Adly, Samir; Attouch, Hedy; Rockafellar, Ralph Tyrell Preservation or not of the maximally monotone property by graph-convergence. (English) Zbl 07733426 J. Convex Anal. 30, No. 2, 413-440 (2023). Reviewer: Ernö Robert Csetnek (Wien) MSC: 47H05 47J22 49K40 PDFBibTeX XMLCite \textit{S. Adly} et al., J. Convex Anal. 30, No. 2, 413--440 (2023; Zbl 07733426) Full Text: Link
Royset, Johannes O. Set-convergence and its application: a tutorial. (English) Zbl 1464.49008 Set-Valued Var. Anal. 28, No. 4, 707-732 (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 49J53 PDFBibTeX XMLCite \textit{J. O. Royset}, Set-Valued Var. Anal. 28, No. 4, 707--732 (2020; Zbl 1464.49008) Full Text: DOI arXiv
Royset, Johannes O. Stability and error analysis for optimization and generalized equations. (English) Zbl 1470.90137 SIAM J. Optim. 30, No. 1, 752-780 (2020). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C31 90C46 90C33 49K27 49K40 65K10 PDFBibTeX XMLCite \textit{J. O. Royset}, SIAM J. Optim. 30, No. 1, 752--780 (2020; Zbl 1470.90137) Full Text: DOI arXiv
Correa, R.; Hantoute, A.; Jourani, A. Characterizations of convex approximate subdifferential calculus in Banach spaces. (English) Zbl 1336.49018 Trans. Am. Math. Soc. 368, No. 7, 4831-4854 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J52 49J53 46N10 52A41 PDFBibTeX XMLCite \textit{R. Correa} et al., Trans. Am. Math. Soc. 368, No. 7, 4831--4854 (2016; Zbl 1336.49018) Full Text: DOI
Wenczel, Robert; Eberhard, Andrew; Hill, Robin Convergence of truncates in \(l^{1}\) optimal feedback control. (English) Zbl 1182.49031 Pearce, Charles (ed.) et al., Optimization. Structure and applications. New York, NY: Springer (ISBN 978-0-387-98095-9/hbk; 978-0-387-98096-6/ebook). Springer Optimization and Its Applications 32, 55-93 (2009). MSC: 49N35 90C25 93B52 PDFBibTeX XMLCite \textit{R. Wenczel} et al., Springer Optim. Appl. 32, 55--93 (2009; Zbl 1182.49031) Full Text: DOI
Beer, Gerald; Levi, Sandro Gap, excess and bornological convergence. (English) Zbl 1165.54002 Set-Valued Anal. 16, No. 4, 489-506 (2008). Reviewer: Akihiro Okuyama (Kobe) MSC: 54B20 54E35 PDFBibTeX XMLCite \textit{G. Beer} and \textit{S. Levi}, Set-Valued Anal. 16, No. 4, 489--506 (2008; Zbl 1165.54002) Full Text: DOI
Penot, Jean-Paul; Zălinescu, Constantin Persistence and stability of solutions of Hamilton-Jacobi equations. (English) Zbl 1156.35343 J. Math. Anal. Appl. 347, No. 1, 188-203 (2008). MSC: 35F25 49L99 35B30 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, J. Math. Anal. Appl. 347, No. 1, 188--203 (2008; Zbl 1156.35343) Full Text: DOI
Lagdhir, M.; Thibault, L. Variational convergence of composed convex functions. (English) Zbl 1134.49307 Positivity 9, No. 1, 115-147 (2005). MSC: 49J45 90C31 PDFBibTeX XMLCite \textit{M. Lagdhir} and \textit{L. Thibault}, Positivity 9, No. 1, 115--147 (2005; Zbl 1134.49307) Full Text: DOI
Agadi, Ali; Penot, Jean-Paul A comparative study of various notions of approximation of sets. (English) Zbl 1068.41039 J. Approximation Theory 134, No. 1, 80-101 (2005). Reviewer: Hang Tong Lau (Montréal) MSC: 41A30 PDFBibTeX XMLCite \textit{A. Agadi} and \textit{J.-P. Penot}, J. Approx. Theory 134, No. 1, 80--101 (2005; Zbl 1068.41039) Full Text: DOI
