Tung, Nguyen Minh; Bao, Nguyen Xuan Duy New second-order limiting directional derivatives and \(C^1\)-optimization. (English) Zbl 07755341 Optim. Lett. 17, No. 8, 1791-1810 (2023). MSC: 90C30 26A24 PDFBibTeX XMLCite \textit{N. M. Tung} and \textit{N. X. D. Bao}, Optim. Lett. 17, No. 8, 1791--1810 (2023; Zbl 07755341) Full Text: DOI
Tran Van Su; Dinh Dieu Hang Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints. (English) Zbl 1519.90256 Optimization 72, No. 5, 1171-1198 (2023). MSC: 90C46 90C29 90C32 49J52 PDFBibTeX XMLCite \textit{Tran Van Su} and \textit{Dinh Dieu Hang}, Optimization 72, No. 5, 1171--1198 (2023; Zbl 1519.90256) Full Text: DOI
Tinh, Phan Nhat On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives. (English) Zbl 1527.90229 Optimization 72, No. 4, 1037-1068 (2023). MSC: 90C30 90C34 90C48 PDFBibTeX XMLCite \textit{P. N. Tinh}, Optimization 72, No. 4, 1037--1068 (2023; Zbl 1527.90229) Full Text: DOI
Liu, Yulan; Pan, Shaohua Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications. (English) Zbl 1489.90198 Set-Valued Var. Anal. 30, No. 2, 373-395 (2022). MSC: 90C33 49J52 49J53 90C46 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{S. Pan}, Set-Valued Var. Anal. 30, No. 2, 373--395 (2022; Zbl 1489.90198) Full Text: DOI
Dinh, Tuan Nguyen Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations. (English) Zbl 1485.35271 Set-Valued Var. Anal. 30, No. 1, 257-281 (2022). MSC: 35K58 35K20 49K20 49K27 90C29 90C46 PDFBibTeX XMLCite \textit{T. N. Dinh}, Set-Valued Var. Anal. 30, No. 1, 257--281 (2022; Zbl 1485.35271) Full Text: DOI
Su, Tran Van; Hang, Dinh Dieu Second-order necessary and sufficient optimality conditions for constrained vector equilibrium problem with applications. (English) Zbl 1473.90154 Bull. Iran. Math. Soc. 47, No. 5, 1337-1362 (2021). MSC: 90C29 90C46 49K27 PDFBibTeX XMLCite \textit{T. Van Su} and \textit{D. D. Hang}, Bull. Iran. Math. Soc. 47, No. 5, 1337--1362 (2021; Zbl 1473.90154) Full Text: DOI
Kresin, Gershon; Maz’ya, Vladimir Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer. (English) Zbl 1467.35070 Complex Var. Elliptic Equ. 66, No. 6-7, 945-963 (2021). MSC: 35B45 35K45 35A23 47A30 PDFBibTeX XMLCite \textit{G. Kresin} and \textit{V. Maz'ya}, Complex Var. Elliptic Equ. 66, No. 6--7, 945--963 (2021; Zbl 1467.35070) Full Text: DOI arXiv
Huy, Nguyen Quang; Kien, Bui Trong; Lee, Gue Myung; Tuyen, Nguyen Van Second-order optimality conditions for multiobjective optimization problems with constraints. (English) Zbl 1457.49012 Linear Nonlinear Anal. 5, No. 2, 237-253 (2019). MSC: 49J52 49J50 90C29 90C46 65K10 49K30 PDFBibTeX XMLCite \textit{N. Q. Huy} et al., Linear Nonlinear Anal. 5, No. 2, 237--253 (2019; Zbl 1457.49012) Full Text: arXiv Link
Tan, Lulin; Mei, Jing; Ye, Qi; Huang, Liren Generalized third-order conditions for error bound of proper functions in Banach spaces. (Chinese. English summary) Zbl 1438.49036 J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 5, 106-109 (2018). MSC: 49K27 90C48 PDFBibTeX XMLCite \textit{L. Tan} et al., J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 5, 106--109 (2018; Zbl 1438.49036)
Tuan, Nguyen Dinh Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications. (English) Zbl 1390.90509 Positivity 22, No. 1, 159-190 (2018). MSC: 90C29 90C46 49K27 26B05 PDFBibTeX XMLCite \textit{N. D. Tuan}, Positivity 22, No. 1, 159--190 (2018; Zbl 1390.90509) Full Text: DOI
Pastor, Karel Derivatives of Hadamard type in scalar constrained optimization. (English) Zbl 1424.90288 Kybernetika 53, No. 4, 717-729 (2017). Reviewer: Aris Daniilidis (Santiago) MSC: 90C46 90C26 26B25 49K10 49J52 PDFBibTeX XMLCite \textit{K. Pastor}, Kybernetika 53, No. 4, 717--729 (2017; Zbl 1424.90288) Full Text: DOI Link
Li, Meng; Zhan, Yi Integrating feature direction information with a level set formulation for image segmentation. (English) Zbl 1456.94008 East Asian J. Appl. Math. 6, No. 1, 1-22 (2016). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{M. Li} and \textit{Y. Zhan}, East Asian J. Appl. Math. 6, No. 1, 1--22 (2016; Zbl 1456.94008) Full Text: DOI
Constantin, Elena Second-order necessary conditions for set constrained nonsmooth optimization problems via second-order projective tangent cones. (English) Zbl 1375.49034 Lib. Math. (N.S.) 36, No. 1, 73-95 (2016). MSC: 49K27 90C30 90C48 49K30 49J50 PDFBibTeX XMLCite \textit{E. Constantin}, Lib. Math. (N.S.) 36, No. 1, 73--95 (2016; Zbl 1375.49034)
