Jean Paul Penot
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Jean Paul Penotmathematics Degrees
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Mathematics
Jean Paul Penot's Degrees
- PhD Mathematics Université Paris Cité
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(Suggest an Edit or Addition)Jean Paul Penot's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Calculus Without Derivatives (2012) (280)
- Metric regularity, openness and Lipschitzian behavior of multifunctions (1989) (167)
- Second-Order Conditions for Optimization Problems with Constraints (1999) (152)
- Differentiability of Relations and Differential Stability of Perturbed Optimization Problems (1984) (144)
- On Quasi-Convex Duality (1990) (143)
- A generalized derivative for calm and stable functions (1992) (138)
- Calcul sous-differentiel et optimisation (1978) (134)
- A fixed point theorem for sequentially continuous mappings with application to ordinary differential equations (1984) (131)
- The drop theorem,the petal theorem and Ekeland's variational principle (1986) (123)
- The relevance of convex analysis for the study of monotonicity (2004) (122)
- On regularity conditions in mathematical programming (1982) (113)
- Semi-continuous mappings in general topology (1982) (101)
- What is quasiconvex analysis? (2000) (99)
- Generalized Convexity of Functions and Generalized Monotonicity of Set-Valued Maps (1997) (88)
- Optimality conditions in mathematical programming and composite optimization (1994) (82)
- Operations on convergent families of sets and functions (1990) (81)
- Metrically well-set minimization problems (1992) (78)
- Are Generalized Derivatives Sseful for Generalized Convex Functions (1998) (74)
- A characterization of tangential regularity (1981) (72)
- Convergence of asymptotic directions (2001) (66)
- Fixed point theorems without convexity (1979) (63)
- Some problems about the representation of monotone operators by convex functions (2005) (61)
- Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions (1986) (57)
- Uniformly convex and uniformly smooth convex functions (1995) (56)
- Compactness Properties, Openness Criteria and Coderivatives (1998) (55)
- Characterization of Solution Sets of Quasiconvex Programs (2003) (55)
- Compact nets, filters, and relations (1983) (51)
- Approximation and decomposition properties of some classes of locally D.C. functions (1988) (49)
- Conjugate convex operators (1984) (48)
- Calculus Rules for Derivatives of Multimaps (2009) (47)
- The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity (1991) (47)
- Towards minimal assumptions for the infimal convolution regularization (1991) (44)
- SUBDIFFERENTIALS OF PERFORMANCE FUNCTIONS AND CALCULUS OF CODERIVATIVES OF SET-VALUED MAPPINGS (1996) (44)
- Preservation of persistence and stability under intersections and operations, part 1: Persistence (1993) (41)
- Generalized Convexity and Generalized Monotonicity (2001) (41)
- Favorable classes of mappings and multimappings in nonlinear analysis and optimization. (1996) (39)
- Variations on the Theme of Nonsmooth Analysis: Another Subdifferential (1985) (39)
- On the Subdifferentiability of the Difference of Two Functions and Local Minimization (2008) (38)
- Approximately convex functions and approximately monotonic operators (2007) (37)
- Elements of quasiconvex subdifferential calculus. (2000) (36)
- Differentiability Properties of Optimal Value Functions (2004) (36)
- Conditioning convex and nonconvex problems (1996) (35)
- The directional subdifferential of the difference of two convex functions (2011) (35)
- Another duality scheme for Quasiconvex Problems (1988) (34)
- Generalized Convexity in the Light of Nonsmooth Analysis (1995) (33)
- Optimality Conditions for Quasiconvex Programs (2006) (32)
- On the convergence of subdifferentials of convex functions (1993) (31)
- Proximal Mappings (1998) (31)
