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Author ID: aze.dominique Recent zbMATH articles by "Azé, Dominique"
Published as: Azé, D.; Azé, Dominique; Aze, D.; Aze, Dominique
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 545 times in 382 Documents Cited by Year
Characterizations of error bounds for lower semicontinuous functions on metric spaces. Zbl 1085.49019
Azé, Dominique; Corvellec, Jean-Noël
74
2004
A unified theory for metric regularity of multifunctions. Zbl 1101.49013
Azé, D.
54
2006
A survey on error bounds for lower semicontinuous functions. Zbl 1037.49009
Azé, D.
48
2003
Operations on convergent families of sets and functions. Zbl 0719.49013
Azé, D.; Penot, J.-P.
47
1990
On the sensitivity analysis of Hoffman constants for systems of linear inequalities. Zbl 1014.65046
Azé, D.; Corvellec, J.-N.
40
2002
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method. Zbl 0780.41021
Attouch, H.; Aze, D.
38
1993
Variational pairs and applications to stability in nonsmooth analysis. Zbl 1035.49014
Azé, D.; Corvellec, J.-N.; Lucchetti, R. E.
27
2002
Elements of convex and variational analysis. (Éléments d’analyse convexe et variationnelle.) Zbl 0933.49001
Azé, Dominique
19
1997
Convergence of convex-concave saddle functions: Applications to convex programming and mechanics. Zbl 0667.49009
Azé, Dominique; Attouch, Hedy; Wets, Roger J.-B.
18
1988
Uniformly convex and uniformly smooth convex functions. Zbl 0870.49010
Azé, Dominique; Penot, Jean-Paul
15
1995
On some inverse stability problems for the epigraphical sum. Zbl 0743.49005
Attouch, H.; Azé, D.; Beer, G.
13
1991
Variational methods in classical open mapping theorems. Zbl 1120.49003
Azé, D.; Corvellec, J.-N.
11
2006
A stability result in quasi-convex programming. Zbl 0687.90074
Aze, D.; Volle, M.
11
1990
Nonlinear local error bounds via a change of metric. Zbl 1317.49017
Azé, D.; Corvellec, J.-N.
10
2014
On a Newton type iterative method for solving inclusions. Zbl 0860.41030
Azé, D.; Chou, C. C.
9
1995
A variational method in fixed point results with inwardness conditions. Zbl 1113.47044
Azé, D.; Corvellec, J.-N.
8
2006
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
8
2002
On implicit multifunction theorems. Zbl 1159.47037
Azé, D.; Benahmed, S.
8
2008
Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints. Zbl 0943.47036
Azé, Dominique; Chou, Chin Cheng; Penot, Jean-Paul
7
1998
On some variational properties of metric spaces. Zbl 1172.49012
Azé, D.; Corvellec, J.-N.
7
2009
Optimality conditions for constrained convex parabolic control problems via duality. Zbl 0963.49017
Azé, D.; Bolintinéanu, S.
6
2000
Nonlinear error bounds via a change of function. Zbl 1356.49025
Azé, Dominique; Corvellec, Jean-Noël
6
2017
Lipschitz behaviour of the Legendre-Fenchel transform. Zbl 0824.90108
Azé, D.; Rahmouni, A.
5
1994
Duality for the sum of convex functions in general normed spaces. Zbl 0821.49004
Azé, D.
5
1994
Fast controls and minimum time. Zbl 1004.93024
Azé, D.; Cârjǎ, O.
5
2000
Caractérisation de la convergence au sens de Mosco en terme d’approximations inf-convolutives. (Characterization of Mosco convergence in terms of inf-convolutive approximations). Zbl 0612.49009
Aze, Dominique
5
1986
On the dependence of fixed point sets of pseudo-contractive multifunctions. Application to differential inclusions. Zbl 1147.34309
Azé, D.; Penot, J.-P.
4
2006
Intrinsic bounds for Kuhn-Tucker points of perturbed convex programs. Zbl 0845.90096
Azé, D.; Rahmouni, A.
