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Author ID: volle.michel Recent zbMATH articles by "Volle, Michel"
Published as: Volle, Michel; Volle, M.
all top 5

Serials

7 Journal of Optimization Theory and Applications
7 Journal of Convex Analysis
6 Journal of Mathematical Analysis and Applications
6 Comptes Rendus de l’Académie des Sciences. Série I
6 Set-Valued and Variational Analysis
5 Optimization
4 SIAM Journal on Optimization
3 Journal of Global Optimization
3 Mathematical Programming. Series A. Series B
3 Positivity
3 Pacific Journal of Optimization
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Set-Valued Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Vietnam Journal of Mathematics
2 Journal of Nonlinear and Convex Analysis
2 Optimization Letters
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Séminaire d’Analyse Convexe
1 Bulletin of the Australian Mathematical Society
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales des Sciences Mathématiques du Québec
1 Control and Cybernetics
1 Mathematics of Operations Research
1 Mathematische Operationsforschung und Statistik. Series Optimization
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 RAIRO. Recherche Opérationnelle
1 Ricerche di Matematica
1 SIAM Journal on Control and Optimization
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Revista Matemática Iberoamericana
1 ZOR. Zeitschrift für Operations Research
1 Séminaire d’Analyse Convexe
1 Top
1 Serdica Mathematical Journal
1 Communications on Applied Nonlinear Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Nonconvex Optimization and Its Applications
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 637 times in 358 Documents Cited by Year
On quasi-convex duality. Zbl 0717.90058
Penot, Jean-Paul; Volle, Michel
73
1990
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
44
1995
Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064
Martínez-Legaz, Juan-Enrique; Volle, Michel
40
1999
Conjugaison par tranches. Zbl 0581.49007
Volle, Michel
22
1985
A formula for the set of optimal solutions of a relaxed minimization problem. Applications to subdifferential calculus. Zbl 1219.90184
López, M. A.; Volle, M.
20
2010
Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115
Luc, Dinh The; Phong, Thai Quynh; Volle, Michel
16
2005
Surrogate programming and multipliers in quasi-convex programming. Zbl 1134.49315
Penot, Jean-Paul; Volle, Michel
14
2004
Functional inequalities and theorems of the alternative involving composite functions. Zbl 1298.39024
Dinh, N.; Vallet, G.; Volle, M.
14
2014
Duality for the level sum of quasiconvex functions and applications. Zbl 0904.49023
Volle, M.
13
1998
Concave duality: Application to problems dealing with difference of functions. Zbl 0665.49016
Volle, M.
13
1988
A unified approach to robust Farkas-type results with applications to robust optimization problems. Zbl 1368.49042
Dinh, N.; Mo, T. H.; Vallet, G.; Volle, M.
13
2017
Inversion of real-valued functions and applications. Zbl 0718.49012
Penot, J.-P.; Volle, M.
12
1990
A unifying approach to robust convex infinite optimization duality. Zbl 1373.90101
Dinh, Nguyen; Goberna, Miguel Angel; López, Marco Antonio; Volle, Michel
12
2017
On a convolution operation obtained by adding level sets: Classical and new results. Zbl 0835.90094
Seeger, A.; Volle, M.
11
1995
A stability result in quasi-convex programming. Zbl 0687.90074
Aze, D.; Volle, M.
11
1990
Subdifferential of the upper envelope of convex functions. (Sous-différentiel d’une enveloppe supérieure de fonctions convexes.) Zbl 0792.46029
Volle, Michel
11
1993
Primal attainment in convex infinite optimization duality. Zbl 1327.90205
Goberna, M. A.; López, M. A.; Volle, M.
11
2014
Duality in dc programming. Zbl 0961.90127
Lemaire, B.; Volle, M.
10
1998
Duality principles for optimization problems dealing with the difference of vector-valued convex mappings. Zbl 1041.90068
Volle, M.