- Limiting subhessians, limiting subjets and their calculus (1997) (30)
- Recent Advances on Second-Order Optimality Conditions (2000) (30)
- Duality for Anticonvex Programs (2001) (30)
- Bounded (Hausdorff) Convergence: Basic Facts and Applications (2005) (29)
- Characterizations of generalized convexities via generalized directional derivatives (1998) (28)
- Generalized Monotonicity of Subdifferentials and Generalized Convexity (1997) (28)
- Mean-Value Theorem with Small Subdifferentials (1997) (27)
- DUALITY FOR RADIANT AND SHADY PROGRAMS (1997) (27)
- A fixed-point theorem for asymptotically contractive mappings (2003) (27)
- Tangent sets to unilateral convex sets (1995) (26)
- Characterizations of metric projections in Banach spaces and applications (1998) (26)
- On Strongly Convex and Paraconvex Dualities (1990) (26)
- Surrogate Programming and Multipliers in Quasi-convex Programming (2003) (26)
- Subtraction Theorems and Approximate Openness for Multifunctions: Topological and Infinitesimal Viewpoints☆ (1998) (25)
- Inversion of real-valued functions and applications (1990) (25)
- New methods in optimization and their industrial uses : state of the art, recent advances, perspectives : proceedings of the symposia held in Pau, October 19-29, 1987 and Paris, November 19, 1987 (1990) (24)
- Open mappings theorems and linearization stability (1985) (24)
- Unilateral Analysis and Duality (2005) (24)
- Miscellaneous Incidences of Convergence Theories in Optimization and Nonlinear Analysis, Part II: Applications in Nonsmooth Analysis (1995) (24)
- Continuity of Usual Operations and Variational Convergences (2003) (24)
- Paraconvex functions and paraconvex sets (2008) (24)
- On the Minimization of Difference Functions (1998) (23)
- Calmness and Stability Properties of Marginal and Performance Functions (2005) (23)
- Cooperative behavior of functions, relations and sets (1998) (23)
- A representation of maximal monotone operators by closed convex functions and its impact on calculus rules (2004) (23)
- Integration of multivalued operators and cyclic submonotonicity (2002) (22)
- On the mean value theorem (1988) (22)
- Codifferential Calculus (2011) (22)
- The bearing of duality on microeconomics (2005) (22)
- Inversion of multifunctions and differential inclusions (2005) (22)
- Regularization by erasement (2006) (22)
- Lower Subdifferentiability and Integration (2002) (22)
- Softness, sleekness and regularity properties in nonsmooth analysis (2008) (21)
- Subdifferential Calculus Without Qualification Assumptions (1996) (21)
- Continuity of the fenchel correspondence and continuity of polarities (1991) (21)
- Harmonic sum and duality. (2000) (20)
- GLIMPSES UPON QUASICONVEX ANALYSIS (2007) (20)
- Topologies and convergences on the space of convex functions (1992) (20)
- On Minimizing and Critical Sequences in Nonsmooth Optimization (1999) (18)
- Metric Estimates for the Calculus of Multimappings (1997) (18)
- Sub-hessians, super-hessians and conjugation (1994) (18)
- Analysis: From Concepts to Applications (2016) (18)
- On the existence of Lagrange multipliers in nonlinear programming in Banach spaces (1981) (18)
- Autoconjugate functions and representations of monotone operators (2003) (18)
- Comparing New Notions of Tangent Cones (1989) (17)
- A new constraint qualification condition (1986) (17)
- The Compatibility with Order of Some Subdifferentials (2002) (17)
- Lagrangian Approach to Quasiconvex Programing (2003) (16)
- Parametrized multicriteria optimization; Order continuity of the marginal multifunctions (1989) (16)
- Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivatives (1992) (16)
- On the Yosida approximation of operators (2001) (16)
- Genericity of Well-Posedness, Perturbations and Smooth Variational Principles (2001) (15)
- A metric approach to asymptotic analysis (2003) (15)
- Noncoercive problems and asymptotic conditions (2006) (15)
