Simon, Stéphane; Verovic, Patrick When is a Minkowski norm strictly sub-convex? (English) Zbl 07811220 J. Convex Anal. 31, No. 1, 139-178 (2024). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A07 52A05 PDFBibTeX XMLCite \textit{S. Simon} and \textit{P. Verovic}, J. Convex Anal. 31, No. 1, 139--178 (2024; Zbl 07811220) Full Text: arXiv Link
Nour, Chadi; Takche, Jean The extended exterior sphere condition. (English) Zbl 07811213 J. Convex Anal. 31, No. 1, 39-50 (2024). MSC: 49J52 52A20 93B27 PDFBibTeX XMLCite \textit{C. Nour} and \textit{J. Takche}, J. Convex Anal. 31, No. 1, 39--50 (2024; Zbl 07811213) Full Text: arXiv Link
You, Manxue; Li, Genghua Strong and total duality for constrained composed optimization via a coupling conjugation scheme. (English) Zbl 07808321 Optimization 73, No. 2, 267-294 (2024). MSC: 90C25 49N15 52A20 26B25 PDFBibTeX XMLCite \textit{M. You} and \textit{G. Li}, Optimization 73, No. 2, 267--294 (2024; Zbl 07808321) Full Text: DOI
Grzybowski, Jerzy; Kolassa, Robert Maximal pairs of convex sets and Zalgaller’s minimal representation of dc-functions. (English) Zbl 07761611 Optimization 72, No. 11, 2703-2719 (2023). MSC: 26B40 26B25 18E20 52A20 PDFBibTeX XMLCite \textit{J. Grzybowski} and \textit{R. Kolassa}, Optimization 72, No. 11, 2703--2719 (2023; Zbl 07761611) Full Text: DOI
De Bernardi, Carlo Alberto; Veselý, Libor Extendability of continuous quasiconvex functions from subspaces. (English) Zbl 1517.26009 J. Math. Anal. Appl. 526, No. 2, Article ID 127277, 12 p. (2023). MSC: 26B25 26E15 46A55 52A41 PDFBibTeX XMLCite \textit{C. A. De Bernardi} and \textit{L. Veselý}, J. Math. Anal. Appl. 526, No. 2, Article ID 127277, 12 p. (2023; Zbl 1517.26009) Full Text: DOI arXiv
De Bernardi, Carlo Alberto; Vesely, Libor Rotundity properties, and non-extendability of Lipschitz quasiconvex functions. (English) Zbl 1519.46051 J. Convex Anal. 30, No. 1, 329-342 (2023). Reviewer: Constantin Niculescu (Craiova) MSC: 46N10 46A55 52A05 52A99 26B25 PDFBibTeX XMLCite \textit{C. A. De Bernardi} and \textit{L. Vesely}, J. Convex Anal. 30, No. 1, 329--342 (2023; Zbl 1519.46051) Full Text: Link
Xu, Yingrang; Li, Shengjie Duality for minimization of the difference of two \(\Phi_c\)-convex functions. (English) Zbl 1524.49067 J. Ind. Manag. Optim. 19, No. 7, 5045-5059 (2023). MSC: 49N15 42A50 52A01 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{S. Li}, J. Ind. Manag. Optim. 19, No. 7, 5045--5059 (2023; Zbl 1524.49067) Full Text: DOI
Gorokhovik, Valentin V. Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions. (English) Zbl 1528.26015 Optimization 72, No. 1, 241-261 (2023). MSC: 26B25 26B40 49J52 49K27 52A01 PDFBibTeX XMLCite \textit{V. V. Gorokhovik}, Optimization 72, No. 1, 241--261 (2023; Zbl 1528.26015) Full Text: DOI arXiv
De Bernardi, Carlo Alberto; Veselý, Libor On extension of uniformly continuous quasiconvex functions. (English) Zbl 1523.26006 Proc. Am. Math. Soc. 151, No. 4, 1705-1716 (2023). Reviewer: Sorin-Mihai Grad (Paris) MSC: 26B25 46A55 52A05 52A99 PDFBibTeX XMLCite \textit{C. A. De Bernardi} and \textit{L. Veselý}, Proc. Am. Math. Soc. 151, No. 4, 1705--1716 (2023; Zbl 1523.26006) Full Text: DOI
Nour, Chadi; Takche, Jean \(S\)-convexity: the variable radius case. (English) Zbl 1509.49011 J. Convex Anal. 29, No. 4, 1167-1192 (2022). Reviewer: Ba Khiet Le (Ho Chi Minh City) MSC: 49J52 52A30 PDFBibTeX XMLCite \textit{C. Nour} and \textit{J. Takche}, J. Convex Anal. 29, No. 4, 1167--1192 (2022; Zbl 1509.49011) Full Text: Link
Wang, Xianfu; Bauschke, Heinz H. The Bregman proximal average. (English) Zbl 1501.49013 SIAM J. Optim. 32, No. 2, 1379-1401 (2022). MSC: 49J53 26B25 26E60 47H05 90C26 52A01 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. H. Bauschke}, SIAM J. Optim. 32, No. 2, 1379--1401 (2022; Zbl 1501.49013) Full Text: DOI arXiv