Dvorská, Marie; Pastor, Karel Generalization of \(C^{1,1}\) property in infinite dimension. (English) Zbl 1352.65151 Acta Math. Vietnam. 41, No. 2, 265-275 (2016). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 90C29 PDFBibTeX XMLCite \textit{M. Dvorská} and \textit{K. Pastor}, Acta Math. Vietnam. 41, No. 2, 265--275 (2016; Zbl 1352.65151) Full Text: DOI
Thieu, Nguyen Nang Some differential estimates in linear programming. (English) Zbl 1360.90166 Acta Math. Vietnam. 41, No. 2, 243-249 (2016). Reviewer: Efstratios Rappos (Aubonne) MSC: 90C05 90C31 49N15 PDFBibTeX XMLCite \textit{N. N. Thieu}, Acta Math. Vietnam. 41, No. 2, 243--249 (2016; Zbl 1360.90166) Full Text: DOI
Tripathy, Arun Kumar Second order nondifferentiable multiobjective fractional programming under generalized univex functions. (English) Zbl 1377.90095 J. Appl. Anal. Comput. 5, No. 1, 1-17 (2015). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C32 90C29 90C46 PDFBibTeX XMLCite \textit{A. K. Tripathy}, J. Appl. Anal. Comput. 5, No. 1, 1--17 (2015; Zbl 1377.90095)
Dvorská, Marie; Pastor, Karel Necessary conditions for vector optimization in infinite dimension. (English) Zbl 1363.49027 Kybernetika 51, No. 6, 1023-1034 (2015). Reviewer: Karel Zimmermann (Praha) MSC: 49K10 49J52 49J50 90C29 90C30 PDFBibTeX XMLCite \textit{M. Dvorská} and \textit{K. Pastor}, Kybernetika 51, No. 6, 1023--1034 (2015; Zbl 1363.49027) Full Text: DOI Link
Isaryuk, Inna M.; Pukal’skii, Ivan D. The boundary-value problems for parabolic equations with a nonlocal condition and degenerations. (English. Ukrainian original) Zbl 1327.35139 J. Math. Sci., New York 207, No. 1, 26-38 (2015); translation from Ukr. Mat. Visn. 11, No. 4, 480-496 (2014). MSC: 35K20 35K65 PDFBibTeX XMLCite \textit{I. M. Isaryuk} and \textit{I. D. Pukal'skii}, J. Math. Sci., New York 207, No. 1, 26--38 (2015; Zbl 1327.35139); translation from Ukr. Mat. Visn. 11, No. 4, 480--496 (2014) Full Text: DOI
Bose, Mausumi; Mukerjee, Rahul Optimal design measures under asymmetric errors, with application to binary design points. (English) Zbl 1311.62113 J. Stat. Plann. Inference 159, 28-36 (2015). MSC: 62K05 62J05 PDFBibTeX XMLCite \textit{M. Bose} and \textit{R. Mukerjee}, J. Stat. Plann. Inference 159, 28--36 (2015; Zbl 1311.62113) Full Text: DOI arXiv
Constantin, Elena Second-order necessary conditions in locally Lipschitz optimization with inequality constraints. (English) Zbl 1318.49026 Optim. Lett. 9, No. 2, 245-261 (2015). Reviewer: Do Van Luu (Hanoi) MSC: 49J52 49K27 90C46 90C48 PDFBibTeX XMLCite \textit{E. Constantin}, Optim. Lett. 9, No. 2, 245--261 (2015; Zbl 1318.49026) Full Text: DOI
Winkert, Patrick On the boundedness of solutions to elliptic variational inequalities. (English) Zbl 1304.35306 Set-Valued Var. Anal. 22, No. 4, 763-781 (2014). MSC: 35J87 35B45 35J25 35J60 PDFBibTeX XMLCite \textit{P. Winkert}, Set-Valued Var. Anal. 22, No. 4, 763--781 (2014; Zbl 1304.35306) Full Text: DOI
Dvorská, Marie; Pastor, Karel On comparison of \({\ell}\)-stable vector optimization results. (English) Zbl 1349.49026 Math. Slovaca 64, No. 4, 973-990 (2014). MSC: 49K10 PDFBibTeX XMLCite \textit{M. Dvorská} and \textit{K. Pastor}, Math. Slovaca 64, No. 4, 973--990 (2014; Zbl 1349.49026) Full Text: DOI
Abramson, Mark A.; Frimannslund, Lennart; Steihaug, Trond A subclass of generating set search with convergence to second-order stationary points. (English) Zbl 1298.90101 Optim. Methods Softw. 29, No. 5, 900-918 (2014). MSC: 90C30 90C56 65K05 PDFBibTeX XMLCite \textit{M. A. Abramson} et al., Optim. Methods Softw. 29, No. 5, 900--918 (2014; Zbl 1298.90101) Full Text: DOI
Zhang, Ning; Zhang, Liwei; Xiao, Xiantao The second-order directional derivatives of singular values. (Chinese. English summary) Zbl 1488.15021 Sci. Sin., Math. 43, No. 2, 121-128 (2013). MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{N. Zhang} et al., Sci. Sin., Math. 43, No. 2, 121--128 (2013; Zbl 1488.15021) Full Text: DOI
Đuranović-Miličić, Nada I.; Gardašević-Filipović, Milanka On an algorithm in nondifferential convex optimization. (English) Zbl 1299.90264 Yugosl. J. Oper. Res. 23, No. 1, 59-71 (2013). Reviewer: Tatjana Davidović (Beograd) MSC: 90C25 90C30 65K05 PDFBibTeX XMLCite \textit{N. I. Đuranović-Miličić} and \textit{M. Gardašević-Filipović}, Yugosl. J. Oper. Res. 23, No. 1, 59--71 (2013; Zbl 1299.90264) Full Text: DOI
Dvorská, Marie Vector optimization results for \(\ell\)-stable data. (English) Zbl 1287.49016 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 43-52 (2013). MSC: 49J52 49J50 49K99 90C29 90C30 PDFBibTeX XMLCite \textit{M. Dvorská}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 43--52 (2013; Zbl 1287.49016) Full Text: Link
