Song, Yingkai; Khan, Kamil A. Computing subgradients of convex relaxations for solutions of parametric ordinary differential equations. (English) Zbl 07965417 Optim. Methods Softw. 39, No. 6, 1309-1351 (2024). MSC: 90C26 49M20 49J52 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyễn, Minh Tùng; Phạm, Tiến-Sơn Clarke’s tangent cones, subgradients, optimality conditions, and the Lipschitzness at infinity. (English) Zbl 1539.49015 SIAM J. Optim. 34, No. 2, 1732-1754 (2024). MSC: 49J52 49J53 90C30 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Toan, N. T.; Thuy, L. Q. Differential stability in a multi-objective optimal control problems with a possibly empty solution set. (English) Zbl 1533.49020 Acta Math. Vietnam. 48, No. 4, 691-707 (2023). Reviewer: Tullio Zolezzi (Genova) MSC: 49K40 49J53 90C31 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Zaslavski, Alexander J. Superiorization technique with a projected subgradient method for games. (English) Zbl 1527.91005 Pure Appl. Funct. Anal. 8, No. 4, 1211-1221 (2023). MSC: 91A06 90C25 90C30 65K10 × Cite Format Result Cite Review PDF Full Text: Link
Dentcheva, Darinka; Ruszczyński, Andrzej Mini-batch risk forms. (English) Zbl 1519.90133 SIAM J. Optim. 33, No. 2, 615-637 (2023). MSC: 90C15 90C48 49J52 60F99 × Cite Format Result Cite Review PDF Full Text: DOI
Toan, N. T.; Thuy, L. Q.; Kim, D. S. Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map. (English) Zbl 1498.49042 J. Comput. Appl. Math. 418, Article ID 114662, 19 p. (2023). MSC: 49K40 49J50 49Q12 90C29 93C55 93C73 × Cite Format Result Cite Review PDF Full Text: DOI
Van Cuong, Dang; Mordukhovich, Boris S.; Nam, Nguyen Mau; Cartmell, Addison Algebraic core and convex calculus without topology. (English) Zbl 1491.52003 Optimization 71, No. 2, 309-335 (2022). Reviewer: Ugur Sengul (İstanbul) MSC: 52A07 90C25 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuong, Dang Van; Mordukhovich, Boris S.; Nam, Nguyen Mau Extremal systems of convex sets with applications to convex calculus in vector spaces. (English) Zbl 1486.49021 Pure Appl. Funct. Anal. 6, No. 6, 1139-1155 (2021). Reviewer: Mircea Balaj (Oradea) MSC: 49J52 49J53 90C31 52A07 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Rockafellar, R. Tyrrell Characterizing firm nonexpansiveness of prox mappings both locally and globally. (English) Zbl 1490.46072 J. Nonlinear Convex Anal. 22, No. 5, 887-899 (2021). Reviewer: Rita Pini (Milano) MSC: 46N10 49J53 × Cite Format Result Cite Review PDF Full Text: Link
Bagirov, A. M.; Hoseini Monjezi, N.; Taheri, S. An augmented subgradient method for minimizing nonsmooth DC functions. (English) Zbl 1478.90094 Comput. Optim. Appl. 80, No. 2, 411-438 (2021). MSC: 90C26 49J52 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Kamil A.; Yuan, Yingwei Constructing a subgradient from directional derivatives for functions of two variables. (English) Zbl 1544.49010 J. Nonsmooth Anal. Optim. 1, Article ID 6061, 16 p. (2020). MSC: 49J52 26B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doagooei, Ali Reza Generalized cutting plane method for solving nonlinear stochastic programming problems. (English) Zbl 1453.90126 Optimization 69, No. 7-8, 1751-1771 (2020). MSC: 90C26 90C15 26B25 × Cite Format Result Cite Review PDF Full Text: DOI
Chill, Ralph; Warma, Mahamadi Corrigendum to: “Dirichlet and Neumann boundary conditions for the \(p\)-Laplace operator: what is in between?”. (English) Zbl 1471.35188 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1689-1691 (2019). MSC: 35K92 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hertlein, Lukas; Ulbrich, Michael An inexact bundle algorithm for nonconvex nonsmooth minimization in Hilbert space. (English) Zbl 1461.49041 SIAM J. Control Optim. 57, No. 5, 3137-3165 (2019). MSC: 49M37 49J52 49K20 65K05 90C26 90C56 × Cite Format Result Cite Review PDF Full Text: DOI
