimization",
SIAM
Journal On Control and Optimization, 42 (2003), 2043-2061.
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P. Bosch, R. Henrion, A. Jourani,
`` Sufficient conditions
for error bounds and applications",
Applied Mathematics and Optimization, 50 (2004), 161-181.
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A. Jourani, J. Ye,
`` Error bounds for
eigenvalues and semidefinite matrix inequality systems",
Mathematical Programming, 104 (2005), 525-540.
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A. Jourani,
``
Weak regularity of functions and sets in Asplund spaces",
Nonlinear Analysis Theory Methods and Applications, 65 (2006), 660-676.
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S.D. Flåm, A. Jourani,
``Prices and Pareto Optima",
Optimization, 55 (2006), no. 5-6, 611--625.
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A. Jourani,
``Radiality and semismoothness",
Control and Cybernetics,36 (2007), 669-680.
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S. Bellaassali, A. Jourani,
``Lagrange multipliers for multiobjective programs with a
general preference",
Set-Valued Analysis, 16 (2008), 229-243.
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T. Haddad, A. Jourani, L. Thibault
``Reduction of sweeping process to unconstrained differential inclusion",
Pacific Journal of Optimization, 4 (2008), 493-512.
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A. Jourani, C. Michelot, M. Ndiaye,
``Efficiency for continuous facility location problems with attraction and repulsion",
Annals of Operations Research, 167 (2009), 43-60.
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S.D. Flåm, J. B. Hiriart-Urruty, A. Jourani,
``Feasibility in finite time", Journal of
Dynamical and Control Systems, 15 (2009), 537-555.
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A. Jourani,
``Lagrangian and Hamiltonian necessary conditions for the generalized
Bolza problem and applications", Journal of Nonlinear and
Convex Analysis, 10 (2009), 437-454
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A. Jourani, L. Thibault,
``Noncoincidence of the approximate and limiting Fréchet subdifferentials of integral
functionals", SIAM Journal on Control and Optimization, 49 (2011), 1435–1453.
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A. Jourani, D. Zagrodny,
``The positiveness of lower limits of the Hoffman constant in parametric polyhedral
programs", Journal of Global Optimization, 53 (2012), 641-661.
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A. Jourani,
`` Controllability and strong controllability of differential inclusions",
Nonlinear Analysis Theory Methods and Applications, 75 (2012), 1374-1384.
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A. Jourani, L. Thibault, D. Zagrodny,
`` $C^{1,\omega(\cdot)}$-regularity and Lipschitz-like properties of
subdifferential",
Proceedings of the London Mathematical Society, 105 (2012), 189-223.
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A. Jourani and M. Serhani,
`` Dynamic behavior of a wastewater treatment problem with moving data",
Journal of Applied Mathematics and Informatics, 30 (2012), 883-902.
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A. Jourani, L. Thibault, D. Zagrodny,
`` Differential properties of the Moreau envelope", Journal of Functional Analysis, 266 (2014), 1185–1237.
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A. Jourani, T. Zakaryan,
`` The validity of the ``liminf" formula and a characterization of Asplund spaces", Journal of Mathematical
Analysis and Applications, 416 (2014), 824–838.
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F. Flores-Bazán, A. Jourani, G. Mastroeni,
``On the convexity of the value function for a class of nonconvex
variational problems: existence and optimality conditions",
SIAM Journal on Control and Optimization, 52 (2014), 3673–3693.
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A. Jofre, A. Jourani,
``Characterizations of the free disposal condition for nonconvex economies on infinite-dimensional commodity spaces",
SIAM Journal on Optimization, 25 (2015), 699--712.
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R. Correa, A. Hantoute, A. Jourani,
``Characterizations of convex approximate subdifferential calculus in Banach spaces",
Transactions of the American Mathematical Society, 368 (2016), 4831-4854.
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A. Jourani, L. Thibault, D. Zagrodny,
`` The NSLUC property and Klee envelope", Mathematische Annalen, 365 (2016), 923-967.
