## Penot, Jean-Paul

Compute Distance To:
 Author ID: penot.jean-paul Published as: Penot, Jean-Paul; Penot, J.-P.; Penot, J. P.; Penot, Jean Paul more...less External Links: MGP · ORCID · ResearchGate · dblp · GND · IdRef · theses.fr
 Documents Indexed: 238 Publications since 1967, including 2 Books 3 Contributions as Editor Co-Authors: 48 Co-Authors with 101 Joint Publications 1,066 Co-Co-Authors
all top 5

### Co-Authors

 140 single-authored 11 Zălinescu, Constantin 10 Volle, Michel 8 Huynh Van Ngai 7 Azé, Dominique 7 Théra, Michel A. 4 Linh, Nguyen Thi Hong 4 Michel, Philippe 4 Ratsimahalo, Robert 3 Arino, Ovide 3 Contesse, Luis 3 Gautier, Serge 3 Ioffe, Alexander Davidovich 2 Bednarczuk, Ewa M. 2 Bougeard, Mireille Ludivine 2 Chou, Chin-Cheng 2 Cominetti, Roberto 2 Daniilidis, Aris 2 Delode, Claude 2 Hadjisavvas, Nicolas 2 Hiriart-Urruty, Jean-Baptiste 2 Huang, Liren 2 Jofré, Alejandro 2 Li, Shengjie 2 Malivert, Christian 2 Martínez-Legaz, Juan-Enrique 2 Pham Huu Sach 2 Quang, Pham Hong 2 Sterna-Karwat, Alicja 1 Agadi, Ali 1 Amahroq, Tijani 1 Attouch, Hedy 1 Bachir, Mohammed 1 Borwein, Jonathan Michael 1 Caprari, Elisa 1 Correa, Rafael 1 Dinh The Luc 1 Georgiev, Pando Grigorov 1 Giner, Emmanuel 1 Isac, George 1 Khaladi, Mohamed 1 Meng, Kaiwen 1 Nachi, Khadra 1 Pommellet, Alain 1 Riahi, Hassan 1 Rubinov, Aleksandr Moiseevich 1 Syam, Aicha 1 Terpolilli, Peppino 1 Xue, Xiaowei
all top 5

### Serials

 15 Optimization 14 Journal of Optimization Theory and Applications 14 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 9 Journal of Mathematical Analysis and Applications 9 Set-Valued Analysis 7 Journal of Convex Analysis 7 Nonlinear Analysis. Theory, Methods & Applications 6 Journal of Global Optimization 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Pacific Journal of Optimization 5 Set-Valued and Variational Analysis 4 Numerical Functional Analysis and Optimization 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Control and Optimization 4 Mathematical Programming. Series A. Series B 4 SIAM Journal on Optimization 4 Journal of Nonlinear and Convex Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Approximation Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Optimization Letters 2 Studia Mathematica 2 Acta Mathematica Vietnamica 2 Applied Mathematics and Optimization 2 Control and Cybernetics 2 Vietnam Journal of Mathematics 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Gazette des Mathématiciens 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematics of Operations Research 1 Mathematical Programming Study 1 Mathematica Scandinavica 1 Utilitas Mathematica 1 Southeast Asian Bulletin of Mathematics 1 PLISKA. Studia Mathematica Bulgarica 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Revista de Matemáticas Aplicadas 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 ZOR. Zeitschrift für Operations Research 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Optimization and Applications 1 Bulletin des Sciences Mathématiques 1 Serdica Mathematical Journal 1 Communications on Applied Nonlinear Analysis 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 RAIRO. Operations Research 1 The ANZIAM Journal 1 Nonlinear Dynamics and Systems Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Operations-Research-Verfahren 1 Graduate Texts in Mathematics 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Economics and Mathematical Systems 1 Matapli 1 Universitext
all top 5

### Fields

 149 Calculus of variations and optimal control; optimization (49-XX) 94 Operations research, mathematical programming (90-XX) 57 Functional analysis (46-XX) 47 Real functions (26-XX) 36 Operator theory (47-XX) 30 General topology (54-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Convex and discrete geometry (52-XX) 8 Numerical analysis (65-XX) 6 Partial differential equations (35-XX) 5 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 2 Systems theory; control (93-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

211 Publications have been cited 2,461 times in 1,495 Documents Cited by Year
Calculus without derivatives. Zbl 1264.49014
Penot, Jean-Paul
2013
Metric regularity, openness and Lipschitzian behavior of multifunctions. Zbl 0687.54015
Penot, Jean-Paul
1989
Second-order conditions for optimization problems with constraints. Zbl 0917.49023
Penot, Jean-Paul
1999
Differentiability of relations and differential stability of perturbed optimization problems. Zbl 0552.58006
Penot, Jean-Paul
1984
On quasi-convex duality. Zbl 0717.90058
Penot, Jean-Paul; Volle, Michel
1990
Calcul sous-différentiel pour des fonctions lipschitziennes et non lipschitziennes. Zbl 0567.49008
Michel, Philippe; Penot, Jean-Paul
1984
A fixed point theorem for sequentially continuous mappings with application to ordinary differential equations. Zbl 0599.34008
Arino, O.; Gautier, S.; Penot, J. P.
