Bao, Truong Q.; Huerga, Lidia; Jiménez, Bienvenido; Novo, Vicente Necessary conditions for nondominated solutions in vector optimization. (English) Zbl 1447.49028 J. Optim. Theory Appl. 186, No. 3, 826-842 (2020). MSC: 49J52 49J53 90C29 90C30 PDF BibTeX XML Cite \textit{T. Q. Bao} et al., J. Optim. Theory Appl. 186, No. 3, 826--842 (2020; Zbl 1447.49028) Full Text: DOI
Hassankhali, Sima; Sadeqi, Ildar Some notes on the differentiability of the support function. (English) Zbl 07243025 Bull. Iran. Math. Soc. 46, No. 5, 1211-1222 (2020). MSC: 46G05 49J52 90C29 PDF BibTeX XML Cite \textit{S. Hassankhali} and \textit{I. Sadeqi}, Bull. Iran. Math. Soc. 46, No. 5, 1211--1222 (2020; Zbl 07243025) Full Text: DOI
Su, Tran Van; Hien, Nguyen Duc Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives. (English) Zbl 07220216 Optim. Eng. 21, No. 2, 585-609 (2020). MSC: 90C46 90C29 49J52 49J50 PDF BibTeX XML Cite \textit{T. Van Su} and \textit{N. D. Hien}, Optim. Eng. 21, No. 2, 585--609 (2020; Zbl 07220216) Full Text: DOI
Tung, L. T. On higher-order proto-differentiability of perturbation maps. (English) Zbl 1453.90171 Positivity 24, No. 2, 441-462 (2020). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C31 90C46 49J52 46G05 90C26 90C29 PDF BibTeX XML Cite \textit{L. T. Tung}, Positivity 24, No. 2, 441--462 (2020; Zbl 1453.90171) Full Text: DOI
Ivanov, Vsevolod I. Second-order optimality conditions and Lagrange multiplier characterizations of the solution set in quasiconvex programming. (English) Zbl 07181920 Optimization 69, No. 4, 637-655 (2020). MSC: 90C46 90C26 90C29 26B25 49J52 PDF BibTeX XML Cite \textit{V. I. Ivanov}, Optimization 69, No. 4, 637--655 (2020; Zbl 07181920) Full Text: DOI
Nadi, Mohammad Taghi; Yao, Jen Chih; Zafarani, Jafar Second-order characterization of convex functions and its applications. (English) Zbl 1414.26027 J. Appl. Anal. 25, No. 1, 49-58 (2019). MSC: 26B25 49J40 49J52 49J53 90C26 90C29 90C30 PDF BibTeX XML Cite \textit{M. T. Nadi} et al., J. Appl. Anal. 25, No. 1, 49--58 (2019; Zbl 1414.26027) Full Text: DOI
Vieira, D. A. G.; Lisboa, A. C. A cutting-plane method to nonsmooth multiobjective optimization problems. (English) Zbl 1430.90521 Eur. J. Oper. Res. 275, No. 3, 822-829 (2019). MSC: 90C29 90C30 PDF BibTeX XML Cite \textit{D. A. G. Vieira} and \textit{A. C. Lisboa}, Eur. J. Oper. Res. 275, No. 3, 822--829 (2019; Zbl 1430.90521) Full Text: DOI
Constantin, Elena First-order necessary conditions in locally Lipschitz multiobjective optimization. (English) Zbl 06987979 Optimization 67, No. 9, 1447-1460 (2018). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{E. Constantin}, Optimization 67, No. 9, 1447--1460 (2018; Zbl 06987979) Full Text: DOI
Tung, L. T. On second-order proto-differentiability of perturbation maps. (English) Zbl 1395.90238 Set-Valued Var. Anal. 26, No. 3, 561-579 (2018). MSC: 90C46 49J52 46G05 90C26 90C29 PDF BibTeX XML Cite \textit{L. T. Tung}, Set-Valued Var. Anal. 26, No. 3, 561--579 (2018; Zbl 1395.90238) Full Text: DOI
Su, Tran Van New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces. (English) Zbl 1393.90133 4OR 16, No. 2, 173-198 (2018). MSC: 90C46 91B50 90C29 90C48 49J52 PDF BibTeX XML Cite \textit{T. Van Su}, 4OR 16, No. 2, 173--198 (2018; Zbl 1393.90133) Full Text: DOI
Tung, L. T. Second-order radial-asymptotic derivatives and applications in set-valued vector optimization. (English) Zbl 07297338 Pac. J. Optim. 13, No. 1, 137-153 (2017). MSC: 90C46 49J52 46G05 90C26 90C29 PDF BibTeX XML Cite \textit{L. T. Tung}, Pac. J. Optim. 13, No. 1, 137--153 (2017; Zbl 07297338) Full Text: Link
Ceng, Lu-Chuan; Liou, Yeong-Cheng; Wen, Ching-Feng Generalized vector equilibrium problems and nonsmooth vector optimization. (English) Zbl 1372.49011 J. Adv. Math. Stud. 10, No. 1, 128-142 (2017). MSC: 49J40 90C29 PDF BibTeX XML Cite \textit{L.-C. Ceng} et al., J. Adv. Math. Stud. 10, No. 1, 128--142 (2017; Zbl 1372.49011)
Tran Van Su Optimality conditions for vector equilibrium problems in terms of contingent epiderivatives. (English) Zbl 1346.90806 Numer. Funct. Anal. Optim. 37, No. 5, 640-665 (2016). MSC: 90C46 90C29 90C48 49J52 PDF BibTeX XML Cite \textit{Tran Van Su}, Numer. Funct. Anal. Optim. 37, No. 5, 640--665 (2016; Zbl 1346.90806) Full Text: DOI