Grzybowski, Jerzy; Urbański, Ryszard Minimal pairs of convex sets which share a recession cone. (English) Zbl 1490.52005 SIAM J. Optim. 32, No. 2, 1049-1068 (2022). MSC: 52A20 18E20 26B25 PDFBibTeX XMLCite \textit{J. Grzybowski} and \textit{R. Urbański}, SIAM J. Optim. 32, No. 2, 1049--1068 (2022; Zbl 1490.52005) Full Text: DOI arXiv
Zaffaroni, A. Separation, convexity and polarity in the space of normlinear functions. (English) Zbl 1489.52002 Optimization 71, No. 4, 1213-1248 (2022). MSC: 52A07 PDFBibTeX XMLCite \textit{A. Zaffaroni}, Optimization 71, No. 4, 1213--1248 (2022; Zbl 1489.52002) Full Text: DOI
Grelier, G.; Raja, M. On uniformly convex functions. (English) Zbl 1506.46007 J. Math. Anal. Appl. 505, No. 1, Article ID 125442, 25 p. (2022). Reviewer: Vicente Montesinos (Valencia) MSC: 46B03 46N10 52A41 46B50 PDFBibTeX XMLCite \textit{G. Grelier} and \textit{M. Raja}, J. Math. Anal. Appl. 505, No. 1, Article ID 125442, 25 p. (2022; Zbl 1506.46007) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Convex analysis in normed spaces and metric projections onto convex bodies. (English) Zbl 1490.52007 J. Convex Anal. 28, No. 4, 1223-1248 (2021). Reviewer: T. D. Narang (Amritsar) MSC: 52A21 41A50 41A65 46B20 46G05 52A20 53C23 58C20 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 28, No. 4, 1223--1248 (2021; Zbl 1490.52007) Full Text: arXiv Link
Ushakov, V. N.; Ershov, A. A. On guaranteed estimates of the area of convex subsets of compact sets on the plane. (English. Russian original) Zbl 1480.52005 Autom. Remote Control 82, No. 11, 1976-1984 (2021); translation from Mat. Teor. Igr Prilozh. 12, No. 4, 112-126 (2020). MSC: 52A38 52A10 PDFBibTeX XMLCite \textit{V. N. Ushakov} and \textit{A. A. Ershov}, Autom. Remote Control 82, No. 11, 1976--1984 (2021; Zbl 1480.52005); translation from Mat. Teor. Igr Prilozh. 12, No. 4, 112--126 (2020) Full Text: DOI
Nielsen, Frank; Hadjeres, Gaëtan Quasiconvex Jensen divergences and quasiconvex Bregman divergences. (English) Zbl 1523.52014 Barbaresco, Frédéric (ed.) et al., Geometric structures of statistical physics, information geometry, and learning. Proceedings of the workshop on joint structures and common foundation of statistical physics, information geometry and inference for learning, SPIGL’20, Les Houches, France, July 27–31, 2020. Cham: Springer. Springer Proc. Math. Stat. 361, 196-218 (2021). MSC: 52A41 26B25 52A30 PDFBibTeX XMLCite \textit{F. Nielsen} and \textit{G. Hadjeres}, Springer Proc. Math. Stat. 361, 196--218 (2021; Zbl 1523.52014) Full Text: DOI arXiv
Fajardo, M. D.; Grad, S. M.; Vidal, J. New duality results for evenly convex optimization problems. (English) Zbl 1492.90193 Optimization 70, No. 9, 1837-1858 (2021). Reviewer: Pál Burai (Debrecen) MSC: 90C46 90C25 26B25 52A20 49N15 PDFBibTeX XMLCite \textit{M. D. Fajardo} et al., Optimization 70, No. 9, 1837--1858 (2021; Zbl 1492.90193) Full Text: DOI arXiv
Nguyen, Bao Tran; Khanh, Pham Duy Lipschitz continuity of convex functions. (English) Zbl 1480.26001 Appl. Math. Optim. 84, No. 2, 1623-1640 (2021). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26A16 46N10 52A41 PDFBibTeX XMLCite \textit{B. T. Nguyen} and \textit{P. D. Khanh}, Appl. Math. Optim. 84, No. 2, 1623--1640 (2021; Zbl 1480.26001) Full Text: DOI arXiv
Stenger, Jérôme; Gamboa, Fabrice; Keller, Merlin Optimization of quasi-convex function over product measure sets. (English) Zbl 1469.46004 SIAM J. Optim. 31, No. 1, 425-447 (2021). MSC: 46A55 46E27 60B11 62P30 52A40 PDFBibTeX XMLCite \textit{J. Stenger} et al., SIAM J. Optim. 31, No. 1, 425--447 (2021; Zbl 1469.46004) Full Text: DOI arXiv