4
1995
An inversion theorem for set-valued maps. Zbl 0639.58001
Aze, D.
4
1988
Recent quantitative results about the convergence of convex sets and functions. Zbl 0672.26007
Azé, Dominique; Penot, Jean-Paul
3
1989
Convergence des variables duales dans des problèmes de transmission à travers des couches minces par des méthodes d’épi-convergence. (Convergence of dual variables in problems of transmission through thin layers by epi-convergence methods). Zbl 0611.49006
Aze, D.
3
1986
On primal-dual stability in convex optimization. Zbl 0876.90085
Azé, Dominique; Rahmouni, Abdelouahed
2
1996
Some remarks on the optimal design of periodically reinforced structures. Zbl 0679.49005
Aze, Dominique; Buttazzo, Giuseppe
2
1989
On the remainder of the first order development of convex functions. Zbl 1100.49506
Azé, Dominique
2
1999
Rate of convergence for the saddle points of convex-concave functions. Zbl 0632.49011
Aze, D.
2
1988
Systemes hamiltoniens: leurs solutions périodiques. Avec la collaboration de Dominique Aze. Zbl 0524.70018
Blot, Joel
2
1982
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method. Zbl 0745.41032
Attouch, H.; Azé, D.
2
1990
Various continuity properties of the deconvolution (or epigraphical difference). Zbl 0779.49016
Azé, D.; Volle, M.
2
1992
On fixed points of generalized set-valued contractions. Zbl 1185.54041
Benahmed, S.; Azé, D.
2
2010
The Joly topology and the Mosco-Beer topology revisited. Zbl 0822.46084
Azé, Dominique; Penot, Jean-Paul
1
1993
Equicalmness and epiderivatives that are pointwise limits. Zbl 0911.90271
Azé, D.; Poliquin, R. A.
1
1998
Stability of supporting and exposing elements of convex sets in Banach spaces. Zbl 1004.46013
Azé, D.; Lucchetti, R.
1
1996
Computable dual characterizations of asymptotically well-behaved convex functions. Zbl 1110.49307
Aze, Dominique; Michel, Laurence
1
1999
A contribution to Reich’s conjecture. Zbl 07121535
Azé, Dominique; Corvellec, Jean-Noël
1
2019
On some inverse stability problems for the epigraphical sum. Zbl 0728.49005
Attouch, H.; Azé, D.; Beer, B.
1
1989
An example of stability for the minima of a sequence of \(DC\) functions: Homogenization for a class of nonlinear Sturm-Liouville problems. Zbl 0825.49006
Azé, D.
1
1988
Qualitative results about the convergence of convex sets and convex functions. Zbl 0767.54001
Aze, D.; Penot, J.-P.
1
1992
Variational analysis and optimisation. Course elements and solved exercises and problems. Bachelor 3 (L3), Master 1 (M1). (Analyse variationnelle et optimisation. Éléments de cours, exercices et problèmes corrigés. Licence 3 (L3), Master 1 (M1).) Zbl 1222.49001
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
1
2010
A contribution to Reich’s conjecture. Zbl 07121535
Azé, Dominique; Corvellec, Jean-Noël
1
2019
Nonlinear error bounds via a change of function. Zbl 1356.49025
Azé, Dominique; Corvellec, Jean-Noël
6
2017
Nonlinear local error bounds via a change of metric. Zbl 1317.49017
Azé, D.; Corvellec, J.-N.
10
2014
On fixed points of generalized set-valued contractions. Zbl 1185.54041
Benahmed, S.; Azé, D.
2
2010
Variational analysis and optimisation. Course elements and solved exercises and problems. Bachelor 3 (L3), Master 1 (M1). (Analyse variationnelle et optimisation. Éléments de cours, exercices et problèmes corrigés. Licence 3 (L3), Master 1 (M1).) Zbl 1222.49001
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
1
2010
On some variational properties of metric spaces. Zbl 1172.49012
Azé, D.; Corvellec, J.-N.
