Penot, Jean-Paul Revisiting some rules of convex analysis. (English) Zbl 1398.90122 Set-Valued Var. Anal. 25, No. 4, 773-788 (2017). Reviewer: Gabriela Cristescu (Arad) MSC: 90C25 26B25 52A05 26B40 49K99 PDFBibTeX XMLCite \textit{J.-P. Penot}, Set-Valued Var. Anal. 25, No. 4, 773--788 (2017; Zbl 1398.90122) Full Text: DOI
Penot, Jean-Paul Higher-order optimality conditions and higher-order tangent sets. (English) Zbl 1381.49024 SIAM J. Optim. 27, No. 4, 2508-2527 (2017). MSC: 49K27 46A20 46N10 52A05 52A40 90C30 PDFBibTeX XMLCite \textit{J.-P. Penot}, SIAM J. Optim. 27, No. 4, 2508--2527 (2017; Zbl 1381.49024) Full Text: DOI
Penot, Jean-Paul On the relations between some second-order derivatives. (English) Zbl 1353.90177 Optim. Lett. 10, No. 6, 1371-1377 (2016). MSC: 90C48 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optim. Lett. 10, No. 6, 1371--1377 (2016; Zbl 1353.90177) Full Text: DOI
Penot, Jean-Paul Projective dualities for quasiconvex problems. (English) Zbl 1342.90190 J. Glob. Optim. 62, No. 3, 411-430 (2015). Reviewer: Gerhard-Wilhelm Weber (Ankara) with Gülser Köksal and Başak Akteke Öztürk MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Glob. Optim. 62, No. 3, 411--430 (2015; Zbl 1342.90190) Full Text: DOI
Penot, Jean-Paul Conjugacies adapted to lower semicontinuous functions. (English) Zbl 1311.49086 Optimization 64, No. 3, 473-494 (2015). MSC: 49N15 49J52 90C26 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optimization 64, No. 3, 473--494 (2015; Zbl 1311.49086) Full Text: DOI
Penot, Jean-Paul Optimality conditions in semidefinite programming. (English) Zbl 1295.90042 Numer. Funct. Anal. Optim. 35, No. 7-9, 1174-1196 (2014). MSC: 90C22 90C26 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, Numer. Funct. Anal. Optim. 35, No. 7--9, 1174--1196 (2014; Zbl 1295.90042) Full Text: DOI
Penot, Jean-Paul Directionally limiting subdifferentials and second-order optimality conditions. (English) Zbl 1320.90084 Optim. Lett. 8, No. 3, 1191-1200 (2014). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optim. Lett. 8, No. 3, 1191--1200 (2014; Zbl 1320.90084) Full Text: DOI
Penot, Jean-Paul Variational analysis for the consumer theory. (English) Zbl 1288.91134 J. Optim. Theory Appl. 159, No. 3, 769-794 (2013). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 91B42 90C46 90C48 49J27 49J53 47N10 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Optim. Theory Appl. 159, No. 3, 769--794 (2013; Zbl 1288.91134) Full Text: DOI
Linh, Nguyen Thi Hong; Penot, Jean-Paul Generalized convex functions and generalized differentials. (English) Zbl 1302.26009 Optimization 62, No. 7, 943-959 (2013). MSC: 26B25 46G05 49K27 90C26 90C32 PDFBibTeX XMLCite \textit{N. T. H. Linh} and \textit{J.-P. Penot}, Optimization 62, No. 7, 943--959 (2013; Zbl 1302.26009) Full Text: DOI
Penot, Jean-Paul Image space approach and subdifferentials of integral functionals. (English) Zbl 1217.49018 Optimization 60, No. 1-3, 69-87 (2011). MSC: 49J52 49M29 49N15 90C26 90C30 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optimization 60, No. 1--3, 69--87 (2011; Zbl 1217.49018) Full Text: DOI