Tung, Le Thanh On higher-order adjacent derivative of perturbation map in parametric vector optimization. (English) Zbl 1343.90088 J. Inequal. Appl. 2016, Paper No. 112, 18 p. (2016). MSC: 90C29 90C46 49J52 46G05 90C26 PDF BibTeX XML Cite \textit{L. T. Tung}, J. Inequal. Appl. 2016, Paper No. 112, 18 p. (2016; Zbl 1343.90088) Full Text: DOI
Constantinescu, Alina; Badea, Leonardo; Meghisan, Mădălina Some sufficient optimality conditions in nondiferentiable multiobjective programming. (English) Zbl 1349.90731 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 2, 261-268 (2015). MSC: 90C29 49J52 90C46 PDF BibTeX XML Cite \textit{A. Constantinescu} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 2, 261--268 (2015; Zbl 1349.90731)
Hamel, Andreas H.; Heyde, Frank; Löhne, Andreas; Rudloff, Birgit; Schrage, Carola Set optimization – a rather short introduction. (English) Zbl 1337.49001 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, 65-141 (2015). MSC: 49-02 49J53 49J52 49N15 90C29 90C46 90C48 91B30 PDF BibTeX XML Cite \textit{A. H. Hamel} et al., in: Set optimization and applications -- the state of the art. From set relations to set-valued risk measures. Berlin: Springer. 65--141 (2015; Zbl 1337.49001) Full Text: DOI arXiv
Lee, Gue Myung; Lee, Jae Hyoung On nonsmooth optimality theorems for robust multiobjective optimization problems. (English) Zbl 1332.90240 J. Nonlinear Convex Anal. 16, No. 10, 2039-2052 (2015). MSC: 90C29 90C46 90C25 PDF BibTeX XML Cite \textit{G. M. Lee} and \textit{J. H. Lee}, J. Nonlinear Convex Anal. 16, No. 10, 2039--2052 (2015; Zbl 1332.90240) Full Text: Link
Ahmad, Izhar; Singh, Deepak; Dar, Bilal Ahmad Optimality conditions in multiobjective programming problems with interval valued objective functions. (English) Zbl 1329.49040 Control Cybern. 44, No. 1, 19-45 (2015). MSC: 49K99 90C29 49J52 49J53 PDF BibTeX XML Cite \textit{I. Ahmad} et al., Control Cybern. 44, No. 1, 19--45 (2015; Zbl 1329.49040)
Yan, Chunlei; Feng, Baocheng Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (\(\Phi\), \(\rho\))-\(V\)-type I functions. (English) Zbl 1327.90294 J. Math. Model. Algorithms Oper. Res. 14, No. 2, 159-172 (2015). MSC: 90C29 90C26 90C46 PDF BibTeX XML Cite \textit{C. Yan} and \textit{B. Feng}, J. Math. Model. Algorithms Oper. Res. 14, No. 2, 159--172 (2015; Zbl 1327.90294) Full Text: DOI
Mansour, M. Ait; Riahi, H. Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming. (English) Zbl 1312.49013 Optimization 64, No. 4, 771-797 (2015). MSC: 49J52 49J53 90C46 90C29 90C26 58C07 06A06 PDF BibTeX XML Cite \textit{M. A. Mansour} and \textit{H. Riahi}, Optimization 64, No. 4, 771--797 (2015; Zbl 1312.49013) Full Text: DOI
Zou, Li; Wen, Xin; Karimi, Hamid Reza; Shi, Yan The identification of convex function on Riemannian manifold. (English) Zbl 1407.49019 Math. Probl. Eng. 2014, Article ID 273514, 6 p. (2014). MSC: 49J52 26B25 90C29 PDF BibTeX XML Cite \textit{L. Zou} et al., Math. Probl. Eng. 2014, Article ID 273514, 6 p. (2014; Zbl 1407.49019) Full Text: DOI
Kharbanda, Pallavi; Agarwal, Divya; Sinha, Deepa Non-smooth multiobjective programming problem involving (\(d_I - {\rho} - {\sigma}\))-V-type I functions. (English) Zbl 1308.90163 Int. J. Oper. Res. 21, No. 1, 1-24 (2014). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{P. Kharbanda} et al., Int. J. Oper. Res. 21, No. 1, 1--24 (2014; Zbl 1308.90163) Full Text: DOI
Grad, Sorin-Mihai; Pop, Emilia-Loredana Alternative generalized Wolfe type and Mond-Weir type vector duality. (English) Zbl 1307.49037 J. Nonlinear Convex Anal. 15, No. 5, 867-884 (2014). Reviewer: Christian Clason (Graz) MSC: 49N15 49J52 90C25 90C29 PDF BibTeX XML Cite \textit{S.-M. Grad} and \textit{E.-L. Pop}, J. Nonlinear Convex Anal. 15, No. 5, 867--884 (2014; Zbl 1307.49037) Full Text: Link
Anh, Nguyen Le Hoang; Khanh, Phan Quoc Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives. (English) Zbl 1326.90075 J. Glob. Optim. 58, No. 4, 693-709 (2014). MSC: 90C29 90C46 49J52 46G05 90C26 PDF BibTeX XML Cite \textit{N. Le H. Anh} and \textit{P. Q. Khanh}, J. Glob. Optim. 58, No. 4, 693--709 (2014; Zbl 1326.90075) Full Text: DOI
Suneja, S. K.; Sharma, Sunila; Kapoor, Malti Modified objective function method in nonsmooth vector optimization over cones. (English) Zbl 1321.90123 Optim. Lett. 8, No. 4, 1361-1373 (2014). MSC: 90C29 PDF BibTeX XML Cite \textit{S. K. Suneja} et al., Optim. Lett. 8, No. 4, 1361--1373 (2014; Zbl 1321.90123) Full Text: DOI
