Dubey, Ramu; Mishra, Vishnu Narayan Unified-type nondifferentiable second-order symmetric duality results over arbitrary cones. (English) Zbl 1455.90149 Dutta, Hemen (ed.), Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press (ISBN 978-0-367-53266-6/hbk; 978-1-003-08119-7/ebook). Mathematics and its Applications: Modelling, Engineering, and Social Sciences, 299-320 (2021). MSC: 90C46 90C29 PDF BibTeX XML Cite \textit{R. Dubey} and \textit{V. N. Mishra}, in: Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press. 299--320 (2021; Zbl 1455.90149) Full Text: DOI
Dubey, Ramu; Kumar, Arvind; Ali, Rifaqat; Mishra, Lakshmi Narayan New class of \(G\)-Wolfe-type symmetric duality model and duality relations under \(G_f\)-bonvexity over arbitrary cones. (English) Zbl 1503.90155 J. Inequal. Appl. 2020, Paper No. 30, 16 p. (2020). MSC: 90C46 90C26 90C29 90C32 90C30 PDF BibTeX XML Cite \textit{R. Dubey} et al., J. Inequal. Appl. 2020, Paper No. 30, 16 p. (2020; Zbl 1503.90155) Full Text: DOI
Dubey, Ramu; Mishra, Vishnu Narayan; Tomar, Puneet Duality relations for second-order programming problem under \((G, \alpha_f)\)-bonvexity assumptions. (English) Zbl 1448.90079 Asian-Eur. J. Math. 13, No. 2, Article ID 2050044, 17 p. (2020). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C26 90C30 90C32 90C46 PDF BibTeX XML Cite \textit{R. Dubey} et al., Asian-Eur. J. Math. 13, No. 2, Article ID 2050044, 17 p. (2020; Zbl 1448.90079) Full Text: DOI
Sachdev, Geeta; Verma, Khushboo; Gulati, T. R. Second-order symmetric duality in multiobjective variational problems. (English) Zbl 1474.90509 Yugosl. J. Oper. Res. 29, No. 3, 295-308 (2019). MSC: 90C46 49N15 49M29 PDF BibTeX XML Cite \textit{G. Sachdev} et al., Yugosl. J. Oper. Res. 29, No. 3, 295--308 (2019; Zbl 1474.90509) Full Text: DOI
Dubey, Ramu Symmetric duality results for second-order nondifferentiable multiobjective programming problem. (English) Zbl 1423.90199 RAIRO, Oper. Res. 53, No. 2, 539-558 (2019). MSC: 90C26 90C32 90C46 PDF BibTeX XML Cite \textit{R. Dubey}, RAIRO, Oper. Res. 53, No. 2, 539--558 (2019; Zbl 1423.90199) Full Text: DOI
Huang, Tone-Yau Second order duality for a non-differentiable minimax complex programming with generalized \(\Theta \)-bonvexity. (English) Zbl 1451.90168 J. Nonlinear Convex Anal. 19, No. 9, 1547-1553 (2018). MSC: 90C46 90C47 PDF BibTeX XML Cite \textit{T.-Y. Huang}, J. Nonlinear Convex Anal. 19, No. 9, 1547--1553 (2018; Zbl 1451.90168) Full Text: Link
Huang, Tone-Yau Second-order duality for a non-differentiable minimax programming in complex spaces. (English) Zbl 1393.90130 Int. J. Comput. Math. 94, No. 12, 2508-2519 (2017). MSC: 90C46 90C47 PDF BibTeX XML Cite \textit{T.-Y. Huang}, Int. J. Comput. Math. 94, No. 12, 2508--2519 (2017; Zbl 1393.90130) Full Text: DOI
Gupta, S. K.; Dubey, Ramu; Debnath, Indira P. Second-order multiobjective programming problems and symmetric duality relations with \(G_{f}\)-bonvexity. (English) Zbl 1375.90272 Opsearch 54, No. 2, 365-387 (2017). MSC: 90C29 90C26 90C30 90C32 90C46 PDF BibTeX XML Cite \textit{S. K. Gupta} et al., Opsearch 54, No. 2, 365--387 (2017; Zbl 1375.90272) Full Text: DOI
Ahmad, Izhar; Singh, Deepak; Dar, Bilal Ahmad; Al-Homidan, S. On interval-valued functions and Mangasarian type duality involving Hukuhara derivative. (English) Zbl 1333.90091 J. Comput. Anal. Appl. 21, No. 5, 881-896 (2016). MSC: 90C25 90C29 90C30 PDF BibTeX XML Cite \textit{I. Ahmad} et al., J. Comput. Anal. Appl. 21, No. 5, 881--896 (2016; Zbl 1333.90091)