El Hajioui, Khalid; Mentagui, Driss Slice convergence: stability and optimization in nonreflexive spaces. (Slice convergence: stabilité et optimisation dans les espaces non réflexifs.) (French) Zbl 1072.49009 ESAIM, Control Optim. Calc. Var. 10, 505-525 (2004). MSC: 49J45 49K40 49N15 49J52 90C25 90C46 PDFBibTeX XMLCite \textit{K. El Hajioui} and \textit{D. Mentagui}, ESAIM, Control Optim. Calc. Var. 10, 505--525 (2004; Zbl 1072.49009) Full Text: DOI Numdam EuDML
Penot, Jean-Paul; Zălinescu, Constantin Bounded convergence for perturbed minimization problems. (English) Zbl 1153.49316 Optimization 53, No. 5-6, 625-640 (2004). MSC: 49K40 90C31 46N10 52A40 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, Optimization 53, No. 5--6, 625--640 (2004; Zbl 1153.49316) Full Text: DOI
Penot, Jean-Paul; Zălinescu, Constantin Continuity of the Legendre-Fenchel transform for some variational convergences. (English) Zbl 1153.49310 Optimization 53, No. 5-6, 549-562 (2004). MSC: 49J53 49J45 90C31 46A20 46N10 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, Optimization 53, No. 5--6, 549--562 (2004; Zbl 1153.49310) Full Text: DOI
Mentagui, Driss Recession analysis and stability results for a variational convergence, application to the duality theory in mathematical programming. (Analyse de récession et résultats de stabilité d’une convergence variationnelle, application à la théorie de la dualité en programmation mathématique.) (French) Zbl 1073.49006 ESAIM, Control Optim. Calc. Var. 9, 297-315 (2003). MSC: 49J45 90C46 90C31 26A51 54B20 PDFBibTeX XMLCite \textit{D. Mentagui}, ESAIM, Control Optim. Calc. Var. 9, 297--315 (2003; Zbl 1073.49006) Full Text: DOI Numdam EuDML
Pennanen, T.; Rockafellar, R. T.; Théra, M. Graphical convergence of sums of monotone mappings. (English) Zbl 1010.47031 Proc. Am. Math. Soc. 130, No. 8, 2261-2269 (2002). Reviewer: Milan Kučera (Praha) MSC: 47H05 PDFBibTeX XMLCite \textit{T. Pennanen} et al., Proc. Am. Math. Soc. 130, No. 8, 2261--2269 (2002; Zbl 1010.47031) Full Text: DOI
Wenczel, Robert; Eberhard, Andrew Slice convergence of parametrised sums of convex functions in non-reflexive spaces. (English) Zbl 0945.49007 Bull. Aust. Math. Soc. 60, No. 3, 429-458 (1999). MSC: 49J45 49J52 52A27 46N10 46A20 PDFBibTeX XMLCite \textit{R. Wenczel} and \textit{A. Eberhard}, Bull. Aust. Math. Soc. 60, No. 3, 429--458 (1999; Zbl 0945.49007) 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
Mentagui, D. Stability results of a class of well-posed optimization problems. (English) Zbl 0857.49021 Optimization 36, No. 2, 119-138 (1996). Reviewer: M.Todorov (Plovdiv) MSC: 49K40 90C31 49J45 PDFBibTeX XMLCite \textit{D. Mentagui}, Optimization 36, No. 2, 119--138 (1996; Zbl 0857.49021) Full Text: DOI
Jourani, Abderrahim Tangency conditions for multivalued mappings. (English) Zbl 0860.54020 Set-Valued Anal. 4, No. 2, 157-172 (1996). Reviewer: V.Anisiu (Cluj-Napoca) MSC: 54C60 52A07 PDFBibTeX XMLCite \textit{A. Jourani}, Set-Valued Anal. 4, No. 2, 157--172 (1996; Zbl 0860.54020) Full Text: DOI
Kum, Sangho Convergences on closed convex sets in a locally convex space. (English) Zbl 0844.54007 Numer. Funct. Anal. Optimization 16, No. 7-8, 975-987 (1995). Reviewer: L’ubica Holá (Bratislava) MSC: 54B20 46A03 PDFBibTeX XMLCite \textit{S. Kum}, Numer. Funct. Anal. Optim. 16, No. 7--8, 975--987 (1995; Zbl 0844.54007) Full Text: DOI