Ushakov, V. N.; Ershov, A. A. Estimation of the growth of the degree of nonconvexity of reachable sets in terms of \(\alpha\)-sets. (English. Russian original) Zbl 1481.52001 Dokl. Math. 102, No. 3, 532-537 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 100-106 (2020). MSC: 52A01 52A20 93B03 PDFBibTeX XMLCite \textit{V. N. Ushakov} and \textit{A. A. Ershov}, Dokl. Math. 102, No. 3, 532--537 (2020; Zbl 1481.52001); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 100--106 (2020) Full Text: DOI
Fajardo, M. D.; Vidal, J. \(e^{\prime }\)-convex sets and functions: properties and characterizations. (English) Zbl 1465.52015 Vietnam J. Math. 48, No. 3, 407-423 (2020). Reviewer: Flavia-Corina Mitroi-Symeonidis (Bucureşti) MSC: 52A20 26B25 90C25 PDFBibTeX XMLCite \textit{M. D. Fajardo} and \textit{J. Vidal}, Vietnam J. Math. 48, No. 3, 407--423 (2020; Zbl 1465.52015) Full Text: DOI
Ershov, Aleksandr Anatol’evich; Kuvshinov, Oleg Aleksandrovich On properties of intersection of \(\alpha \)-sets. (Russian. English summary) Zbl 1457.52002 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 79-92 (2020). MSC: 52A01 11H16 PDFBibTeX XMLCite \textit{A. A. Ershov} and \textit{O. A. Kuvshinov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 79--92 (2020; Zbl 1457.52002) Full Text: DOI MNR
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M. Starshaped sets. (English) Zbl 1454.52001 Aequationes Math. 94, No. 6, 1001-1092 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52-02 52A30 PDFBibTeX XMLCite \textit{G. Hansen} et al., Aequationes Math. 94, No. 6, 1001--1092 (2020; Zbl 1454.52001) Full Text: DOI
Ivanov, Milen; Zlateva, Nadia Barrier functions in subdifferential theory. (English) Zbl 1455.49010 J. Convex Anal. 27, No. 4, 1091-1098 (2020). Reviewer: Chadi Nour (Byblos) MSC: 49J52 47H05 52A41 PDFBibTeX XMLCite \textit{M. Ivanov} and \textit{N. Zlateva}, J. Convex Anal. 27, No. 4, 1091--1098 (2020; Zbl 1455.49010) Full Text: arXiv Link
Goberna, Miguel A.; Rodríguez, Margarita M. L.; Vicente-Pérez, José Evenly convex sets, and evenly quasiconvex functions, revisited. (English) Zbl 1490.49024 J. Nonlinear Var. Anal. 4, No. 2, 189-206 (2020). Reviewer: Nicolas Hadjisavvas (Ermoupoli) MSC: 49N15 26B25 52A05 90C25 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., J. Nonlinear Var. Anal. 4, No. 2, 189--206 (2020; Zbl 1490.49024) Full Text: DOI
Marinov, A. V. Characterization of bounded sets in terms of asymptotic cones and homotheties. (English. Russian original) Zbl 1442.49028 Math. Notes 107, No. 5, 791-803 (2020); translation from Mat. Zametki 107, No. 5, 717-733 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 49K27 49J53 52A20 PDFBibTeX XMLCite \textit{A. V. Marinov}, Math. Notes 107, No. 5, 791--803 (2020; Zbl 1442.49028); translation from Mat. Zametki 107, No. 5, 717--733 (2020) Full Text: DOI
Li, Minghua; Meng, Kaiwen; Yang, Xiaoqi On far and near ends of closed and convex sets. (English) Zbl 1439.52004 J. Convex Anal. 27, No. 2, 407-421 (2020). MSC: 52A10 52A15 52A20 52A99 49J52 49J53 PDFBibTeX XMLCite \textit{M. Li} et al., J. Convex Anal. 27, No. 2, 407--421 (2020; Zbl 1439.52004) Full Text: Link
Gorokhovik, Valentin Vikent’evich; Tykun, Aleksandr Stanislavovich Support points of lower semicontinuous functions with respect to the set of Lipschitz concave functions. (Russian. English summary) Zbl 1524.49026 Dokl. Nats. Akad. Nauk Belarusi 63, No. 6, 647-653 (2019). MSC: 49J52 26B25 46T20 52A41 PDFBibTeX XMLCite \textit{V. V. Gorokhovik} and \textit{A. S. Tykun}, Dokl. Nats. Akad. Nauk Belarusi 63, No. 6, 647--653 (2019; Zbl 1524.49026) Full Text: Link
Sprung, Benjamin Upper and lower bounds for the Bregman divergence. (English) Zbl 1499.46006 J. Inequal. Appl. 2019, Paper No. 4, 12 p. (2019). MSC: 46A03 46B25 46B20 52A40 PDFBibTeX XMLCite \textit{B. Sprung}, J. Inequal. Appl. 2019, Paper No. 4, 12 p. (2019; Zbl 1499.46006) Full Text: DOI arXiv
Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich; Pershakov, Maksim Vadimovich On one addition to evaluation by L. S. Pontryagin of the geometric difference of sets in a plane. (Russian. English summary) Zbl 1452.52001 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 54, 63-73 (2019). MSC: 52A01 11H16 PDFBibTeX XMLCite \textit{V. N. Ushakov} et al., Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 54, 63--73 (2019; Zbl 1452.52001) Full Text: DOI MNR
Voisei, M. D. Location, identification, and representability of monotone operators in locally convex spaces. (English) Zbl 07058441 Set-Valued Var. Anal. 27, No. 1, 151-168 (2019). MSC: 47H05 52A41 46T99 PDFBibTeX XMLCite \textit{M. D. Voisei}, Set-Valued Var. Anal. 27, No. 1, 151--168 (2019; Zbl 07058441) Full Text: DOI arXiv
Cabot, A.; Jourani, A.; Thibault, L. Envelopes for sets and functions. II: Generalized polarity and conjugacy. (English) Zbl 1459.46069 J. Nonlinear Convex Anal. 19, No. 8, 1297-1318 (2018). Reviewer: Sorin-Mihai Grad (Wien) MSC: 46N10 52A41 PDFBibTeX XMLCite \textit{A. Cabot} et al., J. Nonlinear Convex Anal. 19, No. 8, 1297--1318 (2018; Zbl 1459.46069) Full Text: Link
Balashov, Maxim V.; Ivanov, Grigorii E. The farthest and the nearest points of sets. (English) Zbl 1411.41021 J. Convex Anal. 25, No. 3, 1019-1031 (2018). Reviewer: Sumit Chandok (Patiala) MSC: 41A50 41A65 52A21 PDFBibTeX XMLCite \textit{M. V. Balashov} and \textit{G. E. Ivanov}, J. Convex Anal. 25, No. 3, 1019--1031 (2018; Zbl 1411.41021) Full Text: Link
Ernst, Emil Apart sets and functions: an application to the stability of penalized optimization problems. (English) Zbl 1391.49061 Vietnam J. Math. 46, No. 2, 343-358 (2018). MSC: 49M30 49N15 52A20 PDFBibTeX XMLCite \textit{E. Ernst}, Vietnam J. Math. 46, No. 2, 343--358 (2018; Zbl 1391.49061) Full Text: DOI
Borwein, Jonathan M.; Giladi, Ohad Convex analysis in groups and semigroups: a sampler. (English) Zbl 1392.49007 Math. Program. 168, No. 1-2 (B), 11-53 (2018). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 49J27 46N10 52A01 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{O. Giladi}, Math. Program. 168, No. 1--2 (B), 11--53 (2018; Zbl 1392.49007) Full Text: DOI arXiv
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
Lucchetti, Roberto; Milasi, Monica Approximating quasiconvex functions with strictly quasiconvex ones in Banach space. (English) Zbl 1376.26010 Set-Valued Var. Anal. 25, No. 3, 591-602 (2017). MSC: 26A51 52A27 PDFBibTeX XMLCite \textit{R. Lucchetti} and \textit{M. Milasi}, Set-Valued Var. Anal. 25, No. 3, 591--602 (2017; Zbl 1376.26010) Full Text: DOI
Cabot, A.; Jourani, A.; Thibault, L. Envelopes for sets and functions: regularization and generalized conjugacy. (English) Zbl 1376.52018 Mathematika 63, No. 2, 383-432 (2017). MSC: 52A41 49J53 41A65 PDFBibTeX XMLCite \textit{A. Cabot} et al., Mathematika 63, No. 2, 383--432 (2017; Zbl 1376.52018) Full Text: DOI
Hoang, Nguyen Hopf-Lax formula and generalized characteristics. (English) Zbl 1362.35091 Appl. Anal. 96, No. 2, 261-277 (2017). MSC: 35D40 35F21 35E10 52A41 PDFBibTeX XMLCite \textit{N. Hoang}, Appl. Anal. 96, No. 2, 261--277 (2017; Zbl 1362.35091) Full Text: DOI arXiv Link
Abdelhakim, Ahmed A. A convexity of functions on convex metric spaces of Takahashi and applications. (English) Zbl 1342.26028 J. Egypt. Math. Soc. 24, No. 3, 348-354 (2016). MSC: 26A51 52A01 46N10 47N10 PDFBibTeX XMLCite \textit{A. A. Abdelhakim}, J. Egypt. Math. Soc. 24, No. 3, 348--354 (2016; Zbl 1342.26028) Full Text: DOI arXiv
Fajardo, María D.; Rodríguez, Margarita M. L.; Vidal, José Lagrange duality for evenly convex optimization problems. (English) Zbl 1365.90198 J. Optim. Theory Appl. 168, No. 1, 109-128 (2016). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 90C25 52A20 26B25 90C46 PDFBibTeX XMLCite \textit{M. D. Fajardo} et al., J. Optim. Theory Appl. 168, No. 1, 109--128 (2016; Zbl 1365.90198) Full Text: DOI