10
2002
Convex inequalities without constraint qualification nor closedness condition, and their applications in optimization. Zbl 1231.90381
Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M.
10
2010
Zero duality gap and attainment with possibly non-convex data. Zbl 1344.49041
Ernst, Emil; Volle, Michel
10
2016
Convergence en niveaux et en épigraphes. (Convergences by epigraph and level set methods.). Zbl 0566.49004
Volle, Michel
8
1984
Quasicontinuity and united functions in convex duality theory. Zbl 0894.90120
Moussaoui, M.; Volle, Michel
8
1997
Calculus rules for global approximate minima and applications to approximate subdifferential calculus. Zbl 0809.49015
Volle, M.
8
1994
Équations inf-convolutives et conjugaison de Moreau-Fenchel. Zbl 0760.49013
Mazure, Marie-Laurence; Volle, Michel
8
1991
On strongly convex and paraconvex dualities. Zbl 0701.49038
Penot, J. P.; Volle, M.
8
1990
Functional inequalities in the absence of convexity and lower semicontinuity with applications to optimization. Zbl 1220.90162
Dinh, N.; López, M. A.; Volle, M.
8
2010
On the subdifferential of the supremum of an arbitrary family of extended real-valued functions. Zbl 1215.90050
López, Marco A.; Volle, Michel
8
2011
Zero duality gap for convex programs: a generalization of the Clark-Duffin theorem. Zbl 1274.90260
Ernst, Emil; Volle, Michel
8
2013
The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function. Zbl 1229.90265
Hiriart-Urruty, Jean-Baptiste; López, Marco A.; Volle, Michel
8
2011
Levels sets infimal convolution and level addition. Zbl 0892.90179
Luc, D. T.; Volle, M.
7
1997
Another duality scheme for quasiconvex problems. Zbl 0662.49009
Penot, Jean Paul; Volle, Michel
7
1988
A general formula for the horizon function of a convex composite function. Zbl 1028.90068
Laghdir, Mohamed; Volle, Michel
6
1999
A general duality scheme for nonconvex minimization problems with a strict inequality constraint. Zbl 0934.90058
Lemaire, B.; Volle, M.
6
1998
Dualité de Fenchel et quasi-convexité. (Fenchel duality and quasi- convexity). Zbl 0633.49013
Penot, Jean-Paul; Volle, Michel
6
1987
Conjugaison par tranches et dualité de Toland. (Conjugation by level sets and Toland’s duality). Zbl 0642.49011
Volle, M.
6
1987
Duality methods for the study of Hamilton-Jacobi equations. Zbl 1235.49057
Penot, Jean-Paul; Volle, Michel
6
2007
New glimpses on convex infinite optimization duality. Zbl 1359.90152
Goberna, M. A.; López, M. A.; Volle, M.
6
2015
An approximate Hahn-Banach theorem for positively homogeneous functions. Zbl 1325.46003
Dinh, N.; Ernst, E.; López, M. A.; Volle, M.
6
2015
Duality for the robust sum of functions. Zbl 1476.90346
Dinh, N.; Goberna, M. A.; Volle, Michel
6
2020
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
Convexity and closedness in stable robust duality. Zbl 1440.90086
Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M.
5
2019
Complements on subdifferential calculus. Zbl 1191.90041
Volle, Michel
5
2008
Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems. Zbl 1468.90077
Dinh, Nguyen; Goberna, Miguel A.; López, Marco A.; Volle, Michel
5
2020
Primal-dual optimization conditions for the robust sum of functions with applications. Zbl 1425.90131
Dinh, N.; Goberna, M. A.; Volle, M.
5
2019
Duality for optimization problems with infinite sums. Zbl 1421.90140
Luc, Dinh The; Volle, Michel
5
2019
On the level sum of two convex functions on Banach spaces. Zbl 0876.49011
Traoré, S.; Volle, M.