Moiseev, E. I.; Kholomeeva, A. A. On an optimal boundary control problem with a dynamic boundary condition. (English. Russian original) Zbl 1273.49010 Differ. Equ. 49, No. 5, 640-644 (2013); translation from Differ. Uravn. 49, No. 5, 667-671 (2013). MSC: 49J20 35L20 70Q05 PDFBibTeX XMLCite \textit{E. I. Moiseev} and \textit{A. A. Kholomeeva}, Differ. Equ. 49, No. 5, 640--644 (2013; Zbl 1273.49010); translation from Differ. Uravn. 49, No. 5, 667--671 (2013) Full Text: DOI
Zhang, Liwei; Zhang, Ning; Xiao, Xiantao On the second-order directional derivatives of singular values of matrices and symmetric matrix-valued functions. (English) Zbl 1301.90090 Set-Valued Var. Anal. 21, No. 3, 557-586 (2013). MSC: 90C30 15A18 PDFBibTeX XMLCite \textit{L. Zhang} et al., Set-Valued Var. Anal. 21, No. 3, 557--586 (2013; Zbl 1301.90090) Full Text: DOI
Bednařík, Dušan; Pastor, Karel On Lipschitz behaviour of some generalized derivatives. (English) Zbl 1349.49018 Math. Slovaca 63, No. 3, 587-594 (2013). MSC: 49J52 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Math. Slovaca 63, No. 3, 587--594 (2013; Zbl 1349.49018) Full Text: DOI
Bednařík, Dušan; Pastor, Karel Composition of \({\ell}\)-stable vector functions. (English) Zbl 1313.49025 Math. Slovaca 62, No. 5, 995-1005 (2012). MSC: 49K10 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Math. Slovaca 62, No. 5, 995--1005 (2012; Zbl 1313.49025) Full Text: DOI
Lü, Guixia; Wu, Hao; Shen, Longjun Extremum of second-order directional derivatives. (English) Zbl 1265.26033 Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 379-389 (2011). MSC: 26B05 65D25 PDFBibTeX XMLCite \textit{G. Lü} et al., Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 379--389 (2011; Zbl 1265.26033) Full Text: DOI
Taa, Ahmed Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints. (English) Zbl 1242.90221 J. Glob. Optim. 50, No. 2, 271-291 (2011). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{A. Taa}, J. Glob. Optim. 50, No. 2, 271--291 (2011; Zbl 1242.90221) Full Text: DOI
Bednařík, Dušan; Pastor, Karel On second-order optimality conditions in constrained multiobjective optimization. (English) Zbl 1213.49025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1372-1382 (2011). MSC: 49K10 49J52 49J50 90C29 90C30 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1372--1382 (2011; Zbl 1213.49025) Full Text: DOI
Đuranović-Miličić, Nada I.; Gardašević-Filipović, Milanka A multi-step curve search algorithm in nonlinear optimization: nondifferentiable convex case. (English) Zbl 1289.65146 Facta Univ., Ser. Math. Inf. 25, 11-24 (2010). Reviewer: Francisco Guerra Vazquez (Puebla, Mexico) MSC: 65K05 90C30 90C25 PDFBibTeX XMLCite \textit{N. I. Đuranović-Miličić} and \textit{M. Gardašević-Filipović}, Facta Univ., Ser. Math. Inf. 25, 11--24 (2010; Zbl 1289.65146)
Wang, Fengling; Song, Wen On second-order sufficient conditions in constrained nonsmooth optimization. (English) Zbl 1240.49028 Commun. Math. Res. 26, No. 3, 203-210 (2010). MSC: 49K10 90C46 90C30 PDFBibTeX XMLCite \textit{F. Wang} and \textit{W. Song}, Commun. Math. Res. 26, No. 3, 203--210 (2010; Zbl 1240.49028)
Bednařík, Dušan; Pastor, Karel On relations of vector optimization results with \(C^{1,1}\) data. (English) Zbl 1209.49018 Acta Math. Sin., Engl. Ser. 26, No. 11, 2031-2040 (2010). MSC: 49K10 49J52 49J50 90C29 90C30 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Acta Math. Sin., Engl. Ser. 26, No. 11, 2031--2040 (2010; Zbl 1209.49018) Full Text: DOI
Yin, Li; Lü, Guixia; Shen, Longjun Relations of 3D directional derivatives and expressions of typical differential operators. (English) Zbl 1199.65385 Appl. Math., Ser. B (Engl. Ed.) 24, No. 2, 221-229 (2009). MSC: 65N30 65D25 35J25 PDFBibTeX XMLCite \textit{L. Yin} et al., Appl. Math., Ser. B (Engl. Ed.) 24, No. 2, 221--229 (2009; Zbl 1199.65385) Full Text: DOI
Bednařík, Dušan; Pastor, Karel Decrease of \(C^{1,1}\) property in vector optimization. (English) Zbl 1193.49016 RAIRO, Oper. Res. 43, No. 4, 359-372 (2009). MSC: 49K10 49J52 49J50 90C29 90C30 49K40 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, RAIRO, Oper. Res. 43, No. 4, 359--372 (2009; Zbl 1193.49016) Full Text: DOI