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
Guillaume, Sophie; Volle, Michel Level sets relaxation, epigraphical relaxation and conditioning in optimization. (English) Zbl 1327.49023 Positivity 19, No. 4, 769-795 (2015). MSC: 49J45 49J27 49K27 49N15 49K40 52A01 26B25 PDFBibTeX XMLCite \textit{S. Guillaume} and \textit{M. Volle}, Positivity 19, No. 4, 769--795 (2015; Zbl 1327.49023) Full Text: DOI
Grzybowski, Jerzy; Küçük, Mahide; Küçük, Yalçın; Urbański, Ryszard On minimal representations by a family of sublinear functions. (English) Zbl 1335.46065 J. Glob. Optim. 61, No. 2, 279-289 (2015). MSC: 46N10 52A05 54B20 PDFBibTeX XMLCite \textit{J. Grzybowski} et al., J. Glob. Optim. 61, No. 2, 279--289 (2015; Zbl 1335.46065) Full Text: DOI
Frittelli, Marco; Maggis, Marco Conditionally evenly convex sets and evenly quasi-convex maps. (English) Zbl 1328.46007 J. Math. Anal. Appl. 413, No. 1, 169-184 (2014). Reviewer: Rita Pini (Milano) MSC: 46A55 91B30 91G80 52A07 PDFBibTeX XMLCite \textit{M. Frittelli} and \textit{M. Maggis}, J. Math. Anal. Appl. 413, No. 1, 169--184 (2014; Zbl 1328.46007) Full Text: DOI arXiv
Jourani, Abderrahim; Zakaryan, Taron The validity of the “\(\liminf\)” formula and a characterization of Asplund spaces. (English) Zbl 1336.49019 J. Math. Anal. Appl. 416, No. 2, 824-838 (2014). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 49J52 46G05 46B20 46A17 46A55 52A07 PDFBibTeX XMLCite \textit{A. Jourani} and \textit{T. Zakaryan}, J. Math. Anal. Appl. 416, No. 2, 824--838 (2014; Zbl 1336.49019) Full Text: DOI
Aragón Artacho, Francisco J.; Borwein, Jonathan M.; Martín-Márquez, Victoria; Yao, Liangjin Applications of convex analysis within mathematics. (English) Zbl 1306.47058 Math. Program. 148, No. 1-2 (B), 49-88 (2014). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 47H05 26E15 52A41 47A06 47B65 90C25 47N10 47-02 PDFBibTeX XMLCite \textit{F. J. Aragón Artacho} et al., Math. Program. 148, No. 1--2 (B), 49--88 (2014; Zbl 1306.47058) Full Text: DOI arXiv
Cabot, A.; Thibault, L. Sequential formulae for the normal cone to sublevel sets. (English) Zbl 1302.90147 Trans. Am. Math. Soc. 366, No. 12, 6591-6628 (2014). MSC: 90C25 52A41 49J52 34A60 PDFBibTeX XMLCite \textit{A. Cabot} and \textit{L. Thibault}, Trans. Am. Math. Soc. 366, No. 12, 6591--6628 (2014; Zbl 1302.90147) Full Text: DOI
Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M. Some criteria for maximal abstract monotonicity. (English) Zbl 1262.47076 J. Glob. Optim. 53, No. 2, 137-163 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47H05 47H04 52A01 26A51 26B25 PDFBibTeX XMLCite \textit{H. Mohebi} et al., J. Glob. Optim. 53, No. 2, 137--163 (2012; Zbl 1262.47076) Full Text: DOI Link
Bartz, Sedi; Reich, Simeon Abstract convex optimal antiderivatives. (English) Zbl 1259.47064 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 435-454 (2012). Reviewer: Rita Pini (Milano) MSC: 47H04 47H05 49N15 52A01 PDFBibTeX XMLCite \textit{S. Bartz} and \textit{S. Reich}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 435--454 (2012; Zbl 1259.47064) Full Text: DOI arXiv
Bačák, Miroslav; Borwein, Jonathan M. On difference convexity of locally Lipschitz functions. (English) Zbl 1237.46007 Optimization 60, No. 7-9, 961-978 (2011). MSC: 46B99 52A41 46N10 PDFBibTeX XMLCite \textit{M. Bačák} and \textit{J. M. Borwein}, Optimization 60, No. 7--9, 961--978 (2011; Zbl 1237.46007) Full Text: DOI
Bartz, Sedi; Reich, Simeon Minimal antiderivatives and monotonicity. (English) Zbl 1251.47046 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 59-66 (2011). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 52A41 90C25 PDFBibTeX XMLCite \textit{S. Bartz} and \textit{S. Reich}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 59--66 (2011; Zbl 1251.47046) Full Text: DOI