Duchi, John C. Introductory lectures on stochastic optimization. (English) Zbl 1448.68005 Mahoney, Michael W. (ed.) et al., The mathematics of data. Lecture notes from the 26th IAS/Park City Mathematics Institute (PCMI) Summer School, Park City, UT, USA, July 2016. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). IAS/Park City Math. Ser. 25, 99-185 (2018). MSC: 68-01 62C20 65K10 68T09 90C15 90C25 × Cite Format Result Cite Review PDF
Mordukhovich, B. S.; Nghia, T. T. A.; Pham, D. T. Full stability of general parametric variational systems. (English) Zbl 1406.49011 Set-Valued Var. Anal. 26, No. 4, 911-946 (2018). MSC: 49J40 49J53 49J52 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zagrodny, Dariusz The strong convergence of subgradients of convex functions along directions: perspectives and open problems. (English) Zbl 1402.49015 J. Optim. Theory Appl. 178, No. 2, 660-671 (2018). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J52 52A41 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Zagrodny, Dariusz On the strong convergence of subgradients of convex functions. (English) Zbl 1394.49016 J. Optim. Theory Appl. 178, No. 2, 411-423 (2018). MSC: 49J52 52A41 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Stetsyuk, P. I. Theory and software implementations of Shor’s \(r\)-algorithms. (English. Russian original) Zbl 1382.65181 Cybern. Syst. Anal. 53, No. 5, 692-703 (2017); translation from Kibern. Sist. Anal. 2017, No. 5, 43-57 (2017). MSC: 65K05 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Mordukhovich, B. S.; Nam, N. M.; Rector, R. B.; Tran, T. Variational geometric approach to generalized differential and conjugate calculi in convex analysis. (English) Zbl 1392.49019 Set-Valued Var. Anal. 25, No. 4, 731-755 (2017). Reviewer: Do Van Luu (Hanoi) MSC: 49J52 49J53 90C31 49J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liebrich, Felix-Benedikt; Svindland, Gregor Model spaces for risk measures. (English) Zbl 1422.91782 Insur. Math. Econ. 77, 150-165 (2017). MSC: 91G70 91B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shuai; Qiu, Zhirong; Xie, Lihua Convergence rate analysis of distributed optimization with projected subgradient algorithm. (English) Zbl 1373.93023 Automatica 83, 162-169 (2017). MSC: 93A14 93B40 × Cite Format Result Cite Review PDF Full Text: DOI
Moosaei, Hossein; Ketabchi, Saeed; Pardalos, Panos M. Tikhonov regularization for infeasible absolute value equations. (English) Zbl 1346.90688 Optimization 65, No. 8, 1531-1537 (2016). MSC: 90C26 90C22 90C32 15A39 × Cite Format Result Cite Review PDF Full Text: DOI
Chieu, N. H.; Kien, B. T.; Toan, N. T. Further results on subgradients of the value function to a parametric optimal control problem. (English) Zbl 1342.49020 J. Optim. Theory Appl. 168, No. 3, 785-801 (2016). MSC: 49J52 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Chill, Ralph; Hauer, Daniel; Kennedy, James Nonlinear semigroups generated by \(j\)-elliptic functionals. (English. French summary) Zbl 1332.47031 J. Math. Pures Appl. (9) 105, No. 3, 415-450 (2016). MSC: 47H20 37L05 35A15 34G25 47H05 58J70 47N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Huerga, Lidia; Gutiérrez, César; Jiménez, Bienvenido; Novo, Vicente Approximation of weak efficient solutions in vector optimization. (English) Zbl 1370.90243 Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in information systems and management sciences. Proceedings of the 3rd international conference on modelling, computation and optimization in information systems and management sciences, MCO 2015, Lorraine, France, May 11–13, 2015. Part I. Cham: Springer (ISBN 978-3-319-18160-8/pbk; 978-3-319-18161-5/ebook). Advances in Intelligent Systems and Computing 359, 481-489 (2015). MSC: 90C29 49J52 90C48 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Toan, Nguyen Thi Mordukhovich subgradients of the value function in a parametric optimal control problem. (English) Zbl 1357.49087 Taiwanese J. Math. 19, No. 4, 1051-1072 (2015). MSC: 49K15 49J52 49K40 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Cheridito, Patrick; Kupper, Michael; Vogelpoth, Nicolas Conditional analysis on \(\mathbb R^d\). (English) Zbl 1338.49028 Hamel, Andreas H. (ed.) et al., Set optimization and applications – the state of the art. From set relations to set-valued risk measures. Berlin: Springer (ISBN 978-3-662-48668-9/hbk; 978-3-662-48670-2/ebook). Springer Proceedings in Mathematics & Statistics 151, 179-211 (2015). MSC: 49J52 46A19 46A22 13C13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Censor, Yair; Zaslavski, Alexander J. Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods. (English) Zbl 1322.90063 J. Optim. Theory Appl. 165, No. 1, 172-187 (2015). MSC: 90C25 90C30 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hare, W.; Planiden, C. Parametrically prox-regular functions. (English) Zbl 1311.49036 J. Convex Anal. 21, No. 4, 901-923 (2014). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J52 90C31 26B25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Toan, N. T.; Yao, J.-C. Mordukhovich subgradients of the value function to a parametric discrete optimal control problem. (English) Zbl 1302.49024 J. Glob. Optim. 58, No. 3, 595-612 (2014). MSC: 49J52 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Tsoukalas, A.; Mitsos, A. Multivariate McCormick relaxations. (English) Zbl 1312.90068 J. Glob. Optim. 59, No. 2-3, 633-662 (2014); erratum ibid. 68, No. 1, 219-225 (2017). Reviewer: Stephan Dempe (Freiberg) MSC: 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Przeworska-Rolewicz, D.; Rolewicz, S. \(\Phi\)-\(K\)-subgradients of vector-valued functions. (English) Zbl 1327.47042 Sci. Math. Jpn. 76, No. 2, 357-365 (2013). MSC: 47H04 46G05 47H07 49J52 49J53 × Cite Format Result Cite Review PDF Full Text: Link Link
Barnard, Richard C.; Wolenski, Peter R. Flow invariance on stratified domains. (English) Zbl 1327.93215 Set-Valued Var. Anal. 21, No. 2, 377-403 (2013). MSC: 93C15 49K15 49J52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noll, Dominikus Bundle method for non-convex minimization with inexact subgradients and function values. (English) Zbl 1282.90241 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 555-592 (2013). MSC: 90C56 49J52 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Zagrodny, Dariusz Convergences of subgradients of sequences of convex functions. (English) Zbl 1280.49023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 84-90 (2013). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J52 46N10 × Cite Format Result Cite Review PDF Full Text: DOI
de Castro, Alex L. Optimal control: an introduction in form of problems and solutions. Paper from the 29th Brazilian mathematics colloquium – 29\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 22 – August 2, 2013. (Controle Ótimo: uma introdução na forma de problemas e soluções.) (Portuguese) Zbl 1327.49001 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0353-8/pbk). 75 p., open access (2013). MSC: 49-01 49N05 49J52 49K15 49J15 00A07 × Cite Format Result Cite Review PDF Full Text: Link
Nechita, Delia-Maria A smooth variational description involving Dini-Hadamard-like decoupled subgradients. (English) Zbl 1313.49021 Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 10, 87-97 (2012). MSC: 49J52 49J53 90C56 × Cite Format Result Cite Review PDF
Ginchev, Ivan; Mordukhovich, Boris S. Directional subdifferentials and optimality conditions. (English) Zbl 1254.49007 Positivity 16, No. 4, 707-737 (2012). MSC: 49J52 49J53 90C29 49K27 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lin, Huiling An inexact spectral bundle method for convex quadratic semidefinite programming. (English) Zbl 1282.90120 Comput. Optim. Appl. 53, No. 1, 45-89 (2012). MSC: 90C22 × Cite Format Result Cite Review PDF Full Text: DOI