Penot, Jean-Paul Are dualities appropriate for duality theories in optimization? (English) Zbl 1195.49045 J. Glob. Optim. 47, No. 3, 503-525 (2010). MSC: 49N15 90C25 90C26 90C30 90C31 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Glob. Optim. 47, No. 3, 503--525 (2010; Zbl 1195.49045) Full Text: DOI
Penot, Jean-Paul Radiant and coradiant dualities. (English) Zbl 1220.90161 Pac. J. Optim. 6, No. 2, 263-279 (2010). MSC: 90C46 90C26 26B25 49N15 PDFBibTeX XMLCite \textit{J.-P. Penot}, Pac. J. Optim. 6, No. 2, 263--279 (2010; Zbl 1220.90161)
Amahroq, Tijani; Penot, Jean-Paul; Syam, Aïcha On the subdifferentiability of the difference of two functions and local minimization. (English) Zbl 1165.26307 Set-Valued Anal. 16, No. 4, 413-427 (2008). MSC: 26B05 26B25 49K27 90C26 PDFBibTeX XMLCite \textit{T. Amahroq} et al., Set-Valued Anal. 16, No. 4, 413--427 (2008; Zbl 1165.26307) Full Text: DOI HAL
Hong Linh, Nguyen Thi; Penot, Jean-Paul Generalized affine maps and generalized convex functions. (English) Zbl 1161.26007 Pac. J. Optim. 4, No. 2, 353-380 (2008). Reviewer: Stefan Mititelu (Bucureşti) MSC: 26B25 46G05 49K27 90C26 90C32 PDFBibTeX XMLCite \textit{N. T. Hong Linh} and \textit{J.-P. Penot}, Pac. J. Optim. 4, No. 2, 353--380 (2008; Zbl 1161.26007)
Caprari, Elisa; Penot, Jean-Paul Tangentially ds functions. (English) Zbl 1127.26004 Optimization 56, No. 1-2, 25-38 (2007). Reviewer: Cristinel Mortici (Targoviste) MSC: 26A24 26A27 52A41 90C26 90C46 PDFBibTeX XMLCite \textit{E. Caprari} and \textit{J.-P. Penot}, Optimization 56, No. 1--2, 25--38 (2007; Zbl 1127.26004) Full Text: DOI
Linh, Nguyen Thi Hong; Penot, Jean-Paul Optimality conditions for quasiconvex programs. (English) Zbl 1165.90679 SIAM J. Optim. 17, No. 2, 500-510 (2006). MSC: 90C46 90C26 49J52 PDFBibTeX XMLCite \textit{N. T. H. Linh} and \textit{J.-P. Penot}, SIAM J. Optim. 17, No. 2, 500--510 (2006; Zbl 1165.90679) Full Text: DOI
Penot, Jean-Paul Unilateral analysis and duality. (English) Zbl 1136.90502 Audet, Charles (ed.) et al., Essays and surveys in global optimization. New York, NY: Springer (ISBN 0-387-25569-9/hbk). GERAD 25th Anniversary Series 7, 1-37 (2005). MSC: 90C46 90C31 PDFBibTeX XMLCite \textit{J.-P. Penot}, GERAD 25th Anniv. Ser. 7, 1--37 (2005; Zbl 1136.90502) Full Text: DOI
Penot, Jean-Paul; Rubinov, Alexander M. Multipliers and general Lagrangians. (English) Zbl 1080.90085 Optimization 54, No. 4-5, 443-467 (2005). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C46 49M30 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{A. M. Rubinov}, Optimization 54, No. 4--5, 443--467 (2005; Zbl 1080.90085) Full Text: DOI
Penot, Jean-Paul; Volle, Michel Surrogate programming and multipliers in quasi-convex programming. (English) Zbl 1134.49315 SIAM J. Control Optim. 42, No. 6, 1994-2003 (2004). MSC: 49N15 49M37 90C26 90C31 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{M. Volle}, SIAM J. Control Optim. 42, No. 6, 1994--2003 (2004; Zbl 1134.49315) Full Text: DOI