Voisei, M. D.; Zălinescu, C. Linear monotone subspaces of locally convex spaces. (English) Zbl 1192.47047 Set-Valued Var. Anal. 18, No. 1, 29-55 (2010). MSC: 47H05 47A06 26B25 52A41 PDFBibTeX XMLCite \textit{M. D. Voisei} and \textit{C. Zălinescu}, Set-Valued Var. Anal. 18, No. 1, 29--55 (2010; Zbl 1192.47047) Full Text: DOI arXiv
Eberhard, A. C.; Mohebi, Hossein Maximal abstract monotonicity and generalized Fenchel’s conjugation formulas. (English) Zbl 1218.47072 Set-Valued Var. Anal. 18, No. 1, 79-108 (2010). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47H05 52A01 26A51 PDFBibTeX XMLCite \textit{A. C. Eberhard} and \textit{H. Mohebi}, Set-Valued Var. Anal. 18, No. 1, 79--108 (2010; Zbl 1218.47072) Full Text: DOI
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin Autoconjugate representers for linear monotone operators. (English) Zbl 1185.47050 Math. Program. 123, No. 1 (B), 5-24 (2010). MSC: 47H05 47N10 52A41 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 123, No. 1 (B), 5--24 (2010; Zbl 1185.47050) Full Text: DOI arXiv
Voisei, M. D.; Zălinescu, C. Maximal monotonicity criteria for the composition and the sum under weak interiority conditions. (English) Zbl 1182.47040 Math. Program. 123, No. 1 (B), 265-283 (2010). MSC: 47H05 26B25 52A41 PDFBibTeX XMLCite \textit{M. D. Voisei} and \textit{C. Zălinescu}, Math. Program. 123, No. 1 (B), 265--283 (2010; Zbl 1182.47040) Full Text: DOI
Pastor, Karel Characterization of strict convexity for locally Lipschitz functions. (English) Zbl 1192.49019 Rocky Mt. J. Math. 39, No. 6, 2029-2049 (2009). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 47H05 52A41 58C05 58C06 58C20 26B25 PDFBibTeX XMLCite \textit{K. Pastor}, Rocky Mt. J. Math. 39, No. 6, 2029--2049 (2009; Zbl 1192.49019) Full Text: DOI
Bauschke, Heinz H.; Wang, Xianfu The kernel average for two convex functions and its application to the extension and representation of monotone operators. (English) Zbl 1189.47051 Trans. Am. Math. Soc. 361, No. 11, 5947-5965 (2009). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 47H05 52A41 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{X. Wang}, Trans. Am. Math. Soc. 361, No. 11, 5947--5965 (2009; Zbl 1189.47051) Full Text: DOI
Hamel, Andreas H. A duality theory for set-valued functions. I: Fenchel conjugation theory. (English) Zbl 1168.49031 Set-Valued Var. Anal. 17, No. 2, 153-182 (2009). MSC: 49N15 52A41 49J53 PDFBibTeX XMLCite \textit{A. H. Hamel}, Set-Valued Var. Anal. 17, No. 2, 153--182 (2009; Zbl 1168.49031) Full Text: DOI
Borwein, J.; Guirao, A. J.; Hájek, P.; Vanderwerff, J. Uniformly convex functions on Banach spaces. (English) Zbl 1184.52009 Proc. Am. Math. Soc. 137, No. 3, 1081-1091 (2009). Reviewer: Massimiliano Ferrara (Reggio Calabria) MSC: 52A41 46G05 46N10 49J50 90C25 PDFBibTeX XMLCite \textit{J. Borwein} et al., Proc. Am. Math. Soc. 137, No. 3, 1081--1091 (2009; Zbl 1184.52009) Full Text: DOI
Ivanov, Vsevolod I. On the functions with pseudoconvex sublevel sets and optimality conditions. (English) Zbl 1303.49011 J. Math. Anal. Appl. 345, No. 2, 964-974 (2008). MSC: 49K10 49J52 52A41 PDFBibTeX XMLCite \textit{V. I. Ivanov}, J. Math. Anal. Appl. 345, No. 2, 964--974 (2008; Zbl 1303.49011) Full Text: DOI
Martínez-Legaz, J.-E.; Svaiter, B. F. Minimal convex functions bounded below by the duality product. (English) Zbl 1133.47040 Proc. Am. Math. Soc. 136, No. 3, 873-878 (2008). Reviewer: Sergei V. Rogosin (Minsk) MSC: 47H05 26B25 52A41 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{B. F. Svaiter}, Proc. Am. Math. Soc. 136, No. 3, 873--878 (2008; Zbl 1133.47040) Full Text: DOI