Thibault, L.; Zakaryan, T. Convergence of subdifferentials and normal cones in locally uniformly convex Banach space. (English) Zbl 1283.49017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 110-134 (2014). MSC: 49J52 58C20 90C29 90C30 PDF BibTeX XML Cite \textit{L. Thibault} and \textit{T. Zakaryan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 110--134 (2014; Zbl 1283.49017) Full Text: DOI
Srisuma, Sorawoot Minimum distance estimators for dynamic games. (English) Zbl 1419.91123 Quant. Econ. 4, No. 3, 549-583 (2013). MSC: 91A25 62M05 PDF BibTeX XML Cite \textit{S. Srisuma}, Quant. Econ. 4, No. 3, 549--583 (2013; Zbl 1419.91123) Full Text: DOI
Kim, Ho; Kim, Do Nonconvex composite multiobjective nonsmooth fractional programming. (English) Zbl 1291.90298 J. Inequal. Appl. 2013, Paper No. 508, 10 p. (2013). MSC: 90C46 90C29 90C32 PDF BibTeX XML Cite \textit{H. Kim} and \textit{D. Kim}, J. Inequal. Appl. 2013, Paper No. 508, 10 p. (2013; Zbl 1291.90298) Full Text: DOI
Antczak, Tadeusz Nondifferentiable \((\Phi,\rho)\)-type I and generalized \((\Phi,\rho)\)-type I functions in nonsmooth vector optimization. (English) Zbl 1285.90061 J. Appl. Anal. 19, No. 2, 247-270 (2013). MSC: 90C30 90C29 26B25 49J52 PDF BibTeX XML Cite \textit{T. Antczak}, J. Appl. Anal. 19, No. 2, 247--270 (2013; Zbl 1285.90061) Full Text: DOI
Kharbanda, Pallavi; Agarwal, Divya; Sinha, Deepa Generalized univex functions in nonsmooth multiobjective optimization. (English) Zbl 1280.65054 J. Math. Model. Algorithms Oper. Res. 12, No. 4, 393-406 (2013). MSC: 65K05 90C29 PDF BibTeX XML Cite \textit{P. Kharbanda} et al., J. Math. Model. Algorithms Oper. Res. 12, No. 4, 393--406 (2013; Zbl 1280.65054) Full Text: DOI
Kharbanda, Pallavi; Agarwal, Divya; Sinha, Deepa Second order nonsmooth multiobjective fractional programming problem involving support functions. (English) Zbl 1304.90188 J. Appl. Math. Inform. 31, No. 5-6, 835-852 (2013). MSC: 90C29 90C32 90C30 90C46 90C25 65K05 PDF BibTeX XML Cite \textit{P. Kharbanda} et al., J. Appl. Math. Inform. 31, No. 5--6, 835--852 (2013; Zbl 1304.90188) Full Text: DOI Link
Anh, Nguyen Le Hoang; Khanh, Phan Quoc Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives. (English) Zbl 1300.90063 J. Glob. Optim. 56, No. 2, 519-536 (2013). MSC: 90C46 49J52 46G05 90C26 90C29 PDF BibTeX XML Cite \textit{N. Le H. Anh} and \textit{P. Q. Khanh}, J. Glob. Optim. 56, No. 2, 519--536 (2013; Zbl 1300.90063) Full Text: DOI
Oveisiha, M.; Zafarani, J. Super efficient solutions for set-valued maps. (English) Zbl 1278.90363 Optimization 62, No. 6, 817-834 (2013). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{M. Oveisiha} and \textit{J. Zafarani}, Optimization 62, No. 6, 817--834 (2013; Zbl 1278.90363) Full Text: DOI
Ansari, Qamrul Hasan; Rezaei, Mahboubeh Generalized vector variational-like inequalities and vector optimization in Asplund spaces. (English) Zbl 1273.90182 Optimization 62, No. 6, 721-734 (2013). MSC: 90C29 49J40 PDF BibTeX XML Cite \textit{Q. H. Ansari} and \textit{M. Rezaei}, Optimization 62, No. 6, 721--734 (2013; Zbl 1273.90182) Full Text: DOI
Oveisiha, M.; Zafarani, J. Generalized Minty vector variational-like inequalities and vector optimization problems in Asplund spaces. (English) Zbl 1269.90117 Optim. Lett. 7, No. 4, 709-721 (2013). MSC: 90C33 90C29 PDF BibTeX XML Cite \textit{M. Oveisiha} and \textit{J. Zafarani}, Optim. Lett. 7, No. 4, 709--721 (2013; Zbl 1269.90117) Full Text: DOI
Sharma, Sarita; Ahmad, I. Sufficiency in nonsmooth multiobjective fractional programming. (English) Zbl 1286.90139 J. Appl. Math. Inform. 31, No. 1-2, 189-197 (2013). MSC: 90C29 90C32 90C30 90C46 PDF BibTeX XML Cite \textit{S. Sharma} and \textit{I. Ahmad}, J. Appl. Math. Inform. 31, No. 1--2, 189--197 (2013; Zbl 1286.90139) Full Text: DOI Link
Mishra, S. K.; Laha, Vivek; Verma, R. U. Generalized vector variational-like inequalities and nonsmooth vector optimization of radially \((\eta,\alpha)\)-continuous functions. (English) Zbl 1236.49020 Adv. Nonlinear Var. Inequal. 14, No. 2, 1-18 (2011). MSC: 49J40 49J52 90C29 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., Adv. Nonlinear Var. Inequal. 14, No. 2, 1--18 (2011; Zbl 1236.49020)
Le Hoang Anh, Nguyen; Khanh, Phan Quoc; Tung, Le Thanh Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization. (English) Zbl 1251.90386 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7365-7379 (2011). MSC: 90C46 49J52 46G05 90C26 90C29 PDF BibTeX XML Cite \textit{N. Le Hoang Anh} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7365--7379 (2011; Zbl 1251.90386) Full Text: DOI