4
1996
Explicit solutions to Hamilton-Jacobi equations under mild continuity and convexity assumptions. Zbl 0970.49022
Penot, Jean-Paul; Volle, Michel
4
2000
On the subdifferential of an upper envelope of convex functions. Zbl 0888.49014
Volle, M.
4
1994
Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces. Zbl 1245.49027
López, M. A.; Volle, M.
4
2012
A formula on the subdifferential of the deconvolution of convex functions. Zbl 0778.90053
Volle, M.
4
1993
Quasicontinuity and united functions in convex duality theory. (Sur la quasicontinuité et les fonctions unies en dualité convexe.) Zbl 0849.49017
Moussaoui, Mohammed; Volle, Michel
3
1996
Quasiconvex initial conditions in Hamilton-Jacobi equations. (Conditions initiales quasiconvexes dans les équations de Hamilton-Jacobi.) Zbl 0913.70013
Volle, Michel
3
1997
Convex functions with continuous epigraph or continuous level sets. Zbl 0851.90089
Coutat, P.; Volle, M.; Martinez-Legaz, J. E.
3
1996
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
3
1998
Duality for constrained robust sum optimization problems. Zbl 1479.90213
Dinh, N.; Goberna, M. A.; Long, D. H.; Volle, M.
3
2021
On vectorial Hamilton-Jacobi equations. Zbl 1100.35500
Imbert, Cyril; Volle, Michel
3
2002
Modified Lagrangian duality for the supremum of convex functions. Zbl 1474.90330
Goberna, M. A.; López, M. A.; Volle, M.
3
2017
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
3
2012
Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces. Zbl 1323.90078
Vicente-Pérez, José; Volle, Michel
3
2015
Cutting and scanning methods in set-valued analysis. I: An epigraphical and graphical calculus. Zbl 0849.41028
Attouch, H.; Volle, M.
2
1996
Convexity and generalized convexity methods for the study of Hamilton-Jacobi equations. Zbl 0993.49023
Penot, Jean-Paul; Volle, Michel
2
2001
Duality for closed convex functions and evenly convex functions. Zbl 1361.90066
Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J.
2
2015
Duality for extended infinite monotropic optimization problems. Zbl 1478.90125
Luc, Dinh The; Volle, Michel
2
2021
Topological stability results about approximate solutions of parametrized minimization problems. Zbl 0749.49017
Penot, J.-P.; Volle, M.
2
1991
Various continuity properties of the deconvolution (or epigraphical difference). Zbl 0779.49016
Azé, D.; Volle, M.
2
1992
Regularizations in abelian complete ordered groups. Zbl 0479.46003
Volle, Michel
2
1981
Some applications of the Attouch-Brezis condition to closedness criterions, optimization, and duality. Zbl 1267.49003
Volle, Michel
2
1992
Multiapplications duales et problèmes d’optimisation en dualité. Zbl 0528.49010
Volle, Michel
2
1983
On epsilon-stability in optimization. Zbl 1411.90271
Dinh The Luc; Volle, Michel
2
2018
Subdifferentiability and inf-sup theorems. Zbl 0942.49010
Moussaoui, Mohammed; Volle, Michel
1
1999
Epiconvergence of a sequence of level sums of convex functions. (Epiconvergence d’une suite de sommes en niveaux de fonctions convexes.) Zbl 0876.49013
Traore, S.; Volle, M.
1
1996
The use of monotone norms in epigraphical analysis. Zbl 0838.49020
Volle, M.
1
1994
Subdifferentiability, lower semicontinuity and exactness of the level sum of two convex functions on locally convex spaces. Zbl 0845.90102
Traore, S.; Volle, M.
1
1995
Quasiconvex duality for the max of two functions. Zbl 0921.49027
Volle, Michel
1
1997
L’analyse factorielle spherique. Zbl 0474.62056
Domenges, Dominique; Volle, Michel
1
1980
Theorems of the alternative for multivalued mappings and applications to mixed convex \(\backslash\) concave systems of inequalities. Zbl 1229.90130
Volle, Michel
1
2010
A primal–dual operation on sets linked with closed convex relaxation processes. Zbl 1275.26022
Volle, M.