Gutiérrez, C.; Jiménez, B.; Novo, V. New second-order directional derivative and optimality conditions in scalar and vector optimization. (English) Zbl 1206.90210 J. Optim. Theory Appl. 142, No. 1, 85-106 (2009). Reviewer: Gabriela Cristescu (Arad) MSC: 90C46 90C30 90C29 PDFBibTeX XMLCite \textit{C. Gutiérrez} et al., J. Optim. Theory Appl. 142, No. 1, 85--106 (2009; Zbl 1206.90210) Full Text: DOI
Pastor, Karel Fréchet approach to generalized second-order differentiability. (English) Zbl 1199.49060 Stud. Sci. Math. Hung. 45, No. 3, 333-352 (2008). Reviewer: Stefan Mirică (Bucharest) MSC: 49K35 58C20 49J52 49J15 49J50 26A27 90C30 PDFBibTeX XMLCite \textit{K. Pastor}, Stud. Sci. Math. Hung. 45, No. 3, 333--352 (2008; Zbl 1199.49060) Full Text: DOI
Ward, D. E. A chain rule for first- and second-order epiderivatives and hypoderivatives. (English) Zbl 1149.49022 J. Math. Anal. Appl. 348, No. 1, 324-336 (2008). MSC: 49J53 49J50 PDFBibTeX XMLCite \textit{D. E. Ward}, J. Math. Anal. Appl. 348, No. 1, 324--336 (2008; Zbl 1149.49022) Full Text: DOI
Ward, D. E. First- and second-order directional differentiability of locally Lipschitzian functions. (English) Zbl 1201.49015 J. Math. Anal. Appl. 337, No. 2, 1182-1189 (2008). MSC: 49J52 PDFBibTeX XMLCite \textit{D. E. Ward}, J. Math. Anal. Appl. 337, No. 2, 1182--1189 (2008; Zbl 1201.49015) Full Text: DOI
Moiseev, T. E. Solvability of boundary value problems with a directional derivative. (English. Russian original) Zbl 1181.35039 Differ. Equ. 43, No. 7, 1021-1024 (2007); translation from Differ. Uravn. 43, No. 7, 995-997 (2007). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{T. E. Moiseev}, Differ. Equ. 43, No. 7, 1021--1024 (2007; Zbl 1181.35039); translation from Differ. Uravn. 43, No. 7, 995--997 (2007) Full Text: DOI
Li, Hongxu Unilateral generalized Hessians and generalized Taylor’s expansions. (English) Zbl 1164.41352 J. Sichuan Univ., Nat. Sci. Ed. 44, No. 1, 11-16 (2007). MSC: 41A58 PDFBibTeX XMLCite \textit{H. Li}, J. Sichuan Univ., Nat. Sci. Ed. 44, No. 1, 11--16 (2007; Zbl 1164.41352)
Đuranović-Miličić, Nada A trust region algorithm for \(LC^1\) unconstrained optimization. (English) Zbl 1274.65177 Filomat 21, No. 2, 285-290 (2007). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{N. Đuranović-Miličić}, Filomat 21, No. 2, 285--290 (2007; Zbl 1274.65177) Full Text: DOI
Constantin, Elena Second order necessary conditions based on second order tangent cones. (English) Zbl 1106.49041 Math. Sci. Res. J. 10, No. 2, 42-56 (2006). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49K27 90C48 90C30 PDFBibTeX XMLCite \textit{E. Constantin}, Math. Sci. Res. J. 10, No. 2, 42--56 (2006; Zbl 1106.49041)
Đuranović-Miličić, Nada I. An algorithm for LC\(^1\) optimization. (English) Zbl 1274.90410 Yugosl. J. Oper. Res. 15, No. 2, 301-306 (2005). MSC: 90C30 PDFBibTeX XMLCite \textit{N. I. Đuranović-Miličić}, Yugosl. J. Oper. Res. 15, No. 2, 301--306 (2005; Zbl 1274.90410) Full Text: DOI
Bednarík, Dusan; Pastor, Karel Elimination of strict convergence in optimization. (English) Zbl 1089.49023 SIAM J. Control Optim. 43, No. 3, 1063-1077 (2004). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 90C46 49K35 26B25 PDFBibTeX XMLCite \textit{D. Bednarík} and \textit{K. Pastor}, SIAM J. Control Optim. 43, No. 3, 1063--1077 (2004; Zbl 1089.49023) Full Text: DOI
Huang, L. R.; Ng, K. F. On first- and second-order conditions for error bounds. (English) Zbl 1073.90048 SIAM J. Optim. 14, No. 4, 1057-1073 (2004). MSC: 90C31 90C46 PDFBibTeX XMLCite \textit{L. R. Huang} and \textit{K. F. Ng}, SIAM J. Optim. 14, No. 4, 1057--1073 (2004; Zbl 1073.90048) Full Text: DOI
Bednařík, Dušan; Pastor, Karel On characterization of convexity for regularly locally Lipschitz functions. (English) Zbl 1073.49008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 1, 85-97 (2004). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 26B25 52A41 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 1, 85--97 (2004; Zbl 1073.49008) Full Text: DOI
Akkouchi, Mohamed; Bounabat, Abdellah; Goebel, Manfred Optimality conditions for a nonlinear boundary value problem using nonsmooth analysis. (English) Zbl 1048.49013 Ann. Math. Blaise Pascal 10, No. 2, 181-194 (2003). MSC: 49K15 49J15 47H30 PDFBibTeX XMLCite \textit{M. Akkouchi} et al., Ann. Math. Blaise Pascal 10, No. 2, 181--194 (2003; Zbl 1048.49013) Full Text: DOI Numdam EuDML
Bednařík, Dušan; Pastor, Karel A technical note concerning one example. (English) Zbl 1055.49507 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 1-2, 187-189 (2003). MSC: 49J52 PDFBibTeX XMLCite \textit{D. Bednařík} and \textit{K. Pastor}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 1--2, 187--189 (2003; Zbl 1055.49507) Full Text: DOI