Boţ, Radu Ioan; Grad, Sorin-Mihai Extending the classical vector Wolfe and Mond-Weir duality concepts via perturbations. (English) Zbl 1214.49035 J. Nonlinear Convex Anal. 12, No. 1, 81-101 (2011). MSC: 49N15 90C25 90C29 49J52 PDF BibTeX XML Cite \textit{R. I. Boţ} and \textit{S.-M. Grad}, J. Nonlinear Convex Anal. 12, No. 1, 81--101 (2011; Zbl 1214.49035) Full Text: Link
Ginchev, Ivan; Guerraggio, Angelo Second-order conditions for constrained vector optimization problems with \(\ell \)-stable data. (English) Zbl 1237.90221 Optimization 60, No. 1-3, 179-199 (2011). MSC: 90C29 90C30 90C46 49J52 PDF BibTeX XML Cite \textit{I. Ginchev} and \textit{A. Guerraggio}, Optimization 60, No. 1--3, 179--199 (2011; Zbl 1237.90221) Full Text: DOI
Gutiérrez, César; Jiménez, Bienvenido; Novo, Vicente Higher order strong convexity and global strict minimizers in multiobjective optimization. (English) Zbl 1213.90219 J. Convex Anal. 18, No. 1, 85-103 (2011). Reviewer: Rita Pini (Milano) MSC: 90C29 90C46 52A41 49K27 49J52 PDF BibTeX XML Cite \textit{C. Gutiérrez} et al., J. Convex Anal. 18, No. 1, 85--103 (2011; Zbl 1213.90219) Full Text: Link
Ginchev, Ivan On scalar and vector \(\ell \)-stable functions. (English) Zbl 1205.26007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 182-194 (2011). MSC: 26A16 90C29 90C46 49J52 PDF BibTeX XML Cite \textit{I. Ginchev}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 182--194 (2011; Zbl 1205.26007) Full Text: DOI
Mishra, S. K.; Singh, Vinay; Wang, S. Y.; Lai, K. K. Optimality and duality for nonsmooth multiobjective optimization problems with generalized \(V-r\)-invexity. (English) Zbl 1276.90063 J. Appl. Anal. 16, No. 1, 49-58 (2010). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., J. Appl. Anal. 16, No. 1, 49--58 (2010; Zbl 1276.90063) Full Text: DOI
Ginchev, Ivan Vector optimization problems with quasiconvex constraints. (English) Zbl 1180.90288 J. Glob. Optim. 44, No. 1, 111-130 (2009). Reviewer: Matthias Ehrgott (Auckland) MSC: 90C29 90C46 90C26 26B25 49J52 PDF BibTeX XML Cite \textit{I. Ginchev}, J. Glob. Optim. 44, No. 1, 111--130 (2009; Zbl 1180.90288) Full Text: DOI
Rezaie, M.; Zafarani, J. Vector optimization and variational-like inequalities. (English) Zbl 1176.90556 J. Glob. Optim. 43, No. 1, 47-66 (2009). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C29 47J20 26B25 49J52 PDF BibTeX XML Cite \textit{M. Rezaie} and \textit{J. Zafarani}, J. Glob. Optim. 43, No. 1, 47--66 (2009; Zbl 1176.90556) Full Text: DOI
Liu, Sanming A first-order smoothing method for minimizing the sum of the \(r\)-largest functions. (Chinese. English summary) Zbl 1183.90326 J. Jiangsu Univ. Sci. Technol., Nat. Sci. 22, No. 6, 87-90 (2008). MSC: 90C25 90C29 90B85 PDF BibTeX XML Cite \textit{S. Liu}, J. Jiangsu Univ. Sci. Technol., Nat. Sci. 22, No. 6, 87--90 (2008; Zbl 1183.90326)
Truong Quang Bao; Gupta, Pankaj; Mordukhovich, Boris S. Suboptimality conditions for mathematical programs with equilibrium constraints. (English) Zbl 1169.49024 Taiwanese J. Math. 12, No. 9, 2569-2592 (2008). MSC: 49K24 90C29 90C48 46G05 49J53 49J52 PDF BibTeX XML Cite \textit{Truong Quang Bao} et al., Taiwanese J. Math. 12, No. 9, 2569--2592 (2008; Zbl 1169.49024) Full Text: DOI
Studniarski, Marcin Weak sharp minima in multiobjective optimization. (English) Zbl 1227.90036 Control Cybern. 36, No. 4, 925-937 (2007). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{M. Studniarski}, Control Cybern. 36, No. 4, 925--937 (2007; Zbl 1227.90036) Full Text: EuDML
Dempe, S.; Dutta, J.; Mordukhovich, B. S. New necessary optimality conditions in optimistic bilevel programming. (English) Zbl 1172.90481 Optimization 56, No. 5-6, 577-604 (2007). MSC: 90C29 49J52 49J53 PDF BibTeX XML Cite \textit{S. Dempe} et al., Optimization 56, No. 5--6, 577--604 (2007; Zbl 1172.90481) Full Text: DOI
Ginchev, Ivan; Guerraggio, Angelo; Rocca, Matteo From scalar to vector optimization. (English) Zbl 1164.90399 Appl. Math., Praha 51, No. 1, 5-36 (2006). MSC: 90C29 90C30 49J52 PDF BibTeX XML Cite \textit{I. Ginchev} et al., Appl. Math., Praha 51, No. 1, 5--36 (2006; Zbl 1164.90399) Full Text: DOI EuDML