1
2012
The use of the relative interior in integration with nonconvex data. Zbl 1296.26043
López, M. A.; Volle, M.
1
2014
Some formulae of convex and nonconvex duality. (Sur quelques formules de dualité convexe et non convexe.) Zbl 0810.49038
Volle, M.
1
1994
Some remarks on Greenberg-Pierskalla subdifferentiability of quasiconvex functions. Zbl 1453.26009
Volle, M.; Martínez-Legaz, J. E.
1
2020
Sur les applications régularisees à valeurs dans un groupe. Zbl 0529.90096
Volle, Michel
1
1982
When some variational properties force convexity. Zbl 1277.46042
Volle, M.; Hiriart-Urruty, J.-B.; Zălinescu, C.
1
2013
Generalized Courant-Beltrami penalty functions and zero duality gap for conic convex programs. Zbl 1280.49049
Ernst, Emil; Volle, Michel
1
2013
Algebraic approach to duality in optimization and applications. Zbl 1479.90217
Luc, Dinh The; Volle, Michel
1
2021
Level sets relaxation, epigraphical relaxation and conditioning in optimization. Zbl 1327.49023
Guillaume, Sophie; Volle, Michel
1
2015
Duality for constrained robust sum optimization problems. Zbl 1479.90213
Dinh, N.; Goberna, M. A.; Long, D. H.; Volle, M.
3
2021
Duality for extended infinite monotropic optimization problems. Zbl 1478.90125
Luc, Dinh The; Volle, Michel
2
2021
Algebraic approach to duality in optimization and applications. Zbl 1479.90217
Luc, Dinh The; Volle, Michel
1
2021
Duality for the robust sum of functions. Zbl 1476.90346
Dinh, N.; Goberna, M. A.; Volle, Michel
6
2020
Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems. Zbl 1468.90077
Dinh, Nguyen; Goberna, Miguel A.; López, Marco A.; Volle, Michel
5
2020
Some remarks on Greenberg-Pierskalla subdifferentiability of quasiconvex functions. Zbl 1453.26009
Volle, M.; Martínez-Legaz, J. E.
1
2020
Convexity and closedness in stable robust duality. Zbl 1440.90086
Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M.
5
2019
Primal-dual optimization conditions for the robust sum of functions with applications. Zbl 1425.90131
Dinh, N.; Goberna, M. A.; Volle, M.
5
2019
Duality for optimization problems with infinite sums. Zbl 1421.90140
Luc, Dinh The; Volle, Michel
5
2019
On epsilon-stability in optimization. Zbl 1411.90271
Dinh The Luc; Volle, Michel
2
2018
A unified approach to robust Farkas-type results with applications to robust optimization problems. Zbl 1368.49042
Dinh, N.; Mo, T. H.; Vallet, G.; Volle, M.
13
2017
A unifying approach to robust convex infinite optimization duality. Zbl 1373.90101
Dinh, Nguyen; Goberna, Miguel Angel; López, Marco Antonio; Volle, Michel
12
2017
Modified Lagrangian duality for the supremum of convex functions. Zbl 1474.90330
Goberna, M. A.; López, M. A.; Volle, M.
3
2017
Zero duality gap and attainment with possibly non-convex data. Zbl 1344.49041
Ernst, Emil; Volle, Michel
10
2016
New glimpses on convex infinite optimization duality. Zbl 1359.90152
Goberna, M. A.; López, M. A.; Volle, M.
6
2015
An approximate Hahn-Banach theorem for positively homogeneous functions. Zbl 1325.46003
Dinh, N.; Ernst, E.; López, M. A.; Volle, M.