1984
Calcul sous-différentiel et optimisation. Zbl 0404.90078
Penot, Jean-Paul
1978
The drop theorem, the petal theorem and Ekeland’s variational principle. Zbl 0612.49011
Penot, Jean-Paul
1986
A generalized derivative for calm and stable functions. Zbl 0787.49007
Michel, Philippe; Penot, Jean-Paul
1992
On regularity conditions in mathematical programming. Zbl 0493.90076
Penot, Jean-Paul
1982
Semi-continuous mappings in general topology. Zbl 0465.54019
Penot, J. P.; Thera, M.
1982
The relevance of convex analysis for the study of monotonicity. Zbl 1078.47008
Penot, Jean-Paul
2004
What is quasiconvex analysis? Zbl 0963.49013
Penot, Jean-Paul
2000
Operations on convergent families of sets and functions. Zbl 0719.49013
Azé, D.; Penot, J.-P.
1990
Generalized convexity of functions and generalized monotonicity of set-valued maps. Zbl 0886.90177
Penot, J.-P.; Quang, P. H.
1997
Metrically well-set minimization problems. Zbl 0762.90073
Bednarczuk, Ewa; Penot, Jean-Paul
1992
Optimality conditions in mathematical programming and composite optimization. Zbl 0828.90137
Penot, Jean-Paul
1994
Convergence of asymptotic directions. Zbl 0974.54003
Dinh The Luc; Penot, Jean-Paul
2001
A characterization of tangential regularity. Zbl 0472.58010
Penot, Jean Paul
1981
Characterization of solution sets of quasiconvex programs. Zbl 1043.90071
Penot, J. P.
2003
Compact nets, filters, and relations. Zbl 0537.54002
Penot, Jean-Paul
1983
Fixed point theorems without convexity. Zbl 0454.47044
Penot, Jean-Paul
1979
Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions. Zbl 0626.90083
Penot, Jean-Paul; Sterna-Karwat, Alicja
1986
The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity. Zbl 0774.54008
Penot, Jean-Paul
1991
Conjugate convex operators. Zbl 0588.46027
Borwein, J. M.; Penot, J. P.; Thera, M.
1984
Compactness properties, openness criteria and coderivatives. Zbl 0932.49019
Penot, Jean-Paul
1998
Approximation and decomposition properties of some classes of locally d.c. functions. Zbl 0666.49005
Penot, J.-P.; Bougeard, M. L.
1988
Are generalized derivatives useful for generalized convex functions? Zbl 0957.49013
Penot, Jean-Paul
1998
Calculus rules for derivatives of multimaps. Zbl 1173.54008
Li, S. J.; Meng, K. W.; Penot, J.-P.
2009
Preservation of persistence and stability under intersections and operations. I: Persistence. Zbl 0798.49034
Penot, J.-P.
1993
Some problems about the representation of monotone operators by convex functions. Zbl 1091.47042
Penot, Jean-Paul; Zălinescu, Constantin
2005
Codifferential calculus. Zbl 1262.47074
Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei
2011
Continuity of the Fenchel correspondence and continuity of polarities. Zbl 0772.46044
Contesse, L.; Penot, J.-P.
1991
The directional subdifferential of the difference of two convex functions. Zbl 1223.26030
Penot, Jean-Paul
2011
Optimality conditions for quasiconvex programs. Zbl 1165.90679
Linh, Nguyen Thi Hong; Penot, Jean-Paul
2006
Approximately convex functions and approximately monotonic operators. Zbl 1113.26011
Ngai, Huynh Van; Penot, Jean-Paul
2007
Subdifferential calculus without qualification assumptions. Zbl 0874.49016
Penot, Jean-Paul
1996
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
2008
Towards minimal assumptions for the infimal convolution regularization. Zbl 0759.49003
Bougeard, Mireille; Penot, Jean-Paul; Pommellet, Alain
1991
On the mean value theorem. Zbl 0661.49008
Penot, J.-P.