Penot, J. P. Lagrangian approach to quasiconvex programing. (English) Zbl 1043.90072 J. Optimization Theory Appl. 117, No. 3, 637-647 (2003). MSC: 90C26 90C46 49M30 PDFBibTeX XMLCite \textit{J. P. Penot}, J. Optim. Theory Appl. 117, No. 3, 637--647 (2003; Zbl 1043.90072) Full Text: DOI
Penot, J. P. Characterization of solution sets of quasiconvex programs. (English) Zbl 1043.90071 J. Optimization Theory Appl. 117, No. 3, 627-636 (2003). MSC: 90C26 90C31 PDFBibTeX XMLCite \textit{J. P. Penot}, J. Optim. Theory Appl. 117, No. 3, 627--636 (2003; Zbl 1043.90071) Full Text: DOI
Penot, Jean-Paul Augmented Lagrangians, duality and growth conditions. (English) Zbl 1030.49035 J. Nonlinear Convex Anal. 3, No. 3, 283-302 (2002). Reviewer: Constantin Zălinescu (Iaşi) MSC: 49N15 90C26 90C31 90C46 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Nonlinear Convex Anal. 3, No. 3, 283--302 (2002; Zbl 1030.49035)
Penot, Jean-Paul; Zălinescu, Constantin Approximation of functions and sets. (English) Zbl 1008.49011 Lassonde, Marc (ed.), Approximation, optimization and mathematical economics. Proceedings of the 5th international conference on “Approximation and optimization in the Caribbean”, Guadeloupe, French West Indies, March 29 - April 2, 1999. Heidelberg: Physica-Verlag. 255-274 (2001). Reviewer: A.Seeger (Avignon) MSC: 49J52 49N15 90C46 49J53 26B05 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, in: Approximation, optimization and mathematical economics. Proceedings of the 5th international conference on ``Approximation and optimization in the Caribbean'', Guadeloupe, French West Indies, March 29 -- April 2, 1999. Heidelberg: Physica-Verlag. 255--274 (2001; Zbl 1008.49011)
Penot, Jean-Paul Duality for anticonvex programs. (English) Zbl 1033.90149 J. Glob. Optim. 19, No. 2, 163-182 (2001). MSC: 90C46 26B25 49J53 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Glob. Optim. 19, No. 2, 163--182 (2001; Zbl 1033.90149) Full Text: DOI
Huang, L. R.; Ng, K. F.; Penot, J.-P. On minimizing and critical sequences in nonsmooth optimization. (English) Zbl 1042.49019 SIAM J. Optim. 10, No. 4, 999-1019 (2000). MSC: 49J52 49J45 90C46 PDFBibTeX XMLCite \textit{L. R. Huang} et al., SIAM J. Optim. 10, No. 4, 999--1019 (2000; Zbl 1042.49019) Full Text: DOI
Penot, Jean-Paul Recent advances on second-order optimality conditions. (English) Zbl 0994.49016 Nguyen, Van Hien (ed.) et al., Optimization. Proceedings of the 9th Belgian-French-German conference, Namur, Belgium, September 7-11, 1998. Berlin: Springer. Lect. Notes Econ. Math. Syst. 481, 357-380 (2000). Reviewer: Joseph Frédéric Bonnans (Le Chesnay) MSC: 49K27 90C46 49J52 PDFBibTeX XMLCite \textit{J.-P. Penot}, Lect. Notes Econ. Math. Syst. 481, 357--380 (2000; Zbl 0994.49016)
Penot, Jean-Paul What is quasiconvex analysis? (English) Zbl 0963.49013 Optimization 47, No. 1-2, 35-110 (2000). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 49J52 26B25 49K27 90C26 90C46 49N15 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optimization 47, No. 1--2, 35--110 (2000; Zbl 0963.49013) Full Text: DOI