- Gap Continuity of Multimaps (2008) (15)
- Continuity of the Legendre–Fenchel transform for some variational convergences (2004) (15)
- Second-order moderate derivatives (1994) (14)
- On the convergence of maximal monotone operators (2005) (14)
- Continuity properties of projection operators (2005) (14)
- Is Convexity Useful for the Study of Monotonicity (2003) (14)
- Image space approach and subdifferentials of integral functionals (2011) (14)
- Variational Analysis for the Consumer Theory (2013) (13)
- A SHORT PROOF OF THE SEPARABLE REDUCTION THEOREM (2010) (12)
- On the Convergence of Descent Algorithms (2002) (12)
- Preservation of persistence and stability under intersections and operations, part 2: Stability (1993) (12)
- A characterization of Clarke’s strict tangent cone via nonlinear semigroups (1985) (11)
- Tangentially ds functions (2007) (11)
- Subdifferentiation of integral functionals (2018) (11)
- Convex analysis can be helpful for the asymptotic analysis of monotone operators (2008) (11)
- Multipliers and general Lagrangians (2005) (11)
- Directionally limiting subdifferentials and second-order optimality conditions (2014) (11)
- Rotundity, smoothness and duality (2003) (10)
- Journal of Convex Analysis (2012) (10)
- Miscellaneous incidences of convergence theories in optimization and nonlinear analysis I: Behavior of solutions (1994) (10)
- DUALITY METHODS FOR THE STUDY OF HAMILTON{JACOBI EQUATIONS (2007) (10)
- Subdifferentials of Distance Functions, Approximations and Enlargements (2007) (9)
- Are dualities appropriate for duality theories in optimization? (2010) (9)
- Subdifferentiation of Regularized Functions (2016) (9)
- Multipliers and Generalized Derivatives of Performance Functions (1997) (9)
- Conjugacies adapted to lower semicontinuous functions (2013) (9)
- Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations (2001) (9)
- Towards a New Era in Subdifferential Analysis (2013) (8)
- STRICTLY CONVEX METRIC SPACES AND FIXED POINTS (2005) (8)
- On the interchange of subdifferentiation and epi-convergence (1995) (8)
- Approximation of Functions and Sets (2001) (8)
- Generalized convex functions and generalized differentials (2013) (8)
- Generalized a ¢ ne maps and generalized convex functions (2009) (7)
- Higher-Order Optimality Conditions and Higher-Order Tangent Sets (2017) (7)
- Infinite products of relations, set-valued series and uniform openness of multifunctions (1995) (7)
- Bounded convergence for perturbed minimization problems (2004) (7)
- Surjectivity of multifunctions under generalized differentiability assumptions (1983) (7)
- Optimality conditions for mildly nonsmooth constrained optimization (1998) (6)
- WELL-BEHAVIOR, WELL-POSEDNESS AND NONSMOOTH ANALYSIS (2013) (6)
- A remark on the direct method of the calculus of variations (1977) (6)
- Some properties of the demand correspondence in the consumer theory (2014) (6)
- Elements of Differential Calculus (2013) (5)
- The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations (2005) (5)
- Ekeland Duality as a Paradigm (2009) (5)
- Variational Subdifferential for Quasiconvex Functions (2001) (5)
- A comparative study of various notions of approximation of sets (2005) (5)
- Critical duality (2008) (5)
- Local minimality versus spongious minimality (1988) (4)
- Persistence and stability of solutions of Hamilton–Jacobi equations (2008) (4)
- Revisiting the problem of integrability in utility theory (2015) (4)
- Infinitesimal calculus in metric spaces (2007) (3)
- Natural closures, natural compositions and natural sums of monotone operators (2008) (3)
- The Joly topology and the Mosco-Beer topology revisited (1993) (3)
- Topological stability results about approximate solutions of parametrized minimization problems (1991) (3)
- Least squares solutions of linear inequality systems: a pedestrian approach (2017) (3)