Konsulova, A. S.; Revalski, J. P. Constrained convex optimization problems – well-posedness and stability. (English) Zbl 0830.90119 Numer. Funct. Anal. Optimization 15, No. 7-8, 889-907 (1994). Reviewer: D.Silin (Graz) MSC: 90C25 49J45 PDFBibTeX XMLCite \textit{A. S. Konsulova} and \textit{J. P. Revalski}, Numer. Funct. Anal. Optim. 15, No. 7--8, 889--907 (1994; Zbl 0830.90119) Full Text: DOI
Beer, Gerald; Théra, Michel Attouch-Wets convergence and a differential operator for convex functions. (English) Zbl 0815.52010 Proc. Am. Math. Soc. 122, No. 3, 851-858 (1994). Reviewer: Y.A.Brudnyi (Haifa) MSC: 52A41 54B20 40A30 46N10 PDFBibTeX XMLCite \textit{G. Beer} and \textit{M. Théra}, Proc. Am. Math. Soc. 122, No. 3, 851--858 (1994; Zbl 0815.52010) Full Text: DOI
Azé, D. Duality for the sum of convex functions in general normed spaces. (English) Zbl 0821.49004 Arch. Math. 62, No. 6, 554-561 (1994). Reviewer: M.Todorov (Plovdiv) MSC: 49J27 90C25 PDFBibTeX XMLCite \textit{D. Azé}, Arch. Math. 62, No. 6, 554--561 (1994; Zbl 0821.49004) Full Text: DOI
Penot, Jean-Paul Miscellaneous incidences of convergence theories in optimization and nonlinear analysis. I: Behavior of solutions. (English) Zbl 0856.49012 Set-Valued Anal. 2, No. 1-2, 259-274 (1994). Reviewer: V.V.Obukhovskij (Voronezh) MSC: 49J45 54C60 49K40 PDFBibTeX XMLCite \textit{J.-P. Penot}, Set-Valued Anal. 2, No. 1--2, 259--274 (1994; Zbl 0856.49012) Full Text: DOI
Lucchetti, Roberto; Torre, Anna Classical set convergences and topologies. (English) Zbl 0832.54012 Set-Valued Anal. 2, No. 1-2, 219-240 (1994). Reviewer: M.Michael (Wilkes-Barre) MSC: 54B20 54A10 PDFBibTeX XMLCite \textit{R. Lucchetti} and \textit{A. Torre}, Set-Valued Anal. 2, No. 1--2, 219--240 (1994; Zbl 0832.54012) Full Text: DOI
Beer, Gerald Wijsman convergence: A survey. (English) Zbl 0812.54014 Set-Valued Anal. 2, No. 1-2, 77-94 (1994). Reviewer: S.A.Naimpally (Nepean) MSC: 54B20 40A30 52A41 46N10 PDFBibTeX XMLCite \textit{G. Beer}, Set-Valued Anal. 2, No. 1--2, 77--94 (1994; Zbl 0812.54014) Full Text: DOI
Azé, D.; Rahmouni, A. Lipschitz behaviour of the Legendre-Fenchel transform. (English) Zbl 0824.90108 Set-Valued Anal. 2, No. 1-2, 35-48 (1994). Reviewer: K.Zimmermann (Praha) MSC: 90C25 26B25 49J52 PDFBibTeX XMLCite \textit{D. Azé} and \textit{A. Rahmouni}, Set-Valued Anal. 2, No. 1--2, 35--48 (1994; Zbl 0824.90108) Full Text: DOI
Attouch, H.; Beer, G. Stability of the geometric Ekeland variational principle: Convex case. (English) Zbl 0812.49014 J. Optimization Theory Appl. 81, No. 1, 1-19 (1994). Reviewer: I.Bock (Bratislava) MSC: 49J45 49J52 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{G. Beer}, J. Optim. Theory Appl. 81, No. 1, 1--19 (1994; Zbl 0812.49014) Full Text: DOI
Beer, Gerald Lipschitz regularization and the convergence of convex functions. (English) Zbl 0817.49018 Numer. Funct. Anal. Optimization 15, No. 1-2, 31-46 (1994). Reviewer: C.Castaing (Montpellier) MSC: 49J45 PDFBibTeX XMLCite \textit{G. Beer}, Numer. Funct. Anal. Optim. 15, No. 1--2, 31--46 (1994; Zbl 0817.49018) Full Text: DOI