Nobakhtian, S. Infine functions and nonsmooth multiobjective optimization problems. (English) Zbl 1190.90194 Comput. Math. Appl. 51, No. 9-10, 1385-1394 (2006). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{S. Nobakhtian}, Comput. Math. Appl. 51, No. 9--10, 1385--1394 (2006; Zbl 1190.90194) Full Text: DOI
Goh, Mark; Meng, Fanwen On the semismoothness of projection mappings and maximum eigenvalue functions. (English) Zbl 1128.49015 J. Glob. Optim. 35, No. 4, 653-673 (2006). MSC: 49J52 49M15 90B22 90C29 90C31 90C46 PDF BibTeX XML Cite \textit{M. Goh} and \textit{F. Meng}, J. Glob. Optim. 35, No. 4, 653--673 (2006; Zbl 1128.49015) Full Text: DOI
Li, X. F.; Zhang, J. Z. Stronger Kuhn-Tucker type conditions in nonsmooth multiobjective optimization: Locally Lipschitz case. (English) Zbl 1116.90093 J. Optim. Theory Appl. 127, No. 2, 367-388 (2005). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{X. F. Li} and \textit{J. Z. Zhang}, J. Optim. Theory Appl. 127, No. 2, 367--388 (2005; Zbl 1116.90093) Full Text: DOI
Pham Huu Sach; Kim, Do Sang; Lee, Gue Myung Generalized convexity and nonsmooth problems of vector optimization. (English) Zbl 1137.90658 J. Glob. Optim. 31, No. 3, 383-403 (2005). MSC: 90C29 26B25 90C26 49J52 PDF BibTeX XML Cite \textit{Pham Huu Sach} et al., J. Glob. Optim. 31, No. 3, 383--403 (2005; Zbl 1137.90658) Full Text: DOI
Basaeva, E. K. Necessary conditions for an extremum in vector quasidifferentiable programs. (Russian) Zbl 1113.90362 Vladikavkaz. Mat. Zh. 6, No. 1, 13-25 (2004). MSC: 90C29 90C46 49J52 46G05 90C30 PDF BibTeX XML Cite \textit{E. K. Basaeva}, Vladikavkaz. Mat. Zh. 6, No. 1, 13--25 (2004; Zbl 1113.90362) Full Text: EMIS
Maeda, T. Second-order conditions for efficiency in nonsmooth multiobjective optimization problems. (English) Zbl 1082.90106 J. Optimization Theory Appl. 122, No. 3, 521-538 (2004). MSC: 90C29 49J52 90C46 PDF BibTeX XML Cite \textit{T. Maeda}, J. Optim. Theory Appl. 122, No. 3, 521--538 (2004; Zbl 1082.90106) Full Text: DOI
Cusano, Claudio; Fini, Matteo; La Torre, Davide Characterizations of convex vector functions and optimization. (English) Zbl 1089.49024 JIPAM, J. Inequal. Pure Appl. Math. 5, No. 4, Paper No. 101, 10 p. (2004). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 26A24 26B25 90C25 26B12 52A41 90C29 PDF BibTeX XML Cite \textit{C. Cusano} et al., JIPAM, J. Inequal. Pure Appl. Math. 5, No. 4, Paper No. 101, 10 p. (2004; Zbl 1089.49024) Full Text: EuDML
Mishra, S. K.; Giorgi, G.; Wang, S. Y. Duality in vector optimization in Banach spaces with generalized convexity. (English) Zbl 1119.90049 J. Glob. Optim. 29, No. 4, 415-424 (2004). Reviewer: Kaisa Miettinen (Helsinki) MSC: 90C29 90C46 49K27 90C48 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., J. Glob. Optim. 29, No. 4, 415--424 (2004; Zbl 1119.90049) Full Text: DOI
Kuk, H.; Tanino, T. Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions. (English) Zbl 1140.90490 Comput. Math. Appl. 45, No. 10-11, 1497-1506 (2003). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{H. Kuk} and \textit{T. Tanino}, Comput. Math. Appl. 45, No. 10--11, 1497--1506 (2003; Zbl 1140.90490) Full Text: DOI
Flores-Bazán, Fabián Radial epiderivatives and asymptotic functions in nonconvex vector optimization. (English) Zbl 1046.46035 SIAM J. Optim. 14, No. 1, 284-305 (2003). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 46G05 46N10 49J52 90C29 90C46 PDF BibTeX XML Cite \textit{F. Flores-Bazán}, SIAM J. Optim. 14, No. 1, 284--305 (2003; Zbl 1046.46035) Full Text: DOI
Benoist, J. Characterization of quasiconvexity for locally Lipschitz vector-valued functions. (English) Zbl 1026.49014 Optimization 52, No. 2, 145-152 (2003). MSC: 49J52 26B25 90C29 26E25 PDF BibTeX XML Cite \textit{J. Benoist}, Optimization 52, No. 2, 145--152 (2003; Zbl 1026.49014) Full Text: DOI
La Torre, Davide On generalized derivatives for \(C^{1,1}\) vector optimization problems. (English) Zbl 1023.90058 J. Appl. Math. 2003, No. 7, 365-376 (2003). MSC: 90C29 49J52 90C30 90C46 26B25 46N10 PDF BibTeX XML Cite \textit{D. La Torre}, J. Appl. Math. 2003, No. 7, 365--376 (2003; Zbl 1023.90058) Full Text: DOI EuDML
Ginchev, Ivan Higher order optimality conditions in nonsmooth vector optimization. (English) Zbl 1079.90596 J. Stat. Manag. Syst. 5, No. 1-3, 321-339 (2002). MSC: 90C29 49J52 90C46 PDF BibTeX XML Cite \textit{I. Ginchev}, J. Stat. Manag. Syst. 5, No. 1--3, 321--339 (2002; Zbl 1079.90596) Full Text: DOI