Pastor, Karel Generalized second-order sufficient optimality conditions. (English) Zbl 1037.49021 J. Electr. Eng. 53, No. 12/s, 76-78 (2002). MSC: 49K10 49J52 90C46 PDFBibTeX XMLCite \textit{K. Pastor}, J. Electr. Eng. 53, No. 12/s, 76--78 (2002; Zbl 1037.49021)
Ioffe, A.; Miłosz, T. On a characterization of \(C^{1,1}\) functions. (English) Zbl 1029.49017 Cybern. Syst. Anal. 38, No. 3, 313-322 (2002) and Kibern. Sist. Anal. 2002, No. 3, 3-13 (2002). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 PDFBibTeX XMLCite \textit{A. Ioffe} and \textit{T. Miłosz}, Cybern. Syst. Anal. 38, No. 3, 313--322 (2002) and from Kibern. Sist. Anal. 2002, No. 3, 3--13 (2002; Zbl 1029.49017) Full Text: DOI
Goeleven, D.; Motreanu, D. Hyperbolic hemivariational inequality and nonlinear wave equation with discontinuities. (English) Zbl 1043.49010 Gilbert, Robert P. (ed.) et al., From Convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7144-5/hbk). Nonconvex Optim. Appl. 55, 111-122 (2001). MSC: 49J40 35A15 35L70 PDFBibTeX XMLCite \textit{D. Goeleven} and \textit{D. Motreanu}, Nonconvex Optim. Appl. 55, 111--122 (2001; Zbl 1043.49010)
Lieberman, Gary M. Pointwise estimates for oblique derivative problems in nonsmooth domains. (English) Zbl 0994.35042 J. Differ. Equations 173, No. 1, 178-211 (2001). Reviewer: Maurizio Chicco (Genova) MSC: 35J25 35R05 PDFBibTeX XMLCite \textit{G. M. Lieberman}, J. Differ. Equations 173, No. 1, 178--211 (2001; Zbl 0994.35042) Full Text: DOI
Gonzalez, O. Time integration and discrete Hamiltonian systems. (English) Zbl 0990.70004 Mechanics: from theory to computation. Essays in honor of Juan-Carlos Simo. Papers invited by Journal of Nonlinear Science editors. New York, NY: Springer. 257-275 (2000). MSC: 70-08 70H05 70H33 65P10 PDFBibTeX XMLCite \textit{O. Gonzalez}, in: Mechanics: from theory to computation. Essays in honor of Juan-Carlos Simo. Papers invited by Journal of Nonlinear Science editors. New York, NY: Springer. 257--275 (2000; Zbl 0990.70004)
Gurevich, Yu. G.; Kucherenko, V. V.; Ramires de Areiano, E. A problem with directional derivative in the theory of galvanomagnetic effects. (English. Russian original) Zbl 0973.78005 Math. Notes 65, No. 4, 436-446 (1999); translation from Mat. Zametki 65, No. 4, 520-532 (1999). MSC: 78A25 35Q60 35J25 PDFBibTeX XMLCite \textit{Yu. G. Gurevich} et al., Math. Notes 65, No. 4, 436--446 (1999; Zbl 0973.78005); translation from Mat. Zametki 65, No. 4, 520--532 (1999) Full Text: DOI
Ward, Doug Second-order necessary conditions in nonsmooth programming. (English) Zbl 0927.49013 Polis, Michael P. (ed.) et al., Systems modelling and optimization. Proceedings of the 18th IFIP TC7 conference, Detroit, MI, USA, July 22–25, 1997. Boca Raton, FL: Chapman & Hall/ CRC. Chapman Hall/CRC Res. Notes Math. 396, 216-224 (1999). Reviewer: C.Zălinescu (Iaşi) MSC: 49J52 90C30 PDFBibTeX XMLCite \textit{D. Ward}, Chapman Hall/CRC Res. Notes Math. 396, 216--224 (1999; Zbl 0927.49013)
Krutitskii, P. A. A mixed problem for the Laplace equation outside a system of cuts on the plane. (English. Russian original) Zbl 0930.35052 Differ. Equations 33, No. 9, 1184-1193 (1997); translation from Differ. Uravn. 33, No. 9, 1181-1190 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 35J25 78A25 45B05 PDFBibTeX XMLCite \textit{P. A. Krutitskii}, Differ. Equations 33, No. 9, 1184--1193 (1997; Zbl 0930.35052); translation from Differ. Uravn. 33, No. 9, 1181--1190 (1997)
Huang, L. R.; Ng, K. F. On lower bounds of the second-order directional derivatives of Ben-Tal, Zowe, and Chaney. (English) Zbl 0886.49018 Math. Oper. Res. 22, No. 3, 747-753 (1997). Reviewer: X.Q.Yang (Nedlands) MSC: 49J52 90C25 PDFBibTeX XMLCite \textit{L. R. Huang} and \textit{K. F. Ng}, Math. Oper. Res. 22, No. 3, 747--753 (1997; Zbl 0886.49018) Full Text: DOI
Huang, L. R.; Ng, K. F. On some relations between Chaney’s generalized second-order directional derivative and that of Ben-Tal and Zowe. (English) Zbl 0877.49019 SIAM J. Control Optimization 34, No. 4, 1220-1234 (1996). Reviewer: M.Studniarski (Łódź) MSC: 49J52 PDFBibTeX XMLCite \textit{L. R. Huang} and \textit{K. F. Ng}, SIAM J. Control Optim. 34, No. 4, 1220--1234 (1996; Zbl 0877.49019) Full Text: DOI