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A. Jourani, E. Vilches,
``Positively alpha-far sets and existence results for generalized perturbed sweeping processes",
Journal
of Convex Analysis, 23 (2016), 775-821.
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A. Cabot, A. Jourani, L. Thibault,
``Envelopes for sets and functions: Regularization and generalized conjuguacy",
Mathematika, 63 (2017), 483-432.
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A. Jourani, E. Vilches,
``Moreau-Yosida Regularization of State-dependent Sweeping Processes with Nonregular Sets",
Journal
of Optimization Theory and Applications, 173 (2017), 91-116.
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A. Jourani, E. Vilches,
``Galerkin-like method and generalized perturbed sweeping process with nonregular sets",
SIAM Journal on Control and Optimization, 55 (2017), 2412–2436.
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A. Jourani, M. Séne,
``Characterization of the Clarke regularity of subanalytic sets",
Proceedings of the American Mathematical Society, 146 (2018), 1639–1649.
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T. Amahroq, A. Jourani,
"Restricted limiting subdifferential and applications",
Vietnam Journal of Mathematics, 46 (2018), 259–269.
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A. Hantoute, A Jourani,
"Hiriart-Urruty–Phelps-Like Formula for the Subdifferential of Integral Sums",
Vietnam Journal of Mathematics, 46 (2018), 391–405.
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A. Jourani, E. Vilches,
"Constrained Differential Inclusions with Nonlocal Initial Conditions",
Pure and Applied Functional Analysis, 3 (2018), 463-492.
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A. Cabot, A. Jourani, L. Thibault,
"Enveloppes for sets and functions II: Generalized polarity and conjugacy",
Journal of Nonlinear and Convex Analysis,
19 (2018), 1-22.
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A. Barbara, A. Jourani, S. Vaiter,
"Maximal solutions of sparse analysis regularization",
Journal of Optimization Theory and Applications, 180 ( 2019), 374-396.
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A. Jourani, E. Vilches,
"A differential equation approach to implicit sweeping processes",
Journal of Differential Equations, 266 (2019), 5168-5184.
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A. Cabot, A. Jourani, L. Thibault, D. Zagrodny,
"The attainment set of $\varphi$-envelope and genericity properties",
Mathematica Scandinavica, 124 (2019), 1-44.
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A. Jourani, F. Silva,
"Existence of Lagrange multipliers under Gâteaux differentiable data with applications to stochastic optimal control problems",
SIAM Journal on Optimization, 1 (2020), 319-348.
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A. Jourani, M. Séne,
``Geometric characterizations of the strict Hadamard differentiability of sets",
Pure and Applied Functional Analysis, 6 (2021), 1333–1346. https://hal.archives-ouvertes.fr/hal-03452691.
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D.T.V. An, A. Jourani,
``Subdifferentials of the Marginal Functions in Parametric
Convex Optimization via Intersection Formulas", Journal of Optimization Theory and Applications, 192, (2022), 82-96. https://hal.archives-ouvertes.fr/hal-03448368
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A. Barbara, A. Jourani,
``Error bound characterizations of the conical constraint qualification in convex programming", SIAM Journal on Optimization, 32 (2022), 2013–2040.
https://hal.archives-ouvertes.fr/hal-03225245
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A. Hantoute, A. Jourani,
``Subdifferential and Conjugate Calculus
of Integral Functions with and without
Qualification Conditions", Journal of Convex Analysis, 30 (2023), 1-29.
https://hal.archives-ouvertes.fr/hal-03672604
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R. Henrion, A. Jourani, B.S. Mordukhovich,
``Controlled polyhedral sweeping processes: existence,
stability, and optimality conditions", Journal of Differential Equations 366 (2023), 408–443. (November 2021.
https://hal.archives-ouvertes.fr/hal-03448387v1)
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A. Hantoute, A. Jourani, J. Vicente-Pérez,
``Lebesgue Infinite Sums of Convex Functions: Subdifferential Calculus'',
Journal of Convex Analysis 30 (2023), 1053-1072.