1988
Error bounds, calmness and their applications in nonsmooth analysis. Zbl 1222.49022
Penot, Jean-Paul
2010
Surrogate programming and multipliers in quasi-convex programming. Zbl 1134.49315
Penot, Jean-Paul; Volle, Michel
2004
Elements of quasiconvex subdifferential calculus. Zbl 0989.49019
Penot, Jean-Paul; Zălinescu, Constantin
2000
Uniformly convex and uniformly smooth convex functions. Zbl 0870.49010
Azé, Dominique; Penot, Jean-Paul
1995
Differentiability properties of optimal value functions. Zbl 1078.49016
Penot, Jean-Paul
2004
Sous-différentiels de fonctions numériques non convexes. Zbl 0318.46055
Penot, Jean-Paul
1974
Generalized monotonicity of subdifferentials and generalized convexity. Zbl 0899.49007
Penot, J. P.; Sach, P. H.
1997
Characterizations of generalized convexities via generalized directional derivatives. Zbl 0916.49015
Pham Huu Sach; Penot, Jean-Paul
1998
Characterizations of metric projections in Banach spaces and applications. Zbl 1030.90136
Penot, Jean-Paul; Ratsimahalo, Robert
1998
Lower subdifferentiability and integration. Zbl 1009.47039
Bachir, M.; Daniilidis, A.; Penot, J.-P.
2002
Cooperative behavior of functions, relations and sets. Zbl 0937.49008
Penot, Jean-Paul
1998
Paraconvex functions and paraconvex sets. Zbl 1181.49014
Huynh Van Ngai; Penot, Jean-Paul
2008
On the Yosida approximation of operators. Zbl 1001.47031
Penot, Jean-Paul; Ratsimahalo, Robert
2001
Limiting subhessians, limiting subjets and their calculus. Zbl 0884.49012
Ioffe, Alexander D.; Penot, Jean-Paul
1997
Sur le théorème de Frobenius. Zbl 0197.41601
Penot, Jean-Paul
1970
A fixed-point theorem for asymptotically contractive mappings. Zbl 1035.47043
Penot, Jean-Paul
2003
Continuity of usual operations and variational convergences. Zbl 1055.49011
Penot, Jean-Paul; Zălinescu, Constantin
2003
Inversion of real-valued functions and applications. Zbl 0718.49012
Penot, J.-P.; Volle, M.
1990
Duality for radiant and shady programs. Zbl 0892.90165
Penot, J.-P.
1997
Inversion of multifunctions and differential inclusions. Zbl 1158.47316
Nachi, Khadra; Penot, Jean-Paul
2005
Duality for anticonvex programs. Zbl 1033.90149
Penot, Jean-Paul
2001
Regularization by erasement. Zbl 1148.46044
Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul
2006
Well-behaviour, well-posedness and nonsmooth analysis. Zbl 0946.49019
Penot, J. P.
1998
Favorable classes of mappings and multimappings in nonlinear analysis and optimization. Zbl 0876.49016
Penot, Jean-Paul
1996
Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings. Zbl 0874.49018
Ioffe, Alexander D.; Penot, Jean-Paul
1996
A representation of maximal monotone operators by closed convex functions and its impact on calculus rules. Zbl 1045.47042
Penot, Jean-Paul
2004
A new constraint qualification condition. Zbl 0562.90078
Penot, J. P.
1986
Analysis. From concepts to applications. Zbl 1366.26002
Penot, Jean-Paul
2016
Open mappings theorems and linearization stability. Zbl 0548.65045
Penot, Jean-Paul
1985
Semismoothness and directional subconvexity of functions. Zbl 1181.49015
Huynh Van Ngai; Penot, Jean-Paul
2007
Recent advances on second-order optimality conditions. Zbl 0994.49016
Penot, Jean-Paul
2000
Generalized convexity in the light of nonsmoooth analysis. Zbl 0849.49015
Penot, Jean-Paul
1995
Autoconjugate functions and representations of monotone operators. Zbl 1044.47040
Penot, Jean-Paul
2003
Augmented Lagrangians, duality and growth conditions. Zbl 1030.49035
Penot, Jean-Paul
2002
Calmness and stability properties of marginal and performance functions. Zbl 1081.49015
Penot, Jean-Paul
2004
Multipliers and generalized derivatives of performance functions. Zbl 0886.90180
Penot, J.-P.