Beer, Gerald; Lucchetti, Roberto Well-posed optimization problems and a new topology for the closed subsets of a metric space. (English) Zbl 0812.54015 Rocky Mt. J. Math. 23, No. 4, 1197-1220 (1993). Reviewer: V.V.Obukhovskij (Voronezh) MSC: 54B20 49J45 PDFBibTeX XMLCite \textit{G. Beer} and \textit{R. Lucchetti}, Rocky Mt. J. Math. 23, No. 4, 1197--1220 (1993; Zbl 0812.54015) Full Text: DOI
Attouch, H.; Moudafi, A.; Riahi, H. Quantitative stability analysis for maximal monotone operators and semi-groups of contractions. (English) Zbl 0862.47026 Nonlinear Anal., Theory Methods Appl. 21, No. 9, 697-723 (1993). Reviewer: S.Tersian (Russe) MSC: 47H05 47H20 PDFBibTeX XMLCite \textit{H. Attouch} et al., Nonlinear Anal., Theory Methods Appl. 21, No. 9, 697--723 (1993; Zbl 0862.47026) Full Text: DOI
Sonntag, Yves; Zălinescu, Constantin Set convergences. An attempt of classification. (English) Zbl 0786.54013 Trans. Am. Math. Soc. 340, No. 1, 199-226 (1993). Reviewer: S.A.Naimpally (Nepean) MSC: 54B20 54A20 54E15 54D55 52A05 PDFBibTeX XMLCite \textit{Y. Sonntag} and \textit{C. Zălinescu}, Trans. Am. Math. Soc. 340, No. 1, 199--226 (1993; Zbl 0786.54013) Full Text: DOI
Penot, Jean-Paul On the convergence of subdifferentials of convex functions. (English) Zbl 0797.49014 Nonlinear Anal., Theory Methods Appl. 21, No. 2, 87-101 (1993). Reviewer: D.Butnariu (Haifa) MSC: 49J52 49K40 PDFBibTeX XMLCite \textit{J.-P. Penot}, Nonlinear Anal., Theory Methods Appl. 21, No. 2, 87--101 (1993; Zbl 0797.49014) Full Text: DOI
Beer, Gerald Efficiency and the uniform linear minorization of convex functions. (English) Zbl 0793.49006 Monatsh. Math. 115, No. 4, 281-290 (1993). Reviewer: A.Hoffmann (Ilmenau) MSC: 49J45 PDFBibTeX XMLCite \textit{G. Beer}, Monatsh. Math. 115, No. 4, 281--290 (1993; Zbl 0793.49006) Full Text: DOI EuDML
Beer, Gerald On the Fell topology. (English) Zbl 0810.54010 Set-Valued Anal. 1, No. 1, 69-80 (1993). Reviewer: S.A.Naimpally (Nepean) MSC: 54B20 PDFBibTeX XMLCite \textit{G. Beer}, Set-Valued Anal. 1, No. 1, 69--80 (1993; Zbl 0810.54010) Full Text: DOI
Beer, Gerald; Lucchetti, Roberto Weak topologies for the closed subsets of a metrizable space. (English) Zbl 0810.54011 Trans. Am. Math. Soc. 335, No. 2, 805-822 (1993). Reviewer: S.A.Naimpally (Nepean) MSC: 54B20 28A10 54C05 PDFBibTeX XMLCite \textit{G. Beer} and \textit{R. Lucchetti}, Trans. Am. Math. Soc. 335, No. 2, 805--822 (1993; Zbl 0810.54011) Full Text: DOI
Berr, Gerald Polar locally convex topologies and Attouch-Wets convergence. (English) Zbl 0747.46001 Bull. Aust. Math. Soc. 46, No. 1, 33-46 (1992). Reviewer: Z.G.Gorgadze (Tbilisi) MSC: 46A03 46A20 54B20 PDFBibTeX XMLCite \textit{G. Berr}, Bull. Aust. Math. Soc. 46, No. 1, 33--46 (1992; Zbl 0747.46001) Full Text: DOI
Beer, Gerald The slice topology: A viable alternative to Mosco convergence in nonreflexive spaces. (English) Zbl 0786.46006 Nonlinear Anal., Theory Methods Appl. 19, No. 3, 271-290 (1992). Reviewer: S.Sankaran (London) MSC: 46A55 46G05 PDFBibTeX XMLCite \textit{G. Beer}, Nonlinear Anal., Theory Methods Appl. 19, No. 3, 271--290 (1992; Zbl 0786.46006) Full Text: DOI
Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. A characterization of epi-convergence in terms of convergence of level sets. (English) Zbl 0769.49011 Proc. Am. Math. Soc. 116, No. 3, 753-761 (1992). Reviewer: C.Vinti (Perugia) MSC: 49J45 54B20 54C35 PDFBibTeX XMLCite \textit{G. Beer} et al., Proc. Am. Math. Soc. 116, No. 3, 753--761 (1992; Zbl 0769.49011) Full Text: DOI
Penot, Jean-Paul Topologies and convergences on the space of convex functions. (English) Zbl 0797.46008 Nonlinear Anal., Theory Methods Appl. 18, No. 10, 905-916 (1992). Reviewer: V.Anisiu (Cluj-Napoca) MSC: 46A55 54C35 52A41 46G05 46E10 PDFBibTeX XMLCite \textit{J.-P. Penot}, Nonlinear Anal., Theory Methods Appl. 18, No. 10, 905--916 (1992; Zbl 0797.46008) Full Text: DOI
Attouch, Hedy; Lucchetti, Roberto; Wets, Roger J.-B. The topology of the \(\rho\)-Hausdorff distance. (English) Zbl 0769.54009 Ann. Mat. Pura Appl., IV. Ser. 160, 303-320 (1991). Reviewer: A.C.Thompson (Halifax) MSC: 54B20 54E35 54E15 PDFBibTeX XMLCite \textit{H. Attouch} et al., Ann. Mat. Pura Appl. (4) 160, 303--320 (1991; Zbl 0769.54009) Full Text: DOI
Beer, Gerald; Lucchetti, Roberto Convex optimization and the epi-distance topology. (English) Zbl 0681.46013 Trans. Am. Math. Soc. 327, No. 2, 795-813 (1991). Reviewer: G. Beer MSC: 46A55 46E10 49J52 46G05 54C35 54A20 PDFBibTeX XMLCite \textit{G. Beer} and \textit{R. Lucchetti}, Trans. Am. Math. Soc. 327, No. 2, 795--813 (1991; Zbl 0681.46013) Full Text: DOI
Beer, Gerald; Di Concilio, Anna Uniform continuity on bounded sets and the Attouch-Wets topology. (English) Zbl 0677.54007 Proc. Am. Math. Soc. 112, No. 1, 235-243 (1991). Reviewer: G.Beer MSC: 54B20 54A20 PDFBibTeX XMLCite \textit{G. Beer} and \textit{A. Di Concilio}, Proc. Am. Math. Soc. 112, No. 1, 235--243 (1991; Zbl 0677.54007) Full Text: DOI
Beer, Gerald A second look at set convergence and linear analysis. (English) Zbl 0774.46002 Rend. Semin. Mat. Fis. Milano 59, 161-172 (1989). MSC: 46A20 54A20 40A30 46B10 PDFBibTeX XMLCite \textit{G. Beer}, Rend. Semin. Mat. Fis. Milano 59, 161--172 (1991; Zbl 0774.46002) Full Text: DOI
Contesse, L.; Penot, J.-P. Continuity of the Fenchel correspondence and continuity of polarities. (English) Zbl 0772.46044 J. Math. Anal. Appl. 156, No. 2, 305-328 (1991). Reviewer: H.von Weizsäcker (Kaiserslautern) MSC: 46N10 46A55 49J52 PDFBibTeX XMLCite \textit{L. Contesse} and \textit{J. P. Penot}, J. Math. Anal. Appl. 156, No. 2, 305--328 (1991; Zbl 0772.46044) Full Text: DOI
Penot, Jean-Paul The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity. (English) Zbl 0774.54008 Proc. Am. Math. Soc. 113, No. 1, 275-285 (1991). MSC: 54B20 52A05 54A20 PDFBibTeX XMLCite \textit{J.-P. Penot}, Proc. Am. Math. Soc. 113, No. 1, 275--285 (1991; Zbl 0774.54008) Full Text: DOI
Beer, Gerald A second look at set convergence and linear analysis. (English) Zbl 0681.46002 Rend. Semin. Mat. Fis. Milano 59, 161-172 (1989). Reviewer: G.Beer MSC: 46A20 46B10 54A20 40A30 PDFBibTeX XMLCite \textit{G. Beer}, Rend. Semin. Mat. Fis. Milano 59, 161--172 (1990; Zbl 0681.46002) Full Text: DOI
Aze, D.; Volle, M. A stability result in quasi-convex programming. (English) Zbl 0687.90074 J. Optimization Theory Appl. 67, No. 1, 175-184 (1990). Reviewer: D.Aze MSC: 90C30 54C60 90C31 PDFBibTeX XMLCite \textit{D. Aze} and \textit{M. Volle}, J. Optim. Theory Appl. 67, No. 1, 175--184 (1990; Zbl 0687.90074) Full Text: DOI