Tran Van Su; Dinh Dieu Hang Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints. (English) Zbl 07686550 Optimization 72, No. 5, 1171-1198 (2023). MSC: 90C46 90C29 90C32 49J52 PDF BibTeX XML Cite \textit{Tran Van Su} and \textit{Dinh Dieu Hang}, Optimization 72, No. 5, 1171--1198 (2023; Zbl 07686550) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{K. Pastor}, Kybernetika 53, No. 4, 717--729 (2017; Zbl 1424.90288) Full Text: DOI Link
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Dvorská} and \textit{K. Pastor}, Acta Math. Vietnam. 41, No. 2, 265--275 (2016; Zbl 1352.65151) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Dvorská} and \textit{K. Pastor}, Kybernetika 51, No. 6, 1023--1034 (2015; Zbl 1363.49027) Full Text: DOI Link
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. A. Abramson} et al., Optim. Methods Softw. 29, No. 5, 900--918 (2014; Zbl 1298.90101) 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 PDF BibTeX XML Cite \textit{M. Dvorská}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 2, 43--52 (2013; Zbl 1287.49016) Full Text: Link
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{D. Bednařík} and \textit{K. Pastor}, Math. Slovaca 62, No. 5, 995--1005 (2012; Zbl 1313.49025) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{D. Bednařík} and \textit{K. Pastor}, Acta Math. Sin., Engl. Ser. 26, No. 11, 2031--2040 (2010; Zbl 1209.49018) 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 PDF BibTeX XML Cite \textit{D. Bednařík} and \textit{K. Pastor}, RAIRO, Oper. Res. 43, No. 4, 359--372 (2009; Zbl 1193.49016) 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 PDF BibTeX XML Cite \textit{K. Pastor}, Stud. Sci. Math. Hung. 45, No. 3, 333--352 (2008; Zbl 1199.49060) 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 PDF BibTeX XML Cite \textit{H. Li}, J. Sichuan Univ., Nat. Sci. Ed. 44, No. 1, 11--16 (2007; Zbl 1164.41352)
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 PDF BibTeX XML Cite \textit{E. Constantin}, Math. Sci. Res. J. 10, No. 2, 42--56 (2006; Zbl 1106.49041)
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 PDF BibTeX XML Cite \textit{D. Bednarík} and \textit{K. Pastor}, SIAM J. Control Optim. 43, No. 3, 1063--1077 (2004; Zbl 1089.49023) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{D. Goeleven} and \textit{D. Motreanu}, Nonconvex Optim. Appl. 55, 111--122 (2001; Zbl 1043.49010)
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 PDF BibTeX XML Cite \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)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{X. Yang}, Numer. Funct. Anal. Optim. 14, No. 5--6, 621--632 (1993; Zbl 0804.90114) 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 PDF BibTeX XML Cite \textit{X. Q. Yang} and \textit{V. Jeyakumar}, Optimization 26, No. 3--4, 165--185 (1992; Zbl 0814.49012) Full Text: DOI
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 PDF BibTeX XML Cite \textit{L. Liu}, Syst. Sci. Math. Sci. 4, No. 2, 128--138 (1991; Zbl 0734.90078)
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 PDF BibTeX XML Cite \textit{R. Cominetti} and \textit{R. Correa}, SIAM J. Control Optim. 28, No. 4, 789--809 (1990; Zbl 0714.49020) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{R. Cominetti} and \textit{R. Correa}, C. R. Acad. Sci., Paris, Sér. I 303, 861--864 (1986; Zbl 0604.46049)
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 PDF BibTeX XML Cite \textit{A. Auslender}, SIAM J. Control Optim. 22, 239--254 (1984; Zbl 0538.49020) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. B. Hiriart-Urruty}, SIAM J. Control Optim. 20, 783--807 (1982; Zbl 0507.49021) Full Text: DOI
Hiriart-Urruty, Jean-Baptiste Étude de la epsilon-dérivée directionnelle seconde d’une fonction convexe en fonction du paramètre epsilon. (French) Zbl 0484.26008 C. R. Acad. Sci., Paris, Sér. I 293, 585-588 (1981). MSC: 26B05 26B25 PDF BibTeX XML Cite \textit{J.-B. Hiriart-Urruty}, C. R. Acad. Sci., Paris, Sér. I 293, 585--588 (1981; Zbl 0484.26008)
Nguyen, Thua Hop Generalized Green’s matrix of a directional derivative problem for a system of elliptic type in several variables. (English. Russian original) Zbl 0176.09802 Differ. Equations 2(1966), 295-298 (1969); translation from Differ. Uravn. 2, 574-581 (1966). MSC: 35J08 35J47 PDF BibTeX XML Cite \textit{T. H. Nguyen}, Differ. Equations 2, 295--298 (1969; Zbl 0176.09802); translation from Differ. Uravn. 2, 574--581 (1966)
Nguyen, Thua Hop A generalized Green’s matrix for a problem with a directional derivative for a system of elliptic type in several variables. (Verallgemeinerte Greensche Matrix einer Aufgabe mit Richtungsableitung für ein System vom elliptischen Typ mit mehreren Veränderlichen.) (Russian) Zbl 0163.35002 Differ. Uravn. 2, 574-581 (1966). Reviewer: Wolfgang Wendland (Berlin) MSC: 35J08 35J47 PDF BibTeX XML Cite \textit{T. H. Nguyen}, Differ. Uravn. 2, 574--581 (1966; Zbl 0163.35002) Full Text: MNR