1997
Noncoercive problems and asymptotic conditions. Zbl 1115.35013
Penot, Jean-Paul
2006
Calcul différentiel dans les espaces vectoriels topologiques. Zbl 0255.26022
Penot, Jean-Paul
1973
Topologies and convergences on the space of convex functions. Zbl 0797.46008
Penot, Jean-Paul
1992
Cônes tangent et singularités. (Tangent cones and singularities). Zbl 0556.46026
Penot, Jean-Paul; Terpolilli, Peppino
1983
Integration of multivalued operators and cyclic submonotonicity. Zbl 1038.49026
Daniilidis, Aris; Georgiev, Pando; Penot, Jean-Paul
2003
Conditioning convex and nonconvex problems. Zbl 0903.49015
Penot, J.-P.
1996
Glimpses upon quasiconvex analysis. Zbl 1228.26019
Penot, Jean-Paul
2007
The bearing of duality on microeconomics. Zbl 1151.91430
Penot, Jean-Paul
2005
On strongly convex and paraconvex dualities. Zbl 0701.49038
Penot, J. P.; Volle, M.
1990
Mean-value theorem with small subdifferentials. Zbl 0891.49009
Penot, J. P.
1997
On the minimization of difference functions. Zbl 0909.90244
Penot, Jean-Paul
1998
Proximal mappings. Zbl 0916.46032
Penot, Jean-Paul
1998
Another duality scheme for quasiconvex problems. Zbl 0662.49009
Penot, Jean Paul; Volle, Michel
1988
Softness, sleekness and regularity properties in nonsmooth analysis. Zbl 1336.49020
Penot, Jean-Paul
2008
Second-order moderate derivatives. Zbl 0810.49017
Michel, Philippe; Penot, Jean-Paul
1994
Miscellaneous incidences of convergence theories in optimization and nonlinear analysis. II: Applications in nonsmooth analysis. Zbl 0955.49012
Penot, Jean-Paul
1995
Polarite des applications convexes à valeurs vectorielles. Zbl 0398.46010
Penot, Jean-Paul; Thera, Michel
1979
Lagrangian approach to quasiconvex programing. Zbl 1043.90072
Penot, J. P.
2003
On the convergence of maximal monotone operators. Zbl 1099.47042
Penot, Jean-Paul; Zalinescu, Constantin
2006
Tangentially ds functions. Zbl 1127.26004
Caprari, Elisa; Penot, Jean-Paul
2007
Unilateral analysis and duality. Zbl 1136.90502
Penot, Jean-Paul
2005
Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints. Zbl 0943.47036
Azé, Dominique; Chou, Chin Cheng; Penot, Jean-Paul
1998
On the positions of the notions of well-posed minimization problems. Zbl 0764.49015
Bednarczuk, Ewa; Penot, Jean-Paul
1992
Error bounds and multipliers in constrained optimization problems with tolerance. Zbl 1410.49013
Penot, Jean-Paul
2019
Subdifferentiation of integral functionals. Zbl 1392.49017
Giner, Emmanuel; Penot, Jean-Paul
2018
Higher-order optimality conditions and higher-order tangent sets. Zbl 1381.49024
Penot, Jean-Paul
2017
Least squares solutions of linear inequality systems: a Pedestrian approach. Zbl 1387.90185
Contesse, Luis; Hiriart-Urruty, Jean-Baptiste; Penot, Jean-Paul
2017
Analysis. From concepts to applications. Zbl 1366.26002
Penot, Jean-Paul
2016
Subdifferentiation of regularized functions. Zbl 1334.49053
Van Ngai, Huynh; Penot, Jean-Paul
2016
On the relations between some second-order derivatives. Zbl 1353.90177
Penot, Jean-Paul
2016
Conjugacies adapted to lower semicontinuous functions. Zbl 1311.49086
Penot, Jean-Paul
2015
Projective dualities for quasiconvex problems. Zbl 1342.90190
Penot, Jean-Paul
2015
Revisiting the problem of integrability in utility theory. Zbl 1338.91087
Hadjisavvas, Nicolas; Penot, Jean-Paul
2015
Directionally limiting subdifferentials and second-order optimality conditions. Zbl 1320.90084
Penot, Jean-Paul
2014
A note on the connection between Chaney’s derivatives and epi-derivatives. Zbl 1303.90123
Huang, Liren; Penot, Jean-Paul
2014
Some properties of the demand correspondence in the consumer theory. Zbl 1310.91091
Penot, Jean-Paul
2014
Optimality conditions in semidefinite programming. Zbl 1295.90042
Penot, Jean-Paul
2014
Conciliating generalized derivatives. Zbl 1316.49020
Penot, Jean-Paul
2014
Calculus without derivatives. Zbl 1264.49014
Penot, Jean-Paul
2013
Variational analysis for the consumer theory. Zbl 1288.91134
Penot, Jean-Paul
2013
Towards a new era in subdifferential analysis? Zbl 1290.49029
Penot, Jean-Paul
2013
Generalized convex functions and generalized differentials. Zbl 1302.26009
Linh, Nguyen Thi Hong; Penot, Jean-Paul
2013
Codifferential calculus. Zbl 1262.47074
Li, Shengjie; Penot, Jean-Paul; Xue, Xiaowei
2011
The directional subdifferential of the difference of two convex functions. Zbl 1223.26030
Penot, Jean-Paul
2011
Image space approach and subdifferentials of integral functionals. Zbl 1217.49018
Penot, Jean-Paul
2011
Error bounds, calmness and their applications in nonsmooth analysis. Zbl 1222.49022
Penot, Jean-Paul
2010
Penot, Jean-Paul
2010
Are dualities appropriate for duality theories in optimization? Zbl 1195.49045
Penot, Jean-Paul
2010
A short proof of the separable reduction theorem. Zbl 1226.46014
Penot, Jean-Paul
2010
Calculus rules for derivatives of multimaps. Zbl 1173.54008
Li, S. J.; Meng, K. W.; Penot, J.-P.