6
2015
Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces. Zbl 1323.90078
Vicente-Pérez, José; Volle, Michel
3
2015
Duality for closed convex functions and evenly convex functions. Zbl 1361.90066
Volle, M.; Martínez-Legaz, J. E.; Vicente-Pérez, J.
2
2015
Level sets relaxation, epigraphical relaxation and conditioning in optimization. Zbl 1327.49023
Guillaume, Sophie; Volle, Michel
1
2015
Functional inequalities and theorems of the alternative involving composite functions. Zbl 1298.39024
Dinh, N.; Vallet, G.; Volle, M.
14
2014
Primal attainment in convex infinite optimization duality. Zbl 1327.90205
Goberna, M. A.; López, M. A.; Volle, M.
11
2014
The use of the relative interior in integration with nonconvex data. Zbl 1296.26043
López, M. A.; Volle, M.
1
2014
Zero duality gap for convex programs: a generalization of the Clark-Duffin theorem. Zbl 1274.90260
Ernst, Emil; Volle, Michel
8
2013
When some variational properties force convexity. Zbl 1277.46042
Volle, M.; Hiriart-Urruty, J.-B.; Zălinescu, C.
1
2013
Generalized Courant-Beltrami penalty functions and zero duality gap for conic convex programs. Zbl 1280.49049
Ernst, Emil; Volle, Michel
1
2013
Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces. Zbl 1245.49027
López, M. A.; Volle, M.
4
2012
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
3
2012
A primal–dual operation on sets linked with closed convex relaxation processes. Zbl 1275.26022
Volle, M.
1
2012
On the subdifferential of the supremum of an arbitrary family of extended real-valued functions. Zbl 1215.90050
López, Marco A.; Volle, Michel
8
2011
The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function. Zbl 1229.90265
Hiriart-Urruty, Jean-Baptiste; López, Marco A.; Volle, Michel
8
2011
A formula for the set of optimal solutions of a relaxed minimization problem. Applications to subdifferential calculus. Zbl 1219.90184
López, M. A.; Volle, M.
20
2010
Convex inequalities without constraint qualification nor closedness condition, and their applications in optimization. Zbl 1231.90381
Dinh, N.; Goberna, M. A.; López, M. A.; Volle, M.
10
2010
Functional inequalities in the absence of convexity and lower semicontinuity with applications to optimization. Zbl 1220.90162
Dinh, N.; López, M. A.; Volle, M.
8
2010
Theorems of the alternative for multivalued mappings and applications to mixed convex \(\backslash\) concave systems of inequalities. Zbl 1229.90130
Volle, Michel
1
2010
Complements on subdifferential calculus. Zbl 1191.90041
Volle, Michel
5
2008
Duality methods for the study of Hamilton-Jacobi equations. Zbl 1235.49057
Penot, Jean-Paul; Volle, Michel
6
2007
Scalarizing functions for generating the weakly efficient solution set in convex multiobjective problems. Zbl 1114.90115
Luc, Dinh The; Phong, Thai Quynh; Volle, Michel
16
2005
Surrogate programming and multipliers in quasi-convex programming. Zbl 1134.49315
Penot, Jean-Paul; Volle, Michel
14
2004
Duality principles for optimization problems dealing with the difference of vector-valued convex mappings. Zbl 1041.90068
Volle, M.
10
2002
On vectorial Hamilton-Jacobi equations. Zbl 1100.35500
Imbert, Cyril; Volle, Michel
3
2002
Duality for d.c. optimization over compact sets. Zbl 1041.90067
Martinez-Legaz, Juan-Enrique; Volle, Michel
5
2001
Convexity and generalized convexity methods for the study of Hamilton-Jacobi equations. Zbl 0993.49023
Penot, Jean-Paul; Volle, Michel
2
2001
Explicit solutions to Hamilton-Jacobi equations under mild continuity and convexity assumptions. Zbl 0970.49022
Penot, Jean-Paul; Volle, Michel
4
2000
Duality in D. C. programming: The case of several D. C. constraints. Zbl 0946.90064
Martínez-Legaz, Juan-Enrique; Volle, Michel
40
1999
A general formula for the horizon function of a convex composite function. Zbl 1028.90068
Laghdir, Mohamed; Volle, Michel
6
1999
Subdifferentiability and inf-sup theorems. Zbl 0942.49010
Moussaoui, Mohammed; Volle, Michel
1
1999
Duality for the level sum of quasiconvex functions and applications. Zbl 0904.49023
Volle, M.