Georgiev, Pando Gr.; Zlateva, Nadia P. Second-order subdifferentials of \(C^{1,1}\) functions and optimality conditions. (English) Zbl 0864.49012 Set-Valued Anal. 4, No. 2, 101-117 (1996). Reviewer: X.Q.Yang (Nedlands) MSC: 49J52 49K30 49J50 PDFBibTeX XMLCite \textit{P. Gr. Georgiev} and \textit{N. P. Zlateva}, Set-Valued Anal. 4, No. 2, 101--117 (1996; Zbl 0864.49012) Full Text: DOI
Páles, Zs.; Zeidan, V. M. Second order necessary conditions for nonsmooth optimum problems with constraints. (English) Zbl 0882.49014 Lakshmikantham, V. (ed.), World congress of nonlinear analysis ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2337-2346 (1996). Reviewer: A.Seeger (Avignon) MSC: 49J52 49K27 49K30 PDFBibTeX XMLCite \textit{Zs. Páles} and \textit{V. M. Zeidan}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2337--2346 (1996; Zbl 0882.49014)
Cherepova, M. F. Estimates of second-order spatial derivatives of the parabolic simple-layer potential. (English. Russian original) Zbl 0885.35020 Differ. Equations 32, No. 4, 548-553 (1996); translation from Differ. Uravn. 32, No. 4, 545-549 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35B65 31A10 35K20 PDFBibTeX XMLCite \textit{M. F. Cherepova}, Differ. Equations 32, No. 4, 548--553 (1996; Zbl 0885.35020); translation from Differ. Uravn. 32, No. 4, 545--549 (1996)
Yang, X. Q. Smoothing approximations to nonsmooth optimization problems. (English) Zbl 0824.49017 J. Aust. Math. Soc., Ser. B 36, No. 3, 274-285 (1995). MSC: 49J52 PDFBibTeX XMLCite \textit{X. Q. Yang}, J. Aust. Math. Soc., Ser. B 36, No. 3, 274--285 (1995; Zbl 0824.49017) Full Text: DOI
Penot, Jean-Paul Sub-Hessians, super-Hessians and conjugation. (English) Zbl 0838.49012 Nonlinear Anal., Theory Methods Appl. 23, No. 6, 689-702 (1994). Reviewer: P.Loewen (Bath) MSC: 49J52 90C25 PDFBibTeX XMLCite \textit{J.-P. Penot}, Nonlinear Anal., Theory Methods Appl. 23, No. 6, 689--702 (1994; Zbl 0838.49012) Full Text: DOI
Yang, Xiaoqi Second-order conditions in \(C^{1,1}\) optimization with applications. (English) Zbl 0804.90114 Numer. Funct. Anal. Optimization 14, No. 5-6, 621-632 (1993). Reviewer: X.Q.Yang (Kensington) MSC: 90C30 90C34 49J52 PDFBibTeX XMLCite \textit{X. Yang}, Numer. Funct. Anal. Optim. 14, No. 5--6, 621--632 (1993; Zbl 0804.90114) Full Text: DOI
Shiraishi, Shunsuke On connections between approximate second-order directional derivative and second-order Dini derivative for convex functions. (English) Zbl 0782.49009 Math. Program., Ser. A 58, No. 2, 257-262 (1993). MSC: 49J50 49J52 PDFBibTeX XMLCite \textit{S. Shiraishi}, Math. Program. 58, No. 2 (A), 257--262 (1993; Zbl 0782.49009) Full Text: DOI
Yang, X. Q.; Jeyakumar, V. Generalized second-order directional derivatives and optimization with \(C^{1,1}\) functions. (English) Zbl 0814.49012 Optimization 26, No. 3-4, 165-185 (1992). MSC: 49J52 49K27 90C30 PDFBibTeX XMLCite \textit{X. Q. Yang} and \textit{V. Jeyakumar}, Optimization 26, No. 3--4, 165--185 (1992; Zbl 0814.49012) Full Text: DOI
Furukawa, Nagata A second-order extension of Ljusternik’s theorem without twice Fréchet differentiability condition. (English) Zbl 0782.49008 Bull. Inf. Cybern. 25, No. 1-2, 53-59 (1992). MSC: 49J50 PDFBibTeX XMLCite \textit{N. Furukawa}, Bull. Inf. Cybern. 25, No. 1--2, 53--59 (1992; Zbl 0782.49008)
Liu, Liping The second-order conditions of nondominated solutions for \(C^{1,1}\) generalized multiobjective mathematical programming. (English) Zbl 0734.90078 Syst. Sci. Math. Sci. 4, No. 2, 128-138 (1991). Reviewer: L.Liu MSC: 90C29 49J52 90C48 PDFBibTeX XMLCite \textit{L. Liu}, Syst. Sci. Math. Sci. 4, No. 2, 128--138 (1991; Zbl 0734.90078)
Studniarski, Marcin Second-order necessary conditions for optimality in nonsmooth nonlinear programming. (English) Zbl 0725.90085 J. Math. Anal. Appl. 154, No. 2, 303-317 (1991). Reviewer: M.Studniarski MSC: 90C30 49K27 49J52 PDFBibTeX XMLCite \textit{M. Studniarski}, J. Math. Anal. Appl. 154, No. 2, 303--317 (1991; Zbl 0725.90085) Full Text: DOI
Yanushauskas, A. A directional-derivative problem for harmonic functions regular in a half-space. (English. Russian original) Zbl 0789.31003 Differ. Equations 27, No. 11, 1389-1398 (1991). MSC: 31B05 31B20 35J25 PDFBibTeX XMLCite \textit{A. Yanushauskas}, Differ. Equations 27, No. 11, 1389--1398 (1991; Zbl 0789.31003)
Cominetti, R.; Correa, R. A generalized second-order derivative in nonsmooth optimization. (English) Zbl 0714.49020 SIAM J. Control Optimization 28, No. 4, 789-809 (1990). MSC: 49J52 49K27 49M15 90C30 26A27 26E15 PDFBibTeX XMLCite \textit{R. Cominetti} and \textit{R. Correa}, SIAM J. Control Optim. 28, No. 4, 789--809 (1990; Zbl 0714.49020) Full Text: DOI