2009
Convex analysis can be helpful for the asymptotic analysis of monotone operators. Asymptotic analysis of monotone operators. Zbl 1156.47049
Penot, J. P.; Zălinescu, C.
2009
Ekeland duality as a paradigm. Zbl 1248.49048
Penot, Jean-Paul
2009
Positive sets, conservative sets and dissipative sets. Zbl 1185.47053
Penot, Jean-Paul
2009
On the subdifferentiability of the difference of two functions and local minimization. Zbl 1165.26307
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha
2008
Paraconvex functions and paraconvex sets. Zbl 1181.49014
Huynh Van Ngai; Penot, Jean-Paul
2008
Softness, sleekness and regularity properties in nonsmooth analysis. Zbl 1336.49020
Penot, Jean-Paul
2008
Gap continuity of multimaps. Zbl 1173.54009
Penot, Jean-Paul
2008
Critical duality. Zbl 1295.49023
Penot, Jean-Paul
2008
Generalized affine maps and generalized convex functions. Zbl 1161.26007
Hong Linh, Nguyen Thi; Penot, Jean-Paul
2008
Natural closures, natural compositions and natural sums of monotone operators. Zbl 1147.47037
Penot, Jean-Paul
2008
Approximately convex functions and approximately monotonic operators. Zbl 1113.26011
Ngai, Huynh Van; Penot, Jean-Paul
2007
Semismoothness and directional subconvexity of functions. Zbl 1181.49015
Huynh Van Ngai; Penot, Jean-Paul
2007
Glimpses upon quasiconvex analysis. Zbl 1228.26019
Penot, Jean-Paul
2007
Tangentially ds functions. Zbl 1127.26004
Caprari, Elisa; Penot, Jean-Paul
2007
Duality methods for the study of Hamilton-Jacobi equations. Zbl 1235.49057
Penot, Jean-Paul; Volle, Michel
2007
Infinitesimal calculus in metric spaces. Zbl 1134.51010
Penot, Jean-Paul
2007
Subdifferentials of distance functions, approximations and enlargements. Zbl 1113.49019
Penot, Jean-Paul; Ratsimahalo, Robert
2007
Approximately convex sets. Zbl 1181.49016
Huynh Van Ngai; Penot, Jean-Paul
2007
Rambling through local versions of generalized convex functions and generalized monotone operators. Zbl 1123.26015
Ngai, Huynh Van; Penot, Jean-Paul
2007
Monotonicity and duality. Zbl 1132.49010
Penot, Jean-Paul
2007
Optimality conditions for quasiconvex programs. Zbl 1165.90679
Linh, Nguyen Thi Hong; Penot, Jean-Paul
2006
Regularization by erasement. Zbl 1148.46044
Martínez-Legaz, Juan-Enrique; Penot, Jean-Paul
2006
Noncoercive problems and asymptotic conditions. Zbl 1115.35013
Penot, Jean-Paul
2006
On the convergence of maximal monotone operators. Zbl 1099.47042
Penot, Jean-Paul; Zalinescu, Constantin
2006
On the dependence of fixed point sets of pseudo-contractive multifunctions. Application to differential inclusions. Zbl 1147.34309
Azé, D.; Penot, J.-P.