Boţ, R. I.; Grad, S. M.; Wanka, G. Fenchel’s duality theorem for nearly convex functions. (English) Zbl 1165.90022 J. Optim. Theory Appl. 132, No. 3, 509-515 (2007). Reviewer: Gerhard-Wilhelm Weber (Ankara) with Basak Akteke Öztürk, Gülser Köksal and Selma Belen MSC: 90C30 90C46 49J52 52A41 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., J. Optim. Theory Appl. 132, No. 3, 509--515 (2007; Zbl 1165.90022) Full Text: DOI
Zaffaroni, Alberto Superlinear separation for radiant and coradiant sets. (English) Zbl 1121.52003 Optimization 56, No. 1-2, 267-285 (2007). MSC: 52A07 52A30 PDFBibTeX XMLCite \textit{A. Zaffaroni}, Optimization 56, No. 1--2, 267--285 (2007; Zbl 1121.52003) Full Text: DOI
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
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. (English) Zbl 1119.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1198-1223 (2007). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 47H05 52A41 47N10 49J53 90C25 PDFBibTeX XMLCite \textit{S. Bartz} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1198--1223 (2007; Zbl 1119.47050) Full Text: DOI
Penot, Jean-Paul; Zălinescu, Constantin Some problems about the representation of monotone operators by convex functions. (English) Zbl 1091.47042 ANZIAM J. 47, No. 1, 1-20 (2005). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 47H05 52A41 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, ANZIAM J. 47, No. 1, 1--20 (2005; Zbl 1091.47042) Full Text: DOI
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 The relevance of convex analysis for the study of monotonicity. (English) Zbl 1078.47008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 7-8, 855-871 (2004). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 47H05 52A41 52A07 47H04 26E25 PDFBibTeX XMLCite \textit{J.-P. Penot}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 7--8, 855--871 (2004; Zbl 1078.47008) Full Text: DOI
Akian, Marianne; Singer, Ivan Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. (English) Zbl 1049.06014 Optimization 52, No. 6, 629-672 (2003). Reviewer: Rita Pini (Milano) MSC: 06F30 06F15 06B35 52A01 PDFBibTeX XMLCite \textit{M. Akian} and \textit{I. Singer}, Optimization 52, No. 6, 629--672 (2003; Zbl 1049.06014) Full Text: DOI
Penot, Jean-Paul Autoconjugate functions and representations of monotone operators. (English) Zbl 1044.47040 Bull. Aust. Math. Soc. 67, No. 2, 277-284 (2003). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 47H05 52A01 PDFBibTeX XMLCite \textit{J.-P. Penot}, Bull. Aust. Math. Soc. 67, No. 2, 277--284 (2003; Zbl 1044.47040) Full Text: DOI
Goberna, Miguel A.; Jornet, Valentín; Rodríguez, Margarita M. L. On linear systems containing strict inequalities. (English) Zbl 1019.15003 Linear Algebra Appl. 360, 151-171 (2003). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A39 90C34 52A40 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., Linear Algebra Appl. 360, 151--171 (2003; Zbl 1019.15003) Full Text: DOI
Daniilidis, A.; Martinez-Legaz, J.-E. Characterizations of evenly convex sets and evenly quasiconvex functions. (English) Zbl 1019.52001 J. Math. Anal. Appl. 273, No. 1, 58-66 (2002). Reviewer: Frank Plastria (Brussel) MSC: 52A07 26B25 PDFBibTeX XMLCite \textit{A. Daniilidis} and \textit{J. E. Martinez-Legaz}, J. Math. Anal. Appl. 273, No. 1, 58--66 (2002; Zbl 1019.52001) Full Text: DOI
Rubinov, A. M. Abstract convexity: Examples and applications. (English) Zbl 0963.49014 Optimization 47, No. 1-2, 1-33 (2000). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 49J52 26B25 90C25 52A41 49N15 90C46 PDFBibTeX XMLCite \textit{A. M. Rubinov}, Optimization 47, No. 1--2, 1--33 (2000; Zbl 0963.49014) 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
Dinh The Luc Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization. (English) Zbl 0861.52002 Proc. Am. Math. Soc. 125, No. 2, 555-567 (1997). MSC: 52A20 90C31 PDFBibTeX XMLCite \textit{Dinh The Luc}, Proc. Am. Math. Soc. 125, No. 2, 555--567 (1997; Zbl 0861.52002) Full Text: DOI