- Generalized convexity and generalized monotonicity : proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999 (2001) (2)
- Conciliating Generalized Derivatives (2014) (2)
- On the relations between some second-order derivatives (2016) (2)
- Optimality Conditions in Semidefinite Programming (2014) (2)
- Projective dualities for quasiconvex problems (2015) (2)
- A note on the connection between Chaney’s derivatives and epi-derivatives (2014) (2)
- A duality for starshaped functions (2002) (2)
- Delineating nice classes of nonsmooth functions (2009) (2)
- Monotonicity and Dualities (2007) (2)
- Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance (2019) (1)
- Generalized A ¢ ne Functions and Generalized Di ¤ erentials (2009) (1)
- Continuity of the Approximate Subdifferential (1991) (1)
- Semigroups of Relations and Subdifferentials of the Minimal Time Function and of the Geodesic Distance (2013) (1)
- Lipschitzian Behavior of the Fenchel Biconjugacy (2002) (1)
- IN ASPLUND SPACES, APPROXIMATELY CONVEX FUNCTIONS AND REGULAR FUNCTIONS ARE GENERICALLY DIFFERENTIABLE (2008) (1)
- Subdieren tial Calculus Without Qualication Assumptions (1996) (1)
- Legendre functions and the theory of characteristics (2012) (1)
- A note on the connection between Chaney’s derivatives and epi-derivatives (2014) (1)
- Directionally limiting subdifferentials and second-order optimality conditions (2013) (1)
- Generalized Affine Functions and Generalized Differentials (2012) (1)
- Circa-Subdifferentials, Clarke Subdifferentials (2013) (1)
- Some Links Between Approximation, Nonsmooth Analysis, Penalization and Regularization (1999) (1)
- EXPLORING THE JUNGLE OF NONSMOOTH ANALYSIS (2007) (0)
- Helping You Finding an Appropriate Regularization Process (2018) (0)
- TECHNICAL NOTE Generalized Monotonicity of Subdifferentials and Generalized Convexity1 (1997) (0)
- The Power of Differential Calculus (2016) (0)
- Variational Analysis for the Consumer Theory (2013) (0)
- A Versatile Approach to Metric Regularity, Openness, and Lipschitzian Properties (2019) (0)
- Metric and Topological Tools (2013) (0)
- Revisiting some Rules of Convex Analysis (2017) (0)
- Generalized Affine Functions and Generalized Differentials (2012) (0)
- Sets, Orders, Relations and Measures (2016) (0)
- Graded Subdifferentials, Ioffe Subdifferentials (2013) (0)
- Helping You Finding an Appropriate Regularization Process (2018) (0)
- Central and Peripheral Results in the Study of Marginal and Performance Functions (2020) (0)
- Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators (2007) (0)
- Projective dualities for quasiconvex problems (2014) (0)
- Subdifferentiation of integral functionals (2017) (0)
- A Touch of Convex Analysis (2016) (0)
- Revisiting some Rules of Convex Analysis (2017) (0)
- Representation of generalized monotone multimaps (2019) (0)
- Partial Differential Equations (2016) (0)
- Elementary and Viscosity Subdifferentials (2013) (0)
- A Versatile Approach to Metric Regularity, Openness, and Lipschitzian Properties (2019) (0)
- Cutting Plane Algorithms and Approximate Lower Subdifferentiability (2011) (0)
- Elements of Functional Analysis (2016) (0)
- La notion d'application analytique (1967) (0)
- Introduction to the volume (1979) (0)
- What is a Lipschitzian Manifold? (2022) (0)
- Subdifferentiation of Regularized Functions (2016) (0)
- Encounters With Limits (2016) (0)
- Elements of Convex Analysis (2013) (0)
- Limiting subjects and their calculus (1995) (0)
- Subdiierential Calculus without Qualiication Assumptions (1996) (0)
- On the relations between some second-order derivatives (2015) (0)
- Generalized derivatives and generalized convexities (1994) (0)
- Differentiation and Integration (2016) (0)
- A short proof of the separable reduction theorem (2010) (0)
- Poster Session 2: Results (pacing), indications (pacing) (2009) (0)
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