2006
Some problems about the representation of monotone operators by convex functions. Zbl 1091.47042
Penot, Jean-Paul; Zălinescu, Constantin
2005
Inversion of multifunctions and differential inclusions. Zbl 1158.47316
Nachi, Khadra; Penot, Jean-Paul
2005
The bearing of duality on microeconomics. Zbl 1151.91430
Penot, Jean-Paul
2005
Unilateral analysis and duality. Zbl 1136.90502
Penot, Jean-Paul
2005
Bounded (Hausdorff) convergence: basic facts and applications. Zbl 1113.49016
Penot, Jean-Paul; Zălinescu, Constantin
2005
Multipliers and general Lagrangians. Zbl 1080.90085
Penot, Jean-Paul; Rubinov, Alexander M.
2005
Continuity properties of projection operators. Zbl 1101.46050
Penot, Jean-Paul
2005
The Legendre transform of correspondences. Zbl 1106.49028
Penot, Jean-Paul
2005
A comparative study of various notions of approximation of sets. Zbl 1068.41039
Agadi, Ali; Penot, Jean-Paul
2005
The use of nonsmooth analysis and of duality methods for the study of Hamilton-Jacobi equations. Zbl 1106.49029
Penot, Jean-Paul
2005
The relevance of convex analysis for the study of monotonicity. Zbl 1078.47008
Penot, Jean-Paul
2004
Surrogate programming and multipliers in quasi-convex programming. Zbl 1134.49315
Penot, Jean-Paul; Volle, Michel
2004
Differentiability properties of optimal value functions. Zbl 1078.49016
Penot, Jean-Paul
2004
A representation of maximal monotone operators by closed convex functions and its impact on calculus rules. Zbl 1045.47042
Penot, Jean-Paul
2004
Calmness and stability properties of marginal and performance functions. Zbl 1081.49015
Penot, Jean-Paul
2004
Continuity of the Legendre-Fenchel transform for some variational convergences. Zbl 1153.49310
Penot, Jean-Paul; Zălinescu, Constantin
2004
Bounded convergence for perturbed minimization problems. Zbl 1153.49316
Penot, Jean-Paul; Zălinescu, Constantin
2004
Characterization of solution sets of quasiconvex programs. Zbl 1043.90071
Penot, J. P.
2003
A fixed-point theorem for asymptotically contractive mappings. Zbl 1035.47043
Penot, Jean-Paul
2003
Continuity of usual operations and variational convergences. Zbl 1055.49011
Penot, Jean-Paul; Zălinescu, Constantin
2003
Autoconjugate functions and representations of monotone operators. Zbl 1044.47040
Penot, Jean-Paul
2003
Integration of multivalued operators and cyclic submonotonicity. Zbl 1038.49026
Daniilidis, Aris; Georgiev, Pando; Penot, Jean-Paul
2003
Lagrangian approach to quasiconvex programing. Zbl 1043.90072
Penot, J. P.
2003
A metric approach to asymptotic analysis. Zbl 1038.49025
Penot, Jean-Paul
2003
Is convexity useful for the study of monotonicity? Zbl 1063.47044
Penot, Jean-Paul
2003
Rotundity, smoothness and duality. Zbl 1166.49302
Penot, Jean-Paul
2003
Lower subdifferentiability and integration. Zbl 1009.47039
Bachir, M.; Daniilidis, A.; Penot, J.-P.
2002
Augmented Lagrangians, duality and growth conditions. Zbl 1030.49035
Penot, Jean-Paul
2002
On the convergence of descent algorithms. Zbl 1028.90085
Penot, Jean-Paul
2002
The compatibility with order of some subdifferentials. Zbl 1011.49012
Penot, Jean-Paul
2002
A duality for starshaped functions. Zbl 1021.46007
Penot, Jean-Paul
2002
Convergence of asymptotic directions. Zbl 0974.54003
Dinh The Luc; Penot, Jean-Paul
2001
On the Yosida approximation of operators. Zbl 1001.47031
Penot, Jean-Paul; Ratsimahalo, Robert
2001
Duality for anticonvex programs. Zbl 1033.90149
Penot, Jean-Paul
2001
Genericity of well-posedness, perturbations and smooth variational principles. Zbl 0990.49017
Penot, Jean-Paul
2001
Variational subdifferential for quasiconvex functions. Zbl 1014.46047
Penot, J. P.