Beckers, Markus; Mosenkis, Viktor; Naumann, Uwe Adjoint mode computation of subgradients for McCormick relaxations. (English) Zbl 1253.65031 Forth, Shaun (ed.) et al., Recent advances in algorithmic differentiation. Selected papers based on the presentations at the 6th international conference on automatic differentiation (AD2012), Fort Collins, CO, USA, July 23–27, 2012. Berlin: Springer (ISBN 978-3-642-30022-6/hbk; 978-3-642-30023-3/ebook). Lecture Notes in Computational Science and Engineering 87, 103-113 (2012). MSC: 65D25 × Cite Format Result Cite Review PDF Full Text: DOI
Kiwiel, K. C. An alternating linearization bundle method for convex optimization and nonlinear multicommodity flow problems. (English) Zbl 1271.90058 Math. Program. 130, No. 1 (A), 59-84 (2011). MSC: 90C25 90C27 65K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hernández, Elvira; Rodríguez-Marín, Luis Weak and strong subgradients of set-valued maps. (English) Zbl 1231.90345 J. Optim. Theory Appl. 149, No. 2, 352-365 (2011). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen A novel algorithm for area traffic capacity control with elastic travel demands. (English) Zbl 1205.90075 Appl. Math. Modelling 35, No. 2, 650-666 (2011). MSC: 90B20 90C30 90C35 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Poliquin, R. A.; Rockafellar, R. T. A calculus of prox-regularity. (English) Zbl 1194.49049 J. Convex Anal. 17, No. 1, 203-210 (2010). MSC: 49N60 49J52 58C06 58C20 90C30 × Cite Format Result Cite Review PDF Full Text: Link
Svindland, Gregor Subgradients of law-invariant convex risk measures on \(L^{1}\). (English) Zbl 1203.91116 Stat. Decis. 27, No. 2, 169-199 (2009). Reviewer: Hanspeter Schmidli (Köln) MSC: 91B30 46E30 46G12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chiou, Suh-Wen A subgradient optimization model for continuous road network design problem. (English) Zbl 1168.90357 Appl. Math. Modelling 33, No. 3, 1386-1396 (2009). MSC: 90B10 49J52 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Wei-Shih The extension of continuity and generalized results for set-valued maps in convex analysis. (English) Zbl 1222.46004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3176-3184 (2009). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46A40 46A22 46B40 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen A bi-level programming for logistics network design with system-optimized flows. (English) Zbl 1166.90310 Inf. Sci. 179, No. 14, 2434-2441 (2009). MSC: 90B10 90B06 90B20 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen Optimization of limited network capacity with toll settings. (English) Zbl 1156.90452 Inf. Sci. 179, No. 1-2, 109-119 (2009). MSC: 90C35 × Cite Format Result Cite Review PDF Full Text: DOI
Kien, B. T.; Liou, Y. C.; Wong, N.-C.; Yao, J.-C. Subgradients of value functions in parametric dynamic programming. (English) Zbl 1152.90641 Eur. J. Oper. Res. 193, No. 1, 12-22 (2009). MSC: 90C39 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen A non-smooth model for signalized road network design problems. (English) Zbl 1172.90335 Appl. Math. Modelling 32, No. 7, 1179-1190 (2008). MSC: 90B10 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Isac, G.; Khan, A. A. Dubovitskii-Milyutin approach in set-valued optimization. (English) Zbl 1155.90015 SIAM J. Control Optim. 47, No. 1, 144-162 (2008). MSC: 90C26 90C29 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Rolewicz, S. On uniform differentiability. (English) Zbl 1173.46025 Bull. Pol. Acad. Sci., Math. 56, No. 3-4, 231-237 (2008). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 46G05 49J50 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Ji-Hong; Li, Zhong-Fei \(\epsilon \)-conjugate maps and \(\epsilon \)-conjugate duality in vector optimization with set-valued maps. (English) Zbl 1152.90593 Optimization 57, No. 5, 621-633 (2008). MSC: 90C29 90C48 49K27 × Cite Format Result Cite Review PDF Full Text: DOI