7
2009
On implicit multifunction theorems. Zbl 1159.47037
Azé, D.; Benahmed, S.
8
2008
A unified theory for metric regularity of multifunctions. Zbl 1101.49013
Azé, D.
54
2006
Variational methods in classical open mapping theorems. Zbl 1120.49003
Azé, D.; Corvellec, J.-N.
11
2006
A variational method in fixed point results with inwardness conditions. Zbl 1113.47044
Azé, D.; Corvellec, J.-N.
8
2006
On the dependence of fixed point sets of pseudo-contractive multifunctions. Application to differential inclusions. Zbl 1147.34309
Azé, D.; Penot, J.-P.
4
2006
Characterizations of error bounds for lower semicontinuous functions on metric spaces. Zbl 1085.49019
Azé, Dominique; Corvellec, Jean-Noël
74
2004
A survey on error bounds for lower semicontinuous functions. Zbl 1037.49009
Azé, D.
48
2003
On the sensitivity analysis of Hoffman constants for systems of linear inequalities. Zbl 1014.65046
Azé, D.; Corvellec, J.-N.
40
2002
Variational pairs and applications to stability in nonsmooth analysis. Zbl 1035.49014
Azé, D.; Corvellec, J.-N.; Lucchetti, R. E.
27
2002
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
8
2002
Optimality conditions for constrained convex parabolic control problems via duality. Zbl 0963.49017
Azé, D.; Bolintinéanu, S.
6
2000
Fast controls and minimum time. Zbl 1004.93024
Azé, D.; Cârjǎ, O.
5
2000
On the remainder of the first order development of convex functions. Zbl 1100.49506
Azé, Dominique
2
1999
Computable dual characterizations of asymptotically well-behaved convex functions. Zbl 1110.49307
Aze, Dominique; Michel, Laurence
1
1999
Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints. Zbl 0943.47036
Azé, Dominique; Chou, Chin Cheng; Penot, Jean-Paul
7
1998
Equicalmness and epiderivatives that are pointwise limits. Zbl 0911.90271
Azé, D.; Poliquin, R. A.
1
1998
Elements of convex and variational analysis. (Éléments d’analyse convexe et variationnelle.) Zbl 0933.49001
Azé, Dominique
19
1997
On primal-dual stability in convex optimization. Zbl 0876.90085
Azé, Dominique; Rahmouni, Abdelouahed
2
1996
Stability of supporting and exposing elements of convex sets in Banach spaces. Zbl 1004.46013
Azé, D.; Lucchetti, R.
1
1996
Uniformly convex and uniformly smooth convex functions. Zbl 0870.49010
Azé, Dominique; Penot, Jean-Paul
15
1995
On a Newton type iterative method for solving inclusions. Zbl 0860.41030
Azé, D.; Chou, C. C.
9
1995
Intrinsic bounds for Kuhn-Tucker points of perturbed convex programs. Zbl 0845.90096
Azé, D.; Rahmouni, A.
4
1995
Lipschitz behaviour of the Legendre-Fenchel transform. Zbl 0824.90108
Azé, D.; Rahmouni, A.
5
1994
Duality for the sum of convex functions in general normed spaces. Zbl 0821.49004
Azé, D.
5
1994
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method. Zbl 0780.41021
Attouch, H.; Aze, D.
38
1993
The Joly topology and the Mosco-Beer topology revisited. Zbl 0822.46084
Azé, Dominique; Penot, Jean-Paul
1
1993
Various continuity properties of the deconvolution (or epigraphical difference). Zbl 0779.49016
Azé, D.; Volle, M.
2
1992
Qualitative results about the convergence of convex sets and convex functions. Zbl 0767.54001
Aze, D.; Penot, J.-P.
1
1992
On some inverse stability problems for the epigraphical sum. Zbl 0743.49005
Attouch, H.; Azé, D.; Beer, G.