13
1998
Duality in dc programming. Zbl 0961.90127
Lemaire, B.; Volle, M.
10
1998
A general duality scheme for nonconvex minimization problems with a strict inequality constraint. Zbl 0934.90058
Lemaire, B.; Volle, M.
6
1998
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
3
1998
Quasicontinuity and united functions in convex duality theory. Zbl 0894.90120
Moussaoui, M.; Volle, Michel
8
1997
Levels sets infimal convolution and level addition. Zbl 0892.90179
Luc, D. T.; Volle, M.
7
1997
Quasiconvex initial conditions in Hamilton-Jacobi equations. (Conditions initiales quasiconvexes dans les équations de Hamilton-Jacobi.) Zbl 0913.70013
Volle, Michel
3
1997
Quasiconvex duality for the max of two functions. Zbl 0921.49027
Volle, Michel
1
1997
On the level sum of two convex functions on Banach spaces. Zbl 0876.49011
Traoré, S.; Volle, M.
4
1996
Quasicontinuity and united functions in convex duality theory. (Sur la quasicontinuité et les fonctions unies en dualité convexe.) Zbl 0849.49017
Moussaoui, Mohammed; Volle, Michel
3
1996
Convex functions with continuous epigraph or continuous level sets. Zbl 0851.90089
Coutat, P.; Volle, M.; Martinez-Legaz, J. E.
3
1996
Cutting and scanning methods in set-valued analysis. I: An epigraphical and graphical calculus. Zbl 0849.41028
Attouch, H.; Volle, M.
2
1996
Epiconvergence of a sequence of level sums of convex functions. (Epiconvergence d’une suite de sommes en niveaux de fonctions convexes.) Zbl 0876.49013
Traore, S.; Volle, M.
1
1996
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
44
1995
On a convolution operation obtained by adding level sets: Classical and new results. Zbl 0835.90094
Seeger, A.; Volle, M.
11
1995
Subdifferentiability, lower semicontinuity and exactness of the level sum of two convex functions on locally convex spaces. Zbl 0845.90102
Traore, S.; Volle, M.
1
1995
Calculus rules for global approximate minima and applications to approximate subdifferential calculus. Zbl 0809.49015
Volle, M.
8
1994
On the subdifferential of an upper envelope of convex functions. Zbl 0888.49014
Volle, M.
4
1994
The use of monotone norms in epigraphical analysis. Zbl 0838.49020
Volle, M.
1
1994
Some formulae of convex and nonconvex duality. (Sur quelques formules de dualité convexe et non convexe.) Zbl 0810.49038
Volle, M.
1
1994
Subdifferential of the upper envelope of convex functions. (Sous-différentiel d’une enveloppe supérieure de fonctions convexes.) Zbl 0792.46029
Volle, Michel
11
1993
A formula on the subdifferential of the deconvolution of convex functions. Zbl 0778.90053
Volle, M.
4
1993
Various continuity properties of the deconvolution (or epigraphical difference). Zbl 0779.49016
Azé, D.; Volle, M.
2
1992
Some applications of the Attouch-Brezis condition to closedness criterions, optimization, and duality. Zbl 1267.49003
Volle, Michel
2
1992
Équations inf-convolutives et conjugaison de Moreau-Fenchel. Zbl 0760.49013
Mazure, Marie-Laurence; Volle, Michel
8
1991
Topological stability results about approximate solutions of parametrized minimization problems. Zbl 0749.49017
Penot, J.-P.; Volle, M.