Degiovanni, Marco; Lucchetti, Roberto; Ribarska, Nadezhda Critical point theory for vector valued functions. (English) Zbl 1023.49008 J. Convex Anal. 9, No. 2, 415-428 (2002). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 49J40 58E05 49J52 58K05 90C29 49J53 PDF BibTeX XML Cite \textit{M. Degiovanni} et al., J. Convex Anal. 9, No. 2, 415--428 (2002; Zbl 1023.49008)
Bebu, I.; Ureche, G. Efficiency in terms of Lagrangian. (English) Zbl 1033.90114 Appl. Sci. 3, No. 1, 11-19 (2001). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{I. Bebu} and \textit{G. Ureche}, Appl. Sci. 3, No. 1, 11--19 (2001; Zbl 1033.90114) Full Text: EuDML
Lin, Lai-Jiu Optimization of pre-invex set-valued functions. (English) Zbl 1017.90103 Cho, Yeol Je (ed.), Fixed point theory and applications. Proceedings of the international conference on mathematical analysis and applications, Chinju, Korea, August 3-4, 1998. Huntington, NY: Nova Science Publishers. 193-208 (2000). MSC: 90C29 49J52 54H25 PDF BibTeX XML Cite \textit{L.-J. Lin}, in: Fixed point theory and applications. Proceedings of the international conference on mathematical analysis and applications, Chinju, Korea, August 3--4, 1998. Huntington, NY: Nova Science Publishers. 193--208 (2000; Zbl 1017.90103)
Tan, Nguyen Xuan; Tinh, Phan Nhat On conjugate maps and directional derivatives of convex vector functions. (English) Zbl 1012.49015 Acta Math. Vietnam. 25, No. 3, 315-345 (2000). Reviewer: N.Hadjisavvas (Karlovassi) MSC: 49J52 49J53 47H04 47N10 54C60 90C29 47H07 PDF BibTeX XML Cite \textit{N. X. Tan} and \textit{P. N. Tinh}, Acta Math. Vietnam. 25, No. 3, 315--345 (2000; Zbl 1012.49015)
Giorgi, G.; Guerraggio, A. Nonsmooth vector-valued invex functions and applications. (English) Zbl 0968.90059 J. Inf. Optim. Sci. 21, No. 2, 243-255 (2000). MSC: 90C29 90C26 49J52 PDF BibTeX XML Cite \textit{G. Giorgi} and \textit{A. Guerraggio}, J. Inf. Optim. Sci. 21, No. 2, 243--255 (2000; Zbl 0968.90059) Full Text: DOI
Belytschko, Ted; Liu, Wing Kam; Moran, Brian Nonlinear finite elements for continua and structures. (English) Zbl 0959.74001 Chichester: Wiley. xvi, 650 p. (2000). Reviewer: Hans Bufler (Gräfelfing) MSC: 74-02 74S05 74B20 74Cxx 74Kxx 74M15 74M20 PDF BibTeX XML Cite \textit{T. Belytschko} et al., Nonlinear finite elements for continua and structures. Chichester: Wiley (2000; Zbl 0959.74001)
Lee, Gue Myung On relations between vector variational inequality and vector optimization problem. (English) Zbl 0969.49003 Yang, Xiaoqi (ed.) et al., Progress in optimization. Contributions from Australasia. Papers of the 5th optimization days (OD) mini-conference, Univ. of Western Australia, Perth, Australia, June 29-30, 1998. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 39, 167-179 (2000). Reviewer: Bruce D.Craven (Parkville) MSC: 49J40 90C29 49J52 PDF BibTeX XML Cite \textit{G. M. Lee}, Appl. Optim. 39, 167--179 (2000; Zbl 0969.49003)
Brandão, Adilson J. V.; Rojas-Medar, Marko A.; Silva, Geraldo N. Introduction to invex differentiable functions with applications to optimization. (Portuguese) Zbl 1041.90535 Bol. Soc. Parana. Mat. (2) 19, No. 1-2, 51-65 (1999). MSC: 90C46 49J52 90C30 90C25 90C29 PDF BibTeX XML Cite \textit{A. J. V. Brandão} et al., Bol. Soc. Parana. Mat. (2) 19, No. 1--2, 51--65 (1999; Zbl 1041.90535)
Phan Quoc Khanh; Tran Hue Nuong; Théra, Michel On duality in nonconvex vector optimization in Banach spaces using augmented Lagrangians. (English) Zbl 0916.90243 Positivity 3, No. 1, 49-64 (1999). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{Phan Quoc Khanh} et al., Positivity 3, No. 1, 49--64 (1999; Zbl 0916.90243) Full Text: DOI
Zaffaroni, Alberto Codifferentiable mappings with applications to vector optimality. (English) Zbl 0946.49012 PLISKA, Stud. Math. Bulg. 12, 97-108 (1998). Reviewer: N.I.Yanev (Sofia) MSC: 49J52 90C29 26A27 47N10 PDF BibTeX XML Cite \textit{A. Zaffaroni}, PLISKA, Stud. Math. Bulg. 12, 97--108 (1998; Zbl 0946.49012)
Afanas’ev, A. P. Local variational problems under functional constraints. (English. Russian original) Zbl 0957.49005 Differ. Equations 34, No. 11, 1459-1463 (1998); translation from Differ. Uravn. 34, No. 11, 1459-1463 (1998). MSC: 49J15 PDF BibTeX XML Cite \textit{A. P. Afanas'ev}, Differ. Equations 34, No. 11, 1459--1463 (1998; Zbl 0957.49005); translation from Differ. Uravn. 34, No. 11, 1459--1463 (1998)