Phu, Hoang Xuan Outer \(\Gamma \)-convexity in vector spaces. (English) Zbl 1149.52002 Numer. Funct. Anal. Optim. 29, No. 7-8, 835-854 (2008). MSC: 52A01 52A30 52A41 49K27 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen An efficient search algorithm for road network optimization. (English) Zbl 1152.90352 Appl. Math. Comput. 201, No. 1-2, 128-137 (2008). MSC: 90B10 × Cite Format Result Cite Review PDF Full Text: DOI
Giner, Emmanuel Subdifferential regularity and characterizations of the Clarke subgradients of integral functionals. (English) Zbl 1156.26003 J. Nonlinear Convex Anal. 9, No. 1, 25-36 (2008). Reviewer: Bohumír Opic (Praha) MSC: 26A16 26A24 26E15 26B20 49J52 54C35 × Cite Format Result Cite Review PDF
Chiou, Suh-Wen Optimization of congestion pricing road network with variable demands. (English) Zbl 1142.90397 Appl. Math. Comput. 195, No. 2, 382-391 (2008). MSC: 90B35 90B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kiwiel, Krzysztof C. A method of centers with approximate subgradient linearizations for nonsmooth convex optimization. (English) Zbl 1207.90083 SIAM J. Optim. 18, No. 4, 1467-1489 (2007). MSC: 90C25 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Sach, P. H. Moreau-Rockafellar theorems for nonconvex set-valued maps. (English) Zbl 1146.49014 J. Optim. Theory Appl. 133, No. 2, 213-227 (2007). MSC: 49J53 90C29 90C46 52A41 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Jonathan; Wiersma, Herre Asplund decomposition of monotone operators. (English) Zbl 1157.47035 SIAM J. Optim. 18, No. 3, 946-960 (2007). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47H05 52A41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chiou, Suh-Wen A non-smooth optimization model for a two-tiered supply chain network. (English) Zbl 1162.90350 Inf. Sci. 177, No. 24, 5754-5762 (2007). MSC: 90B10 90C30 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Mordukhovich, Boris S.; Nam, Nguyen Mau Exact calculus for proximal subgradients with applications to optimization. (English) Zbl 1235.49033 ESAIM, Proc. 17, 80-95 (2007). MSC: 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuntong Subgradients of convex games and public good games. (English) Zbl 1200.91107 J. Convex Anal. 14, No. 1, 13-26 (2007). MSC: 91B18 91A80 × Cite Format Result Cite Review PDF
Lalitha, C. S.; Arora, Ruchi Conjugate maps, subgradients and conjugate duality in set-valued optimization. (English) Zbl 1149.90177 Numer. Funct. Anal. Optim. 28, No. 7-8, 897-909 (2007). MSC: 90C46 54C60 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen An iterative scheme for signal settings and network flows. (English) Zbl 1243.90040 Appl. Math. Comput. 189, No. 2, 1808-1815 (2007). MSC: 90B20 90B10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xianfu Extremal characterizations of reflexive spaces. (English) Zbl 1118.49012 J. Aust. Math. Soc. 82, No. 3, 429-439 (2007). MSC: 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Chiou, Suh-Wen A generalized iterative scheme for network design problem. (English) Zbl 1121.90027 Appl. Math. Comput. 188, No. 2, 1115-1123 (2007). MSC: 90B10 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Studniarski, Marcin; El-Desouky, Rahmo Approximating Clarke’s subgradients of semismooth functions by divided differences. (English) Zbl 1133.65043 Numer. Algorithms 43, No. 4, 385-392 (2006). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49J52 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Apkarian, Pierre; Noll, Dominikus Controller design via nonsmooth multidirectional search. (English) Zbl 1139.93012 SIAM J. Control Optim. 44, No. 6, 1923-1949 (2006). MSC: 93B36 93B40 93B50 93B51 90C22 90C56 90C34 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Boralugoda, S.; Poliquin, R. A. Local integration of prox-regular functions in Hilbert spaces. (English) Zbl 1116.49012 J. Convex Anal. 13, No. 1, 27-36 (2006). Reviewer: Fuhua Ling (Milpitas) MSC: 49J53 49J52 58C06 × Cite Format Result Cite Review PDF