Ioffe, Alexander Composite optimization: Second order conditions, value functions and sensitivity. (English) Zbl 0708.90080 Analysis and optimization of systems, Proc. 9th Int. Conf., Antibes/Fr. 1990, Lect. Notes Control Inf. Sci. 144, 442-451 (1990). Reviewer: A.Seeger MSC: 90C30 49J52 90C31 49J27 PDFBibTeX XML
Hiriart-Urruty, J.-B.; Seeger, A. Calculus rules on a new set-valued second order derivative for convex functions. (English) Zbl 0705.26013 Nonlinear Anal., Theory Methods Appl. 13, No. 6, 721-738 (1989). Reviewer: S.Mirica MSC: 26B05 26B25 49J52 PDFBibTeX XMLCite \textit{J. B. Hiriart-Urruty} and \textit{A. Seeger}, Nonlinear Anal., Theory Methods Appl. 13, No. 6, 721--738 (1989; Zbl 0705.26013) Full Text: DOI
Chinilov, A. Yu. On the solution of the wave equation with directional derivative on the boundary. (Russian) Zbl 0695.35115 Differ. Uravn. 25, No. 9, 1635-1637 (1989). Reviewer: Yu.V.Rogovchenko MSC: 35L05 35L20 35C15 PDFBibTeX XMLCite \textit{A. Yu. Chinilov}, Differ. Uravn. 25, No. 9, 1635--1637 (1989; Zbl 0695.35115)
Dempe, S. On the directional derivative of the optimal solution mapping without linear independence constraint qualification. (English) Zbl 0676.90072 Optimization 20, No. 4, 401-414 (1989). MSC: 90C31 49K40 PDFBibTeX XMLCite \textit{S. Dempe}, Optimization 20, No. 4, 401--414 (1989; Zbl 0676.90072) Full Text: DOI
Kamynin, L. I. A directional-derivative theorem for second-order parabolic equations with weak singularities. II. (English. Russian original) Zbl 0711.35055 Differ. Equations 24, No. 5, 572-582 (1988); translation from Differ. Uravn. 24, No. 5, 863-875 (1988). MSC: 35K10 35B50 PDFBibTeX XMLCite \textit{L. I. Kamynin}, Differ. Equations 24, No. 5, 572--582 (1988; Zbl 0711.35055); translation from Differ. Uravn. 24, No. 5, 863--875 (1988)
Chaney, Robin W. Second-order sufficient conditions in nonsmooth optimization. (English) Zbl 0671.49013 Math. Oper. Res. 13, No. 4, 660-673 (1988). Reviewer: P.Loewen MSC: 49J52 90C30 26B05 49M37 PDFBibTeX XMLCite \textit{R. W. Chaney}, Math. Oper. Res. 13, No. 4, 660--673 (1988; Zbl 0671.49013) Full Text: DOI
Chaney, Robin W. Second-order necessary conditions in semismooth optimization. (English) Zbl 0663.49004 Math. Program., Ser. A 40, No. 1, 95-109 (1988). Reviewer: P.Loewen MSC: 49J52 26B05 90C30 PDFBibTeX XMLCite \textit{R. W. Chaney}, Math. Program. 40, No. 1 (A), 95--109 (1988; Zbl 0663.49004) Full Text: DOI
Malanowski, Kazimierz Higher order sensitivity of solutions to convex programming problems without strict complementarity. (English) Zbl 0655.90058 System modelling and optimization, Proc. 13th IFIP Conf., Tokyo/Jap. 1987, Lect. Notes Control Inf. Sci. 113, 148-164 (1988). Reviewer: A.Göpfert MSC: 90C25 90C31 PDFBibTeX XML
Mossino, J.; Rakotoson, J. M. Isoperimetric inequalities in parabolic equations. (English) Zbl 0652.35053 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 13, 51-73 (1986). Reviewer: A.Canada MSC: 35K20 35B35 35B65 PDFBibTeX XMLCite \textit{J. Mossino} and \textit{J. M. Rakotoson}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 13, 51--73 (1986; Zbl 0652.35053) Full Text: Numdam EuDML
Lemaréchal, C. An introduction to the theory of nonsmooth optimization. (English) Zbl 0613.49017 Optimization 17, 827-858 (1986). Reviewer: M.Studniarski MSC: 49J52 26B25 90C30 26B05 49J50 49N15 90C25 PDFBibTeX XMLCite \textit{C. Lemaréchal}, Optimization 17, 827--858 (1986; Zbl 0613.49017) Full Text: DOI
Cominetti, Roberto; Correa, Rafael Sur une dérivée de second ordre en analyse non différentiable. (On a second order directional derivative in non-differentiable analysis). (French) Zbl 0604.46049 C. R. Acad. Sci., Paris, Sér. I 303, 861-864 (1986). MSC: 46G05 49K27 PDFBibTeX XMLCite \textit{R. Cominetti} and \textit{R. Correa}, C. R. Acad. Sci., Paris, Sér. I 303, 861--864 (1986; Zbl 0604.46049)
Chaney, R. W. On second derivatives for nonsmooth functions. (English) Zbl 0575.49005 Nonlinear Anal., Theory Methods Appl. 9, 1189-1209 (1985). Reviewer: K.Zimmermann MSC: 49J50 26B05 90C30 46G05 49J45 90C25 58C20 PDFBibTeX XMLCite \textit{R. W. Chaney}, Nonlinear Anal., Theory Methods Appl. 9, 1189--1209 (1985; Zbl 0575.49005) Full Text: DOI
Ben-Tal, A.; Zowe, J. Second order optimality conditions for the \(L_ 1\)-minimization problem. (English) Zbl 0566.49013 Appl. Math. Optimization 13, 45-58 (1985). Reviewer: B.Craven MSC: 49K27 46E30 90C48 46G05 49J50 58C20 PDFBibTeX XMLCite \textit{A. Ben-Tal} and \textit{J. Zowe}, Appl. Math. Optim. 13, 45--58 (1985; Zbl 0566.49013) Full Text: DOI