Liu, Sanming; Gao, Kequan Duality in nonsmooth multiobjective fractional programming. (Chinese. English summary) Zbl 0936.90046 J. Eng. Math., Xi’an 15, No. 1, 105-108, 112 (1998). MSC: 90C29 49N15 PDF BibTeX XML Cite \textit{S. Liu} and \textit{K. Gao}, J. Eng. Math., Xi'an 15, No. 1, 105--108, 112 (1998; Zbl 0936.90046)
Chen, G. Y.; Huang, X. X. Stability results for Ekeland’s \(\varepsilon\) variational principle for vector valued functions. (English) Zbl 0941.49011 Math. Methods Oper. Res. 48, No. 1, 97-103 (1998). Reviewer: J.Guddat (Berlin) MSC: 49J45 90C29 90C31 49J52 PDF BibTeX XML Cite \textit{G. Y. Chen} and \textit{X. X. Huang}, Math. Methods Oper. Res. 48, No. 1, 97--103 (1998; Zbl 0941.49011) Full Text: DOI
Ermol’ev, Yu. M.; Norkin, V. I. Stochastic generalized gradient method for nonconvex nonsmooth stochastic optimization. (English. Russian original) Zbl 0930.90074 Cybern. Syst. Anal. 34, No. 2, 196-215 (1998); translation from Kibern. Sist. Anal. 1998, No. 2, 50-71 (1998). Reviewer: J.Dupačová (Praha) MSC: 90C15 49J52 90C26 65K05 PDF BibTeX XML Cite \textit{Yu. M. Ermol'ev} and \textit{V. I. Norkin}, Cybern. Syst. Anal. 34, No. 2, 196--215 (1998; Zbl 0930.90074); translation from Kibern. Sist. Anal. 1998, No. 2, 50--71 (1998) Full Text: DOI
Kuk, Hun; Lee, Gue Myung; Kim, Do Sang Nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity. (English) Zbl 0910.90242 Indian J. Pure Appl. Math. 29, No. 4, 405-412 (1998). MSC: 90C29 26B25 49J52 PDF BibTeX XML Cite \textit{H. Kuk} et al., Indian J. Pure Appl. Math. 29, No. 4, 405--412 (1998; Zbl 0910.90242)
Huang, Zhenghai; Hu, Shigeng; Shen, Yi Optimality and duality of nonconvex and nonsmooth programming. (Chinese. English summary) Zbl 0911.90289 J. Huazhong Univ. Sci. Technol. 25, No. 1, 99-102 (1997). MSC: 90C29 49J52 90C20 26B25 PDF BibTeX XML Cite \textit{Z. Huang} et al., J. Huazhong Univ. Sci. Technol. 25, No. 1, 99--102 (1997; Zbl 0911.90289)
Craven, B. D.; Do Van Luu A method for establishing optimality conditions for a nonsmooth vector-valued minimax problem. (English) Zbl 0892.90151 J. Optim. Theory Appl. 95, No. 2, 295-304 (1997). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{B. D. Craven} and \textit{Do Van Luu}, J. Optim. Theory Appl. 95, No. 2, 295--304 (1997; Zbl 0892.90151) Full Text: DOI
Görges, Christiane; Ratschek, Helmut \(\varepsilon\)-intervals in nonsmooth optimization. (English) Zbl 0898.90122 Gritzmann, Peter (ed.) et al., Recent advances in optimization. Proceedings of the 8th French-German conference on Optimization. Trier, Germany, July 21–26, 1996. Berlin: Springer. Lect. Notes Econ. Math. Syst. 452, 75-89 (1997). MSC: 90C30 65K05 90C26 65G30 PDF BibTeX XML Cite \textit{C. Görges} and \textit{H. Ratschek}, Lect. Notes Econ. Math. Syst. 452, 75--89 (1997; Zbl 0898.90122)
Rodríguez-Marín, Luis; Novo-Sanjurjo, Vicente Optimality conditions in non-differentiable multiobjective programming. (Spanish. English summary) Zbl 0934.90069 Rev. Invest. Oper. 17, No. 1-3, 3-9 (1996). MSC: 90C29 PDF BibTeX XML Cite \textit{L. Rodríguez-Marín} and \textit{V. Novo-Sanjurjo}, Rev. Invest. Oper. 17, No. 1--3, 3--9 (1996; Zbl 0934.90069)
Craven, B. D.; Glover, B. M. An approach to vector subdifferentials. (English) Zbl 0868.90107 Optimization 38, No. 3, 237-251 (1996). MSC: 90C30 90C34 90C29 49J52 PDF BibTeX XML Cite \textit{B. D. Craven} and \textit{B. M. Glover}, Optimization 38, No. 3, 237--251 (1996; Zbl 0868.90107) Full Text: DOI
Mishra, S. K. On sufficiency and duality for generalized quasiconvex nonsmooth programs. (English) Zbl 0868.90100 Optimization 38, No. 3, 223-235 (1996). MSC: 90C29 26B25 49J52 PDF BibTeX XML Cite \textit{S. K. Mishra}, Optimization 38, No. 3, 223--235 (1996; Zbl 0868.90100) Full Text: DOI
Mishra, S. K. Lagrange multipliers saddle points and scalarizations in composite multiobjective nonsmooth programming. (English) Zbl 0868.90099 Optimization 38, No. 2, 93-105 (1996). MSC: 90C29 49J52 26B25 PDF BibTeX XML Cite \textit{S. K. Mishra}, Optimization 38, No. 2, 93--105 (1996; Zbl 0868.90099) Full Text: DOI
Zalmai, G. J. Proper efficiency and duality for a class of constrained multiobjective fractional optimal control problems containing arbitrary norms. (English) Zbl 0890.49016 J. Optimization Theory Appl. 90, No. 2, 435-456 (1996). Reviewer: R.N.Kaul (Delhi) MSC: 49N15 90C29 PDF BibTeX XML Cite \textit{G. J. Zalmai}, J. Optim. Theory Appl. 90, No. 2, 435--456 (1996; Zbl 0890.49016) Full Text: DOI