Chiou, Suh-Wen An optimal scheme for toll pricing problem. (English) Zbl 1151.91439 Appl. Math. Comput. 182, No. 2, 1127-1136 (2006). MSC: 91B24 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Kiwiel, Krzysztof C. A proximal bundle method with approximate subgradient linearizations. (English) Zbl 1104.65055 SIAM J. Optim. 16, No. 4, 1007-1023 (2006). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
Jeyakumar, V.; Mohebi, H. Limiting \(\varepsilon\)-subgradient characterizations of constrained best approximation. (English) Zbl 1138.41304 J. Approx. Theory 135, No. 2, 145-159 (2005). MSC: 41A29 49J52 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Giovanni; Wolenski, Peter R. Variational analysis for a class of minimal time functions in Hilbert spaces. (English) Zbl 1059.49028 J. Convex Anal. 11, No. 2, 335-361 (2004). MSC: 49K27 49N60 49L20 × Cite Format Result Cite Review PDF
Mordukhovich, Boris S.; Shvartsman, Ilya The approximate maximum principle in constrained optimal control. (English) Zbl 1080.49017 SIAM J. Control Optim. 43, No. 3, 1037-1062 (2004). MSC: 49K15 93C55 49M25 49J52 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Mordukhovich, Boris S. Necessary conditions in nonsmooth minimization via lower and upper subgradients. (English) Zbl 1046.49011 Set-Valued Anal. 12, No. 1-2, 163-193 (2004). MSC: 49J52 49K27 90C48 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tanino, Tetsuzo Multiobjective conjugate duality in the multi-dimensional extended real space. (English) Zbl 1276.90082 Takahashi, Wataru (ed.) et al., Proceedings of the 2nd international conference on nonlinear analysis and convex analysis (NACA2001), Hirosaki, Japan, July 30–August 2, 2001. Yokohama: Yokohama Publishers (ISBN 4-946552-09-X/hbk). 489-499 (2003). MSC: 90C46 90C29 × Cite Format Result Cite Review PDF
Bevan, Jonathan An example of a \(C^{1,1}\) polyconvex function with no differentiable convex representative. (English) Zbl 1036.49003 C. R., Math., Acad. Sci. Paris 336, No. 1, 11-14 (2003). MSC: 49J10 49J45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nurminskii, E. A. One more global property of \({\varepsilon}\)-subdifferentials. (English. Russian original) Zbl 1042.49022 Cybern. Syst. Anal. 38, No. 4, 615-617 (2002); translation from Kibern. Sist. Anal. 2002, No. 4, 159-161 (2002). MSC: 49J52 90C25 26A51 49J53 × Cite Format Result Cite Review PDF Full Text: DOI
Zalmai, G. J. Optimality conditions and duality models for a class of nonsmooth continuous-time generalized fractional programming problems. (English) Zbl 1004.90059 Optimization 51, No. 2, 353-399 (2002). MSC: 90C32 90C46 90C56 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Rolewicz, Stefan On the coincidence of some subdifferentials in the class of \(\alpha(\cdot)\)-paraconvex functions. (English) Zbl 1008.52003 Optimization 50, No. 5-6, 353-360 (2001). MSC: 52A01 46N10 52A41 × Cite Format Result Cite Review PDF Full Text: DOI
Burke, James V.; Overton, Michael L. Variational analysis of the abscissa mapping for polynomials. (English) Zbl 0997.49015 SIAM J. Control Optimization 39, No. 6, 1651-1676 (2001). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 49J52 34D05 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Kuttler, Kenneth Evolution inclusions for time dependent families of subgradients. (English) Zbl 1026.35107 Appl. Anal. 76, No. 3-4, 185-201 (2000). MSC: 35R70 35A05 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Mordukhovich, Boris S.; Wang, Bingwu On variational characterizations of Asplund spaces. (English) Zbl 0966.49015 Théra, Michel (ed.), Constructive, experimental, and nonlinear analysis. Selected papers of a workshop, Limoges, France, September 22-23, 1999. Providence, RI: American Mathematical Society (AMS), publ. for the Canadian Mathematical Society. CMS Conf. Proc. 27, 245-254 (2000). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 58C20 49J50 58E30 × Cite Format Result Cite Review PDF