Penot, Jean-Paul Second-order conditions for optimization problems with constraints. (English) Zbl 0917.49023 SIAM J. Control Optimization 37, No. 1, 303-318 (1999). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 49K27 90C30 46A20 46N10 52A05 52A40 PDFBibTeX XMLCite \textit{J.-P. Penot}, SIAM J. Control Optim. 37, No. 1, 303--318 (1999; Zbl 0917.49023) Full Text: DOI
Penot, Jean-Paul On the minimization of difference functions. (English) Zbl 0909.90244 J. Glob. Optim. 12, No. 4, 373-382 (1998). MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Glob. Optim. 12, No. 4, 373--382 (1998; Zbl 0909.90244) Full Text: DOI
Penot, Jean-Paul Optimality conditions for mildly nonsmooth constrained optimization. (English) Zbl 0935.49009 Optimization 43, No. 4, 323-337 (1998). Reviewer: M.Studniarski (Łódź) MSC: 49J52 90C30 49K27 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optimization 43, No. 4, 323--337 (1998; Zbl 0935.49009) Full Text: DOI
Cominetti, R.; Penot, J.-P. Tangent sets of order one and two to the positive cones of some functional spaces. (English) Zbl 0912.46012 Appl. Math. Optimization 36, No. 3, 291-312 (1997). MSC: 46B20 46E15 46E30 46N10 46G05 46E05 PDFBibTeX XMLCite \textit{R. Cominetti} and \textit{J. P. Penot}, Appl. Math. Optim. 36, No. 3, 291--312 (1997; Zbl 0912.46012) Full Text: DOI
Penot, J.-P. Conditioning convex and nonconvex problems. (English) Zbl 0903.49015 J. Optimization Theory Appl. 90, No. 3, 535-554 (1996). Reviewer: C.Zălinescu (Iaşi) MSC: 49K27 49J45 49K40 90C31 PDFBibTeX XMLCite \textit{J. P. Penot}, J. Optim. Theory Appl. 90, No. 3, 535--554 (1996; Zbl 0903.49015) Full Text: DOI
Penot, Jean-Paul Sequential derivatives and composite optimization. (English) Zbl 0859.49027 Rev. Roum. Math. Pures Appl. 40, No. 5-6, 501-519 (1995). Reviewer: M.Degiovanni (Brescia) MSC: 49K27 49J52 PDFBibTeX XMLCite \textit{J.-P. Penot}, Rev. Roum. Math. Pures Appl. 40, No. 5--6, 501--519 (1995; Zbl 0859.49027)
Cominetti, Roberto; Penot, Jean-Paul Tangent sets to unilateral convex sets. (English. Abridged French version) Zbl 0866.49026 C. R. Acad. Sci., Paris, Sér. I 321, No. 12, 1631-1636 (1995). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 49J52 46N10 49K99 90C31 52A40 PDFBibTeX XMLCite \textit{R. Cominetti} and \textit{J.-P. Penot}, C. R. Acad. Sci., Paris, Sér. I 321, No. 12, 1631--1636 (1995; Zbl 0866.49026)
Penot, Jean-Paul Optimality conditions in mathematical programming and composite optimization. (English) Zbl 0828.90137 Math. Program. 67, No. 2 (A), 225-245 (1994). Reviewer: A.Hoffmann (Ilmenau) MSC: 90C48 49J52 49K27 90C30 PDFBibTeX XMLCite \textit{J.-P. Penot}, Math. Program. 67, No. 2 (A), 225--245 (1994; Zbl 0828.90137) Full Text: DOI
Michel, Philippe; Penot, Jean-Paul Second-order moderate derivatives. (English) Zbl 0810.49017 Nonlinear Anal., Theory Methods Appl. 22, No. 7, 809-821 (1994). Reviewer: X.Q.Yang (Kensington) MSC: 49J52 PDFBibTeX XMLCite \textit{P. Michel} and \textit{J.-P. Penot}, Nonlinear Anal., Theory Methods Appl. 22, No. 7, 809--821 (1994; Zbl 0810.49017) Full Text: DOI
Michel, Philippe; Penot, Jean-Paul Moderate second-order derivatives of nondifferentiable functions. (Dérivées secondes modérées de fonctions non dérivables.) (French) Zbl 0789.46034 C. R. Acad. Sci., Paris, Sér. I 316, No. 10, 995-998 (1993). MSC: 46G05 58C20 49J52 PDFBibTeX XMLCite \textit{P. Michel} and \textit{J.-P. Penot}, C. R. Acad. Sci., Paris, Sér. I 316, No. 10, 995--998 (1993; Zbl 0789.46034)