Correa, Rafael; Seeger, Alberto Directional derivative of a minimax function. (English) Zbl 0556.49007 Nonlinear Anal., Theory Methods Appl. 9, 13-22 (1985). Reviewer: K.Zimmermann MSC: 49J50 46G05 90C30 46A03 49J27 58C20 90C25 PDFBibTeX XMLCite \textit{R. Correa} and \textit{A. Seeger}, Nonlinear Anal., Theory Methods Appl. 9, 13--22 (1985; Zbl 0556.49007) Full Text: DOI
Heinrich, Bernd Differenzenverfahren für ein elliptisches Problem mit schiefer Richtungsableitung in der Randbedingung. (German) Zbl 0578.65097 Wiss. Z. Tech. Hochsch. Karl-Marx-Stadt 26, 893-901 (1984). Reviewer: G.Stoyan MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{B. Heinrich}, Wiss. Z. Tech. Hochsch. Karl-Marx-Stadt 26, 893--901 (1984; Zbl 0578.65097)
Kolesnikova, E. A. Subelliptic estimates for the oblique derivative problem in \(L^ p\). (English. Russian original) Zbl 0576.35035 Mosc. Univ. Math. Bull. 39, No. 4, 94-97 (1984); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 87-89 (1984). Reviewer: E.Paliokas MSC: 35J25 35B45 46E35 PDFBibTeX XMLCite \textit{E. A. Kolesnikova}, Mosc. Univ. Math. Bull. 39, No. 4, 94--97 (1984; Zbl 0576.35035); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 87--89 (1984)
Kamynin, L. I.; Khimchenko, B. N. A theorem concerning an infinite derivative for a second order parabolic equation with a nonnegative characteristic form. (English. Russian original) Zbl 0574.35037 Differ. Equations 20, 1484-1491 (1984); translation from Differ. Uravn. 20, No. 12, 2103-2112 (1984). Reviewer: O.Zhautykov MSC: 35K10 35B30 PDFBibTeX XMLCite \textit{L. I. Kamynin} and \textit{B. N. Khimchenko}, Differ. Equations 20, 1484--1491 (1984; Zbl 0574.35037); translation from Differ. Uravn. 20, No. 12, 2103--2112 (1984)
Jittorntrum, Krisorn Solution point differentiability without strict complementarity in nonlinear programming. (English) Zbl 0571.90080 Math. Program. Study 21, 127-138 (1984). MSC: 90C30 90C31 49M37 PDFBibTeX XMLCite \textit{K. Jittorntrum}, Math. Program. Study 21, 127--138 (1984; Zbl 0571.90080) Full Text: DOI
Hiriart-Urruty, J.-B. Calculus rules on the approximate second-order directional derivative of a convex function. (English) Zbl 0557.90077 SIAM J. Control Optimization 22, 381-404 (1984). Reviewer: H.Tuy MSC: 90C25 26B25 90C55 90C30 PDFBibTeX XMLCite \textit{J. B. Hiriart-Urruty}, SIAM J. Control Optim. 22, 381--404 (1984; Zbl 0557.90077) Full Text: DOI
Rockafellar, R. T. Directional differentiability of the optimal value function in a nonlinear programming problem. (English) Zbl 0546.90088 Math. Program. Study 21, 213-226 (1984). Reviewer: J.-B.Hiriart-Urruty MSC: 90C31 49K10 49M37 90C30 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Math. Program. Study 21, 213--226 (1984; Zbl 0546.90088) Full Text: DOI
Auslender, Alfred Stability in mathematical programming with nondifferentiable data. (English) Zbl 0538.49020 SIAM J. Control Optimization 22, 239-254 (1984). Reviewer: M.Hanson MSC: 49K40 90C31 26B05 28A15 26A24 49K10 90C30 26A16 PDFBibTeX XMLCite \textit{A. Auslender}, SIAM J. Control Optim. 22, 239--254 (1984; Zbl 0538.49020) Full Text: DOI
Sokołowski, Jan Optimal control in coefficients of boundary value problems with unilateral constraints. (English) Zbl 0544.49005 Bull. Pol. Acad. Sci., Tech. Sci. 31, 71-81 (1983). Reviewer: U.Raitums MSC: 49J40 35J85 49K20 49J20 35J25 49J45 54A20 PDFBibTeX XMLCite \textit{J. Sokołowski}, Bull. Pol. Acad. Sci., Tech. Sci. 31, 71--81 (1983; Zbl 0544.49005)
Hiriart-Urruty, J.-B. The approximate first-order and second-order directional derivatives for a convex function. (English) Zbl 0514.90069 Mathematical theories of optimization, Proc. Conf., Genova 1981, Lect. Notes Math. 979, 144-177 (1983). MSC: 90C25 90C55 26B25 90-02 PDFBibTeX XML
Hiriart-Urruty, J. B. Approximating a second-order directional derivative for nonsmooth convex functions. (English) Zbl 0507.49021 SIAM J. Control Optimization 20, 783-807 (1982). MSC: 90C55 26B05 90C25 26B25 49J45 PDFBibTeX XMLCite \textit{J. B. Hiriart-Urruty}, SIAM J. Control Optim. 20, 783--807 (1982; Zbl 0507.49021) Full Text: DOI
Auslender, Alfred On the differential properties of the support function of the epsilon- subdifferential of a convex function. (English) Zbl 0505.90067 Math. Program. 24, 257-268 (1982). MSC: 90C30 PDFBibTeX XMLCite \textit{A. Auslender}, Math. Program. 24, 257--268 (1982; Zbl 0505.90067) Full Text: DOI