Jofré, Alejandro A second-welfare theorem in nonconvex economies. (English) Zbl 0969.47052 Théra, Michel (ed.), Constructive, experimental, and nonlinear analysis. Selected papers of a workshop, Limoges, France, September 22-23, 1999. Providence, RI: American Mathematical Society (AMS), publ. for the Canadian Mathematical Society. CMS Conf. Proc. 27, 175-184 (2000). MSC: 47N10 47L07 47A15 46A32 46A22 91B50 × Cite Format Result Cite Review PDF
Chen, Guang Ya; Jahn, Johannes Optimality conditions for set-valued optimization problems. (English) Zbl 0927.90095 Math. Methods Oper. Res. 48, No. 2, 187-200 (1998). MSC: 90C29 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Jonathan M.; Jofré, Alejandro A nonconvex separation property in Banach spaces. (English) Zbl 0935.49008 Math. Methods Oper. Res. 48, No. 2, 169-179 (1998). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Sonnenschein, Christiane On the minimization of nondifferentiable programmable functions. (Zur Minimierung nichtdifferenzierbarer programmierbarer Funktionen.) (German) Zbl 0917.90277 Düsseldorf: Univ. Düsseldorf, Mathematisch-Naturwissenschaftliche Fakultät, ix, 116 S. (1998). MSC: 90C30 49J52 × Cite Format Result Cite Review PDF
Habbal, Abderrahmane Nonsmooth shape optimization applied to linear acoustics. (English) Zbl 0922.65050 SIAM J. Optim. 8, No. 4, 989-1006 (1998). Reviewer: B.Burrows (Stafford) MSC: 65K10 49J20 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Ermoliev, Yuri; Norkin, Vladimir On constrained discontinuous optimization. (English) Zbl 0911.90265 Marti, Kurt (ed.) et al., Stochastic programming methods and technical applications. Proceedings of the 3rd GAMM/ IFIP-Workshop on “Stochastic optimization: numerical methods and applications”, Federal Armed Forces University Munich, Neubiberg/ Munich, Germany, June 17–20, 1996. Berlin: Springer. Lect. Notes Econ. Math. Syst. 458, 128-144 (1998). MSC: 90C15 49J52 × Cite Format Result Cite Review PDF
Larsson, T.; Patriksson, M.; Strömberg, A.-B. Ergodic convergence in subgradient optimization. (English) Zbl 0904.90131 Optim. Methods Softw. 9, No. 1-3, 93-120 (1998). MSC: 90C25 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Kuttler, Kenneth Modern analysis. (English) Zbl 0893.46001 Studies in Advanced Mathematics. Boca Raton, MA: CRC Press. 572 p. (1998). Reviewer: S.V.Rogozin (Minsk) MSC: 46-01 28-01 42-01 60-01 00A05 × Cite Format Result Cite Review PDF
Pallaschke, Diethard; Rolewicz, Stefan Foundations of mathematical optimization: convex analysis without linearity. (English) Zbl 0887.49001 Mathematics and its Applications (Dordrecht). 388. Dordrecht: Kluwer Academic Publishers. xii, 582 p. (1997). Reviewer: A.Göpfert (Halle) MSC: 49-02 90-02 90C48 49K27 49J52 × Cite Format Result Cite Review PDF
Ermoliev, Yuri M.; Norkin, Vladimir I. On nonsmooth and discontinuous problems of stochastic systems optimization. (English) Zbl 0929.90060 Eur. J. Oper. Res. 101, No. 2, 230-244 (1997). MSC: 90C15 90B15 91B76 93E03 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Radulescu, M. L.; Clarke, F. H. Geometric approximation on proximal normals. (English) Zbl 0908.49016 J. Convex Anal. 4, No. 2, 373-379 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Clarke, F. H. Solving equations by the decrease principle. (English) Zbl 0891.49010 Vinet, Luc (ed.), Advances in mathematical sciences: CRM’s 25 years. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 11, 29-39 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26B05 26B10 × Cite Format Result Cite Review PDF
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I. Asymptotic controllability implies feedback stabilization. (English) Zbl 0892.93053 IEEE Trans. Autom. Control 42, No. 10, 1394-1407 (1997). Reviewer: V.Răsvan (Craiova) MSC: 93D15 93B05 93C57 × Cite Format Result Cite Review PDF Full Text: DOI Link
Radulescu, M. L.; Clarke, F. H. The multidirectional mean value theorem in Banach spaces. (English) Zbl 0895.49009 Can. Math. Bull. 40, No. 1, 88-102 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26B05 90C48 × Cite Format Result Cite Review PDF Full Text: DOI