13
1991
Operations on convergent families of sets and functions. Zbl 0719.49013
Azé, D.; Penot, J.-P.
47
1990
A stability result in quasi-convex programming. Zbl 0687.90074
Aze, D.; Volle, M.
11
1990
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method. Zbl 0745.41032
Attouch, H.; Azé, D.
2
1990
Recent quantitative results about the convergence of convex sets and functions. Zbl 0672.26007
Azé, Dominique; Penot, Jean-Paul
3
1989
Some remarks on the optimal design of periodically reinforced structures. Zbl 0679.49005
Aze, Dominique; Buttazzo, Giuseppe
2
1989
On some inverse stability problems for the epigraphical sum. Zbl 0728.49005
Attouch, H.; Azé, D.; Beer, B.
1
1989
Convergence of convex-concave saddle functions: Applications to convex programming and mechanics. Zbl 0667.49009
Azé, Dominique; Attouch, Hedy; Wets, Roger J.-B.
18
1988
An inversion theorem for set-valued maps. Zbl 0639.58001
Aze, D.
4
1988
Rate of convergence for the saddle points of convex-concave functions. Zbl 0632.49011
Aze, D.
2
1988
An example of stability for the minima of a sequence of \(DC\) functions: Homogenization for a class of nonlinear Sturm-Liouville problems. Zbl 0825.49006
Azé, D.
1
1988
Caractérisation de la convergence au sens de Mosco en terme d’approximations inf-convolutives. (Characterization of Mosco convergence in terms of inf-convolutive approximations). Zbl 0612.49009
Aze, Dominique
5
1986
Convergence des variables duales dans des problèmes de transmission à travers des couches minces par des méthodes d’épi-convergence. (Convergence of dual variables in problems of transmission through thin layers by epi-convergence methods). Zbl 0611.49006
Aze, D.
3
1986
Systemes hamiltoniens: leurs solutions périodiques. Avec la collaboration de Dominique Aze. Zbl 0524.70018
Blot, Joel
2
1982
all top 5

Cited by 395 Authors