2
1991
On quasi-convex duality. Zbl 0717.90058
Penot, Jean-Paul; Volle, Michel
73
1990
Inversion of real-valued functions and applications. Zbl 0718.49012
Penot, J.-P.; Volle, M.
12
1990
A stability result in quasi-convex programming. Zbl 0687.90074
Aze, D.; Volle, M.
11
1990
On strongly convex and paraconvex dualities. Zbl 0701.49038
Penot, J. P.; Volle, M.
8
1990
Concave duality: Application to problems dealing with difference of functions. Zbl 0665.49016
Volle, M.
13
1988
Another duality scheme for quasiconvex problems. Zbl 0662.49009
Penot, Jean Paul; Volle, Michel
7
1988
Dualité de Fenchel et quasi-convexité. (Fenchel duality and quasi- convexity). Zbl 0633.49013
Penot, Jean-Paul; Volle, Michel
6
1987
Conjugaison par tranches et dualité de Toland. (Conjugation by level sets and Toland’s duality). Zbl 0642.49011
Volle, M.
6
1987
Conjugaison par tranches. Zbl 0581.49007
Volle, Michel
22
1985
Convergence en niveaux et en épigraphes. (Convergences by epigraph and level set methods.). Zbl 0566.49004
Volle, Michel
8
1984
Multiapplications duales et problèmes d’optimisation en dualité. Zbl 0528.49010
Volle, Michel
2
1983
Sur les applications régularisees à valeurs dans un groupe. Zbl 0529.90096
Volle, Michel
1
1982
Regularizations in abelian complete ordered groups. Zbl 0479.46003
Volle, Michel
2
1981
L’analyse factorielle spherique. Zbl 0474.62056
Domenges, Dominique; Volle, Michel
1
1980
all top 5

Cited by 375 Authors