Michel, Philippe; Penot, Jean-Paul A generalized derivative for calm and stable functions. (English) Zbl 0787.49007 Differ. Integral Equ. 5, No. 2, 433-454 (1992). Reviewer: S.Shih (Tianjin) MSC: 49J52 49K27 26B05 26B12 PDFBibTeX XMLCite \textit{P. Michel} and \textit{J.-P. Penot}, Differ. Integral Equ. 5, No. 2, 433--454 (1992; Zbl 0787.49007)
Penot, Jean-Paul Second-order generalized derivatives: Comparisons of two types of epi- derivatives. (English) Zbl 0764.49013 Advances in optimization, Proc. 6th Fr.-Ger. Colloq., Lambrecht/Ger. 1991, Lect. Notes Econ. Math. Syst. 382, 52-76 (1992). Reviewer: S.Mirica (Bucureşti) MSC: 49J52 26E15 90C30 49J50 PDFBibTeX XMLCite \textit{J.-P. Penot}, Lect. Notes Econ. Math. Syst. 382, 52--76 (1992; Zbl 0764.49013)
Penot, J.-P. Local minimality versus spongious minimality. (English) Zbl 0676.49020 Optimization 19, No. 3, 301-306 (1988). MSC: 49K27 90C30 49J52 PDFBibTeX XMLCite \textit{J. P. Penot}, Optimization 19, No. 3, 301--306 (1988; Zbl 0676.49020) Full Text: DOI
Penot, Jean-Paul About linearization, conization, calmness, openness and regularity. (English) Zbl 0696.90083 Nonlinear analysis and applications, Proc. 7th Int. Conf., Arlington/Tex. 1986, Lect. Notes Pure Appl. Math. 109, 439-450 (1987). MSC: 90C48 49J52 49K27 58C20 65J05 65K05 PDFBibTeX XML
Penot, Jean-Paul Variations on the theme of nonsmooth analysis: another subdifferential. (English) Zbl 0598.49008 Nondifferentiable optimization: motivations and applications, Proc. IIASA Workshop, Sopron/Hung. 1984, Lect. Notes Econ. Math. Syst. 255, 41-54 (1985). Reviewer: Alexander Shapiro MSC: 49J50 49J45 46G05 58C20 90C30 49K27 PDFBibTeX XML
Michel, Philippe; Penot, Jean-Paul Calcul sous-différentiel pour des fonctions lipschitziennes et non lipschitziennes. (French) Zbl 0567.49008 C. R. Acad. Sci., Paris, Sér. I 298, 269-272 (1984). Reviewer: M.Studniarski MSC: 49J50 46G05 49K27 58C20 90C30 26E20 PDFBibTeX XMLCite \textit{P. Michel} and \textit{J.-P. Penot}, C. R. Acad. Sci., Paris, Sér. I 298, 269--272 (1984; Zbl 0567.49008)
Penot, Jean-Paul Compact nets, filters, and relations. (English) Zbl 0537.54002 J. Math. Anal. Appl. 93, 400-417 (1983). Reviewer: Chr.Castaing MSC: 54A20 49J45 49K27 49K40 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Math. Anal. Appl. 93, 400--417 (1983; Zbl 0537.54002) Full Text: DOI
Penot, Jean-Paul On regularity conditions in mathematical programming. (English) Zbl 0493.90076 Math. Program. Study 19, 167-199 (1982). MSC: 90C30 49K27 90C48 57R99 46B99 PDFBibTeX XMLCite \textit{J.-P. Penot}, Math. Program. Study 19, 167--199 (1982; Zbl 0493.90076) Full Text: DOI
Penot, Jean Paul A characterization of tangential regularity. (English) Zbl 0472.58010 Nonlinear Anal., Theory Methods Appl. 5, 625-643 (1981). MSC: 58E99 37C80 49K99 58C20 41A50 41A52 PDFBibTeX XMLCite \textit{J. P. Penot}, Nonlinear Anal., Theory Methods Appl. 5, 625--643 (1981; Zbl 0472.58010) Full Text: DOI