25 Penot, Jean-Paul
17 Beer, Gerald Alan
17 Théra, Michel A.
16 Huynh Van Ngai
15 Kruger, Alexander Y.
13 Azé, Dominique
12 Cánovas, María Josefa
12 Parra, Juan
10 Attouch, Hedy
10 Ioffe, Alexander Davidovich
9 López-Cerdá, Marco Antonio
8 Corvellec, Jean-Noël
8 Geoffroy, Michel H.
8 Roberto, Lucchetti E.
7 Uderzo, Amos
6 Adly, Samir
6 Toledo, Fco. Javier
5 Alduncin, Gonzalo
5 Durea, Marius
5 Gaydu, Michaël
5 Hantoute, Abderrahim
5 Henrion, René
5 Huang, Hui
5 Jourani, Abderrahim
5 Outrata, Jiří V.
5 Strugariu, Radu
5 Wei, Zhou
5 Wets, Roger Jean-Baptiste
5 Yao, Jen-Chih
5 Zălinescu, Constantin
5 Zheng, Xiyin
4 Aboussoror, Abdelmalek
4 Dolgopolik, Maxim Vladimirovich
4 El Maghri, Mounir
4 Goberna, Miguel Angel
4 Nguyen, Huu Tron
4 Royset, Johannes O.
4 Stein, Oliver
4 Thao, Nguyen Hieu
4 Tron, Nguyen Huu
4 Yang, Xiaoqi
4 Zhang, Kewei
3 Bednarczuk, Ewa M.
3 Bouchitté, Guy
3 Cârjă, Ovidiu
3 Cheng, Wei
3 Crooks, Elaine C. M.
3 Eberhard, Andrew C.
3 Fragalà, Ilaria
3 Hiriart-Urruty, Jean-Baptiste
3 Huynh, van Ngai
3 Luke, David Russell
3 Martínez-Legaz, Juan-Enrique
3 Mentagui, Driss
3 Morgan, Jacqueline
3 Moudafi, Abdellatif
3 Ng, Kung-Fu
3 Nghia, Tran Thai An
3 Orlando, Antonio
3 Phan Quôc Khánh
3 Qiu, Dong
3 Quincampoix, Marc
3 Rockafellar, Ralph Tyrrell
3 Saissi, Fatima Ezzahra
3 Seeger, Alberto
3 Thai Doan Chuong
3 Thibault, Lionel
3 Truong Xuan Duc Ha
3 Volle, Michel
3 Zhu, Jiangxing
2 Bello Cruz, Yunier Y.
2 Bomze, Immanuel M.
2 Cabot, A.
2 Cabot, Alexandre
2 Chao, Miantao
2 Chen, Cui
2 Chou, Chin-Cheng
2 Cibulka, Radek
2 Correa, Rafael Augusto Couceiro
2 Cuong, Nguyen Duy
2 Daniilidis, Aris
2 Deshpande, B. M.
2 Diem, Huynh Thi Hong
2 Ernst, Emil O.
2 Fabian, Marián J.
2 Gfrerer, Helmut
2 Gutú, Olivia
2 He, Qinghai
2 Hoheisel, Tim
2 Ivanov Todorov, Maxim
2 Jean-Alexis, Célia
2 Jeyakumar, Vaithilingam
2 Klatte, Diethard
2 Kogut, Peter I.
2 Kummer, Bernd
2 Lazu, Alina Ilinca
2 Le Dret, Hervé
2 Le Guyader, Carole
2 Le Thi, Hoai An
2 Li, Guoyin
...and 295 more Authors
all top 5

Cited in 93 Serials

33 Journal of Optimization Theory and Applications
32 Set-Valued and Variational Analysis
28 Journal of Mathematical Analysis and Applications
27 Mathematical Programming. Series A. Series B
18 Optimization
17 Set-Valued Analysis
16 SIAM Journal on Optimization
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Optimization Letters
10 Proceedings of the American Mathematical Society
10 Transactions of the American Mathematical Society
9 Numerical Functional Analysis and Optimization
9 Journal of Global Optimization
9 Vietnam Journal of Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Mathematics of Operations Research
5 Nonlinear Analysis. Theory, Methods & Applications
4 Applicable Analysis
4 Bulletin of the Australian Mathematical Society
4 Journal of Fixed Point Theory and Applications
3 Applied Mathematics and Optimization
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Journal of Convex Analysis
3 Journal of Inequalities and Applications
3 Fixed Point Theory and Applications
2 Archiv der Mathematik
2 Journal of Approximation Theory
2 Journal of Functional Analysis
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 SIAM Journal on Control and Optimization
2 Topology and its Applications
2 Systems & Control Letters
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the Iranian Mathematical Society
2 European Journal of Operational Research
2 Linear Algebra and its Applications
2 Journal of Mathematical Imaging and Vision
2 Computational Optimization and Applications
2 Top
2 Abstract and Applied Analysis
2 Positivity
2 Journal of the Australian Mathematical Society
2 Science China. Mathematics
1 Archive for Rational Mechanics and Analysis
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Kybernetika
1 Mathematika
1 Monatshefte für Mathematik
1 Ricerche di Matematica
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Zeitschrift für Analysis und ihre Anwendungen
1 Operations Research Letters
1 Acta Applicandae Mathematicae
1 Computer Aided Geometric Design
1 Asia-Pacific Journal of Operational Research
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annals of Operations Research
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Cybernetics and Systems Analysis
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Opuscula Mathematica
1 Journal of Applied Analysis
1 Mathematical Methods of Operations Research
1 Revista Matemática Complutense
1 RAIRO. Operations Research
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 4OR
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Algorithms
1 Afrika Matematika
1 Stochastic Systems
1 Journal of Dynamics and Games
1 Journal of Nonlinear and Variational Analysis
1 OJMO. Open Journal of Mathematical Optimization

Citations by Year