2001
Convexity and generalized convexity methods for the study of Hamilton-Jacobi equations. Zbl 0993.49023
Penot, Jean-Paul; Volle, Michel
2001
Generalized convexity and generalized monotonicity. Proceedings of the 6th international symposium, Samos, Greece, September 1999. Zbl 0961.00019
2001
Approximation of functions and sets. Zbl 1008.49011
Penot, Jean-Paul; Zălinescu, Constantin
2001
What is quasiconvex analysis? Zbl 0963.49013
Penot, Jean-Paul
2000
Elements of quasiconvex subdifferential calculus. Zbl 0989.49019
Penot, Jean-Paul; Zălinescu, Constantin
2000
Recent advances on second-order optimality conditions. Zbl 0994.49016
Penot, Jean-Paul
2000
On minimizing and critical sequences in nonsmooth optimization. Zbl 1042.49019
Huang, L. R.; Ng, K. F.; Penot, J.-P.
2000
Explicit solutions to Hamilton-Jacobi equations under mild continuity and convexity assumptions. Zbl 0970.49022
Penot, Jean-Paul; Volle, Michel
2000
Harmonic sum and duality. Zbl 0964.49020
Penot, Jean-Paul; Zălinescu, Constantin
2000
Second-order conditions for optimization problems with constraints. Zbl 0917.49023
Penot, Jean-Paul
1999
Compactness properties, openness criteria and coderivatives. Zbl 0932.49019
Penot, Jean-Paul
1998
Are generalized derivatives useful for generalized convex functions? Zbl 0957.49013
Penot, Jean-Paul
1998
...and 111 more Documents
all top 5

### Cited by 1,190 Authors

 96 Penot, Jean-Paul 30 Thibault, Lionel 26 Phan Quôc Khánh 24 Théra, Michel A. 23 Beer, Gerald Alan 22 Kruger, Alexander Y. 22 Yao, Jen-Chih 21 Durea, Marius 20 Borwein, Jonathan Michael 20 Mordukhovich, Boris S. 17 Volle, Michel 16 Anh, Nguyen Le Hoang 16 Boţ, Radu Ioan 16 Dinh The Luc 16 Martínez-Legaz, Juan-Enrique 15 Huynh Van Ngai 15 Jourani, Abderrahim 15 Lara, Felipe 15 Suzuki, Satoshi 15 Yang, Xiaoqi 15 Zălinescu, Constantin 14 Strugariu, Radu 13 Azé, Dominique 13 O’Regan, Donal 12 Daniilidis, Aris 12 Eberhard, Andrew C. 12 Hadjisavvas, Nicolas 12 Huang, Nan-Jing 12 Kuroiwa, Daishi 12 Lee, Gue Myung 12 Nobakhtian, Soghra 11 Gadhi, Nazih Abderrazzak 11 Ioffe, Alexander Davidovich 11 Jeyakumar, Vaithilingam 11 Khamsi, Mohamed Amine 11 Nguyen Thi Toan 11 Qiu, Jinghui 11 Su, Tran Van 10 Attouch, Hedy 10 Lassonde, Marc 10 Pham Huu Sach 10 Wang, Shawn Xianfu 10 Wanka, Gert 9 Bounkhel, Messaoud 9 Cibulka, Radek 9 Hantoute, Abderrahim 9 Li, Shengjie 9 Movahedian, Nooshin 9 Tung, Nguyen Minh 9 Nguyen Dong Yen 8 Ben Amar, Afif 8 Burachik, Regina Sandra 8 Correa, Rafael 8 Do Van Luu 8 Fang, Yaping 8 Grad, Sorin-Mihai 8 Iusem, Alfredo Noel 8 Ivanov, Vsevolod Ivanov 8 Lalitha, C. S. 8 Novo-Sanjurjo, Vicente 8 Tuan, Nguyen Dinh 8 Tung, Le Thanh 7 Bauschke, Heinz H. 7 Dolgopolik, Maxim Vladimirovich 7 Fabian, Marián J. 7 Goberna, Miguel Angel 7 Gorokhovik, Valentin Vikent’evich 7 Lin, Lai-Jiu 7 Mishra, Shashi Kant 7 Roberto, Lucchetti E. 7 Taoudi, Mohamed Aziz 7 Thao, Nguyen Hieu 7 Yang, Xinmin 6 Adly, Samir 6 Bednarczuk, Ewa M. 6 Dempe, Stephan 6 Dontchev, Asen L. 6 Florea, Elena-Andreea 6 Gutiérrez, César 6 Kanzi, Nader 6 Kien, Bui Trong 6 López, Ruben 6 Reich, Simeon 6 Salem, Hussein A. H. 6 Soleimani-damaneh, Majid 6 Teo, Kok Lay 6 Thuy, Le Quang 6 Visintin, Augusto 5 Agarwal, Ravi P. 5 Amahroq, Tijani 5 Aussel, Didier 5 Barron, Emmanuel Nicholas 5 Csetnek, Ernö Robert 5 Demyanov, Vladimir Fedorovich 5 Dentcheva, Darinka 5 Du, Wei-Shih 5 Ershov, Aleksandr Anatol’evich 5 Georgiev, Pando Grigorov 5 Hamel, Andreas H. 5 Hang, Dinh Dieu ...and 1,090 more Authors
all top 5