Park, Sehie Fixed points of approximable maps. (English) Zbl 0860.47042 Proc. Am. Math. Soc. 124, No. 10, 3109-3114 (1996). MSC: 47H10 47J20 54C60 54H25 49J35 49K35 52A07 55M20 PDFBibTeX XMLCite \textit{S. Park}, Proc. Am. Math. Soc. 124, No. 10, 3109--3114 (1996; Zbl 0860.47042) 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
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
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, Dominique; Penot, Jean-Paul The Joly topology and the Mosco-Beer topology revisited. (English) Zbl 0822.46084 Bull. Aust. Math. Soc. 48, No. 3, 353-363 (1993). MSC: 46N10 46A55 26B25 54B20 54A10 52A05 PDFBibTeX XMLCite \textit{D. Azé} and \textit{J.-P. Penot}, Bull. Aust. Math. Soc. 48, No. 3, 353--363 (1993; Zbl 0822.46084) 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 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
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
Sterna-Karwat, Alicia Approximating families of cones and proper efficiency in vector optimization. (English) Zbl 0683.90086 Optimization 20, No. 6, 809-817 (1989). MSC: 90C31 52A20 PDFBibTeX XMLCite \textit{A. Sterna-Karwat}, Optimization 20, No. 6, 809--817 (1989; Zbl 0683.90086) Full Text: DOI
Zălinescu, C. Solvability results for sublinear functions and operators. (English) Zbl 0695.49009 Z. Oper. Res., Ser. A 31, 79-101 (1987). Reviewer: A.Kusraev MSC: 49K27 52A07 90C48 PDFBibTeX XMLCite \textit{C. Zălinescu}, Z. Oper. Res., Ser. A 31, 79--101 (1987; Zbl 0695.49009) Full Text: DOI
Thibault, Lionel V-subdifferentials of convex operators. (English) Zbl 0594.49009 J. Math. Anal. Appl. 115, 442-460 (1986). Reviewer: K.Zimmermann MSC: 49J50 46G05 90C30 26E15 26E20 46A55 49J45 52A07 PDFBibTeX XMLCite \textit{L. Thibault}, J. Math. Anal. Appl. 115, 442--460 (1986; Zbl 0594.49009) Full Text: DOI
Borwein, J. M. Stability and regular points of inequality systems. (English) Zbl 0557.49020 J. Optimization Theory Appl. 48, 9-52 (1986). MSC: 93D99 52A40 58C20 46G05 49K40 49J50 90C30 PDFBibTeX XMLCite \textit{J. M. Borwein}, J. Optim. Theory Appl. 48, 9--52 (1986; Zbl 0557.49020) Full Text: DOI
Borwein, J. M.; Strojwas, H. M. Tangential approximations. (English) Zbl 0613.49016 Nonlinear Anal., Theory Methods Appl. 9, 1347-1366 (1985). Reviewer: M.Studniarski MSC: 49J52 46A03 46A50 52A99 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{H. M. Strojwas}, Nonlinear Anal., Theory Methods Appl. 9, 1347--1366 (1985; Zbl 0613.49016) Full Text: DOI
Watkins, G. G. Clarke’s tangent vectors as tangents to Lipschitz continuous curves. (English) Zbl 0535.90073 J. Optimization Theory Appl. 45, 325-334 (1985). MSC: 90C25 52Bxx 58C20 52A20 PDFBibTeX XMLCite \textit{G. G. Watkins}, J. Optim. Theory Appl. 45, 325--334 (1985; Zbl 0535.90073) Full Text: DOI
Gorokhovik, V. V. Quasidifferentiability of real-valued functions and local extremum conditions. (English. Russian original) Zbl 0569.49005 Sib. Math. J. 25, 388-395 (1984); translation from Sib. Mat. Zh. 25, No. 3(145), 62-70 (1984). MSC: 49J50 26B05 49K10 90C25 90C30 58C20 26B35 52A20 PDFBibTeX XMLCite \textit{V. V. Gorokhovik}, Sib. Math. J. 25, 388--395 (1984; Zbl 0569.49005); translation from Sib. Mat. Zh. 25, No. 3(145), 62--70 (1984) Full Text: DOI
Pourciau, B. H. Multiplier rules and the separation of convex sets. (English) Zbl 0494.90084 J. Optimization Theory Appl. 40, 321-331 (1983). MSC: 90C48 52A40 52A20 PDFBibTeX XMLCite \textit{B. H. Pourciau}, J. Optim. Theory Appl. 40, 321--331 (1983; Zbl 0494.90084) Full Text: DOI
Pourciau, B. H. On the Caratheodory-John multiplier rule. (English) Zbl 0486.49018 J. Math. Anal. Appl. 87, 373-381 (1982). MSC: 49M37 26B10 52A20 90C30 49J10 49K10 PDFBibTeX XMLCite \textit{B. H. Pourciau}, J. Math. Anal. Appl. 87, 373--381 (1982; Zbl 0486.49018) Full Text: DOI