Liu, J. C. Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions. (English) Zbl 0867.90095 Optimization 37, No. 1, 27-39 (1996). MSC: 90C29 90C32 49J52 PDF BibTeX XML Cite \textit{J. C. Liu}, Optimization 37, No. 1, 27--39 (1996; Zbl 0867.90095) Full Text: DOI
Liu, J. C. Optimality and duality for multiobjective fractional programming involving non-smooth \((F,\rho)\)-convex functions. (English) Zbl 0854.90122 Optimization 36, No. 4, 333-346 (1996). MSC: 90C29 90C32 49J52 26B25 PDF BibTeX XML Cite \textit{J. C. Liu}, Optimization 36, No. 4, 333--346 (1996; Zbl 0854.90122) Full Text: DOI
Preda, V. Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions. (English) Zbl 0855.90112 Optimization 36, No. 3, 219-230 (1996). MSC: 90C29 49J52 90C30 PDF BibTeX XML Cite \textit{V. Preda}, Optimization 36, No. 3, 219--230 (1996; Zbl 0855.90112) Full Text: DOI
Au, Kelly T. A primal-dual approach to inexact subgradient methods. (English) Zbl 0853.90104 Math. Program. 72, No. 3 (A), 259-272 (1996). MSC: 90C30 49J52 90C15 90C05 PDF BibTeX XML Cite \textit{K. T. Au}, Math. Program. 72, No. 3 (A), 259--272 (1996; Zbl 0853.90104) Full Text: DOI
Mishra, S. K.; Mukherjee, R. N. Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency. (English) Zbl 0855.90115 Optimization 34, No. 1, 53-66 (1995). MSC: 90C29 49J52 26B25 PDF BibTeX XML Cite \textit{S. K. Mishra} and \textit{R. N. Mukherjee}, Optimization 34, No. 1, 53--66 (1995; Zbl 0855.90115) Full Text: DOI
Yin, Zhiwen; Li, Yuanxi Optimization and duality of cone-d.c. programming. (English) Zbl 0851.90111 Chin. Ann. Math., Ser. B 16, No. 4, 499-508 (1995). Reviewer: R.Nehse (Ilmenau) MSC: 90C29 49J52 90C26 PDF BibTeX XML Cite \textit{Z. Yin} and \textit{Y. Li}, Chin. Ann. Math., Ser. B 16, No. 4, 499--508 (1995; Zbl 0851.90111)
Zalmai, G. J. Proper efficiency and duality for a class of multiobjective fractional variational problems containing arbitrary norms. (English) Zbl 0818.90135 Optimization 29, No. 4, 333-347 (1994). MSC: 90C48 90C29 90C32 49J40 PDF BibTeX XML Cite \textit{G. J. Zalmai}, Optimization 29, No. 4, 333--347 (1994; Zbl 0818.90135) Full Text: DOI
Bhatia, D.; Jain, P. Generalized \((F,\rho)\)-convexity and duality for nonsmooth multi- objective programs. (English) Zbl 0819.90082 Optimization 31, No. 2, 153-164 (1994). MSC: 90C29 26B25 49J52 PDF BibTeX XML Cite \textit{D. Bhatia} and \textit{P. Jain}, Optimization 31, No. 2, 153--164 (1994; Zbl 0819.90082) Full Text: DOI
Jourani, Abderrahim Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems. (English) Zbl 0808.49018 Math. Program. 66, No. 1 (A), 1-23 (1994). MSC: 49J52 90C29 90C48 PDF BibTeX XML Cite \textit{A. Jourani}, Math. Program. 66, No. 1 (A), 1--23 (1994; Zbl 0808.49018) Full Text: DOI
White, D. J. Extension of the Frank-Wolfe algorithm to concave nondifferentiable objective functions. (English) Zbl 0792.90077 J. Optimization Theory Appl. 78, No. 2, 283-301 (1993). MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{D. J. White}, J. Optim. Theory Appl. 78, No. 2, 283--301 (1993; Zbl 0792.90077) Full Text: DOI
Elster, Karl-Heinz (ed.) Modern mathematical methods of optimization. (English) Zbl 0793.90071 Mathematical Topics. 1. Berlin: Akademie Verlag. 415 p. (1993). Reviewer: J.-E.Martínez-Legaz (Barcelona) MSC: 90C30 90-02 90C25 49-02 49J52 90C29 90C10 90C05 PDF BibTeX XML Cite \textit{K.-H. Elster} (ed.), Modern mathematical methods of optimization. Berlin: Akademie Verlag (1993; Zbl 0793.90071)
Tu, Renjin; Zheng, Quan Integral global optimization method in statistical applications. (English) Zbl 0779.90073 Comput. Math. Appl. 25, No. 10-11, 9-17 (1993). MSC: 90C30 90-08 65C99 49M37 PDF BibTeX XML Cite \textit{R. Tu} and \textit{Q. Zheng}, Comput. Math. Appl. 25, No. 10--11, 9--17 (1993; Zbl 0779.90073) Full Text: DOI
Martínez-Legaz, J.-E.; Singer, Ivan Some characterizations of surrogate dual problems. (English) Zbl 0817.90112 Optimization 24, No. 1-2, 1-11 (1992). MSC: 90C30 49N15 49J52 PDF BibTeX XML Cite \textit{J. E. Martínez-Legaz} and \textit{I. Singer}, Optimization 24, No. 1--2, 1--11 (1992; Zbl 0817.90112) Full Text: DOI
Ishizuka, Y. Optimality conditions for directionally differentiable multi-objective programming problems. (English) Zbl 0793.90065 J. Optimization Theory Appl. 72, No. 1, 91-111 (1992). MSC: 90C29 49J52 PDF BibTeX XML Cite \textit{Y. Ishizuka}, J. Optim. Theory Appl. 72, No. 1, 91--111 (1992; Zbl 0793.90065) Full Text: DOI