### Cited in 213 Serials

 176 Journal of Optimization Theory and Applications 125 Optimization 112 Journal of Mathematical Analysis and Applications 77 Journal of Global Optimization 76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 66 Set-Valued and Variational Analysis 53 Nonlinear Analysis. Theory, Methods & Applications 46 Mathematical Programming. Series A. Series B 40 Set-Valued Analysis 40 Optimization Letters 36 Numerical Functional Analysis and Optimization 32 Transactions of the American Mathematical Society 32 Positivity 24 SIAM Journal on Optimization 22 Proceedings of the American Mathematical Society 22 Journal of Convex Analysis 16 Bulletin of the Australian Mathematical Society 14 Applicable Analysis 14 Vietnam Journal of Mathematics 12 Applied Mathematics and Optimization 12 Journal of Fixed Point Theory and Applications 11 European Journal of Operational Research 11 Fixed Point Theory and Applications 9 Journal of Functional Analysis 9 Topology and its Applications 9 Journal of Nonlinear and Variational Analysis 8 Journal of Inequalities and Applications 7 Archiv der Mathematik 7 Journal of Differential Equations 7 Mathematics of Operations Research 7 Zeitschrift für Analysis und ihre Anwendungen 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Acta Mathematica Sinica. English Series 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Applied Mathematics and Computation 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Rocky Mountain Journal of Mathematics 5 SIAM Journal on Control and Optimization 5 Operations Research Letters 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Mathematical Sciences (New York) 5 Abstract and Applied Analysis 5 Mathematical Methods of Operations Research 5 Journal of Applied Mathematics 4 Computers & Mathematics with Applications 4 Israel Journal of Mathematics 4 Acta Mathematica Vietnamica 4 Journal of Approximation Theory 4 Journal of Computational and Applied Mathematics 4 Mathematical and Computer Modelling 4 Neural Networks 4 Computational Optimization and Applications 4 Top 4 Taiwanese Journal of Mathematics 4 RAIRO. Operations Research 4 Mediterranean Journal of Mathematics 4 Journal of Industrial and Management Optimization 4 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Archive for Rational Mechanics and Analysis 3 Mathematical Notes 3 Journal of Economic Theory 3 Journal of Soviet Mathematics 3 Mathematica Slovaca 3 Siberian Mathematical Journal 3 Bulletin of the Iranian Mathematical Society 3 Applied Mathematics Letters 3 Annals of Operations Research 3 Linear Algebra and its Applications 3 Calculus of Variations and Partial Differential Equations 3 Computational and Applied Mathematics 3 Filomat 3 Journal of Dynamical and Control Systems 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Fixed Point Theory 3 Proceedings of the Steklov Institute of Mathematics 3 Mathematics and Financial Economics 3 Minimax Theory and its Applications 2 Journal of Geometry and Physics 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Manuscripta Mathematica 2 Le Matematiche 2 Monatshefte für Mathematik 2 Opsearch 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Results in Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Advances in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Acta Mathematica Sinica. New Series 2 ZOR. Zeitschrift für Operations Research 2 Turkish Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Optimization Methods & Software ...and 113 more Serials
all top 5

### Cited in 52 Fields

 807 Calculus of variations and optimal control; optimization (49-XX) 784 Operations research, mathematical programming (90-XX) 273 Operator theory (47-XX) 209 Functional analysis (46-XX) 199 Real functions (26-XX) 166 General topology (54-XX) 115 Global analysis, analysis on manifolds (58-XX) 81 Convex and discrete geometry (52-XX) 68 Numerical analysis (65-XX) 58 Ordinary differential equations (34-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Partial differential equations (35-XX) 27 Measure and integration (28-XX) 24 Systems theory; control (93-XX) 19 Approximations and expansions (41-XX) 13 Differential geometry (53-XX) 12 Integral equations (45-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 7 Mathematical logic and foundations (03-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 Sequences, series, summability (40-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Biology and other natural sciences (92-XX) 3 Algebraic geometry (14-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)