44 Volle, Michel
30 Penot, Jean-Paul
27 López-Cerdá, Marco Antonio
21 Goberna, Miguel Angel
19 Hantoute, Abderrahim
16 Martínez-Legaz, Juan-Enrique
15 Correa, Rafael Augusto Couceiro
15 Kuroiwa, Daishi
15 Suzuki, Satoshi
9 Dinh The Luc
9 Fang, Donghui
9 Long, Dang Hai
8 Boţ, Radu Ioan
8 Théra, Michel A.
7 Sun, Xiangkai
7 Wanka, Gert
6 Singer, Ivan
6 Thibault, Lionel
5 Barron, Emmanuel Nicholas
5 Ernst, Emil O.
5 Lee, Gue Myung
5 Pérez-Aros, Pedro
5 Yao, Jen-Chih
4 Azé, Dominique
4 Flores-Bazán, Fabián
4 Frittelli, Marco
4 Grad, Sorin-Mihai
4 Hiriart-Urruty, Jean-Baptiste
4 Jeyakumar, Vaithilingam
4 Jourani, Abderrahim
4 Rosazza Gianin, Emanuela
4 Rubinov, Aleksandr Moiseevich
4 Soleimani-damaneh, Majid
4 Vicente-Pérez, José
3 Aboussoror, Abdelmalek
3 Gadhi, Nazih Abderrazzak
3 Ramos, Yboon García
3 Ioffe, Alexander Davidovich
3 Jensen, Robert R.
3 Laghdir, Mohamed
3 Long, Xianjun
3 Maggis, Marco
3 Mo, Tran Hong
3 Ridolfi, Andrea B.
3 Rodríguez, Margarita M. L.
3 Vallet, Guy
3 Vera de Serio, Virginia N.
3 Wang, Xianyun
3 Zeng, Jing
2 Adly, Samir
2 Attouch, Hedy
2 Bednarczuk, Ewa M.
2 Bocea, Marian F.
2 Burachik, Regina Sandra
2 Cerreia-Vioglio, Simone
2 Cheng, Cao-Zong
2 Daniilidis, Aris
2 Dempe, Stephan
2 Drapeau, Samuel
2 Fajardo, María D.
2 Ginchev, Ivan G.
2 Gutiérrez, César
2 Hamdaoui, Khadija
2 Hamel, Andreas H.
2 Harada, Ryohei
2 Hodrea, Ioan Bogdan
2 Huynh Van Ngai
2 Jensen, Reed
2 Kanzi, Nader
2 Kim, Do Sang
2 Kim, Nguyen Thi Bach
2 Kogut, Peter I.
2 Kruger, Alexander Y.
2 Lee, Jae Hyoung
2 Li, Chong
2 Li, Minghua
2 Li, Shengjie
2 Lignola, Maria Beatrice
2 Liu, Wenxiong
2 Löhne, Andreas
2 Maccheroni, Fabio
2 Manzo, Rosanna
2 Marinacci, Massimo
2 Mastrogiacomo, Elisa
2 Metrane, Abdelmoutalib
2 Mohebi, Hossein
2 Montrucchio, Luigi
2 Morgan, Jacqueline
2 Moussaoui, Mohammed Amine
2 Ng, Kung-Fu
2 Novo-Sanjurjo, Vicente
2 Parra, Juan
2 Qin, Zhenhua
2 Revalski, Julian Petrov
2 Ricceri, Biagio
2 Rojas-Medar, Marko Antonio
2 Román-Flores, Heriberto E.
2 Seeger, Alberto
2 Teo, Kok Lay
2 Thang, Tran Ngoc
...and 275 more Authors
all top 5

Cited in 86 Serials

44 Optimization
38 Journal of Optimization Theory and Applications
30 Journal of Global Optimization
19 Journal of Mathematical Analysis and Applications
17 Set-Valued and Variational Analysis
14 Mathematical Programming. Series A. Series B
13 SIAM Journal on Optimization
13 Optimization Letters
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Vietnam Journal of Mathematics
8 Transactions of the American Mathematical Society
7 Journal of Convex Analysis
5 Journal of Functional Analysis
5 Numerical Functional Analysis and Optimization
5 European Journal of Operational Research
5 Top
5 Nonlinear Analysis. Theory, Methods & Applications
4 Set-Valued Analysis
4 Positivity
4 Journal of Industrial and Management Optimization
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Optimization
3 Journal of Inequalities and Applications
3 Mathematics and Financial Economics
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Archiv der Mathematik
2 Journal of Computational and Applied Mathematics
2 Journal of Mathematical Economics
2 Proceedings of the American Mathematical Society
2 Bulletin of the Iranian Mathematical Society
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Computational Optimization and Applications
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Mathematical Methods of Operations Research
2 RAIRO. Operations Research
2 Journal of Applied Mathematics
2 Fixed Point Theory and Applications
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Minimax Theory and its Applications
2 Journal of Nonlinear and Variational Analysis
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Acta Mathematica Vietnamica
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Approximation Theory
1 Journal of Economic Theory
1 Journal of Soviet Mathematics
1 Le Matematiche
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Mathematika
1 Quarterly of Applied Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Topology and its Applications
1 Operations Research Letters
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Annals of Operations Research
1 Neural Computation
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 ZOR. Zeitschrift für Operations Research
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Cybernetics and Systems Analysis
1 Turkish Journal of Mathematics
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Taiwanese Journal of Mathematics
1 International Journal of Theoretical and Applied Finance
1 Journal of Dynamical and Control Systems
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Functional Analysis and Applications
1 Applied Mathematics E-Notes
1 4OR
1 Hacettepe Journal of Mathematics and Statistics
1 Computational Management Science
1 Cubo
1 Stochastics
1 AIMS Mathematics

Citations by Year