Gulati, Tilak Raj; Mehndiratta, Geeta Second-order symmetric duality in multiobjective programming over cones. (English) Zbl 1332.90336 J. Korean Math. Soc. 53, No. 1, 19-25 (2016). MSC: 90C46 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{G. Mehndiratta}, J. Korean Math. Soc. 53, No. 1, 19--25 (2016; Zbl 1332.90336) Full Text: DOI Link
Gulati, T. R.; Sachdev, Geeta; Verma, Khushboo Second-order symmetric duality in non-differentiable multiobjective programming over cones. (English) Zbl 1390.90493 Int. J. Math. Oper. Res. 7, No. 4, 415-427 (2015). MSC: 90C29 90C30 90C46 PDF BibTeX XML Cite \textit{T. R. Gulati} et al., Int. J. Math. Oper. Res. 7, No. 4, 415--427 (2015; Zbl 1390.90493) Full Text: DOI
Kailey, N.; Gupta, S. K. Duality for mixed second-order programs with multiple arguments. (English) Zbl 1474.90403 Filomat 28, No. 2, 397-410 (2014). MSC: 90C29 90C30 90C46 49N15 PDF BibTeX XML Cite \textit{N. Kailey} and \textit{S. K. Gupta}, Filomat 28, No. 2, 397--410 (2014; Zbl 1474.90403) Full Text: DOI
Jayswal, Anurag; Stancu-Minasian, Ioan M.; Prasad, Ashish K. Wolfe-type second-order fractional symmetric duality. (English) Zbl 1308.90161 J. Appl. Anal. 20, No. 2, 155-165 (2014). MSC: 90C29 90C30 90C32 90C46 PDF BibTeX XML Cite \textit{A. Jayswal} et al., J. Appl. Anal. 20, No. 2, 155--165 (2014; Zbl 1308.90161) Full Text: DOI
Gupta, S. K.; Dangar, D. On second-order duality for nondifferentiable minimax fractional programming. (English) Zbl 1291.90256 J. Comput. Appl. Math. 255, 878-886 (2014). MSC: 90C32 90C47 49J35 PDF BibTeX XML Cite \textit{S. K. Gupta} and \textit{D. Dangar}, J. Comput. Appl. Math. 255, 878--886 (2014; Zbl 1291.90256) Full Text: DOI
Gupta, S. K.; Kailey, N. Second-order multiobjective symmetric duality involving cone-bonvex functions. (English) Zbl 1283.90037 J. Glob. Optim. 55, No. 1, 125-140 (2013). MSC: 90C29 90C46 PDF BibTeX XML Cite \textit{S. K. Gupta} and \textit{N. Kailey}, J. Glob. Optim. 55, No. 1, 125--140 (2013; Zbl 1283.90037) Full Text: DOI
Gupta, S. K.; Dangar, D. Duality for second-order symmetric multiobjective programming with cone constraints. (English) Zbl 1390.90566 Int. J. Math. Oper. Res. 4, No. 2, 128-151 (2012). MSC: 90C46 90C29 PDF BibTeX XML Cite \textit{S. K. Gupta} and \textit{D. Dangar}, Int. J. Math. Oper. Res. 4, No. 2, 128--151 (2012; Zbl 1390.90566) Full Text: DOI
Hu, Qingjie; Yang, Gang; Chen, Yu; Jian, Jinbao Mixed type second-order symmetric duality for nonlinear programming problems involving \(\eta\)-bonvex functions. (English) Zbl 1258.49057 J. Comput. Anal. Appl. 14, No. 2, 283-289 (2012). MSC: 49N15 90C30 PDF BibTeX XML Cite \textit{Q. Hu} et al., J. Comput. Anal. Appl. 14, No. 2, 283--289 (2012; Zbl 1258.49057)
Hu, Qingjie; Chen, Yu; Jian, Jinbao Second-order duality for non-differentiable minimax fractional programming. (English) Zbl 1270.90111 Int. J. Comput. Math. 89, No. 1, 11-16 (2012). MSC: 90C70 90C47 90C30 49N15 PDF BibTeX XML Cite \textit{Q. Hu} et al., Int. J. Comput. Math. 89, No. 1, 11--16 (2012; Zbl 1270.90111) Full Text: DOI
Hu, Qingjie; Yang, Gang; Jian, Jinbao On second order duality for minimax fractional programming. (English) Zbl 1231.90378 Nonlinear Anal., Real World Appl. 12, No. 6, 3509-3514 (2011). MSC: 90C47 90C32 90C46 PDF BibTeX XML Cite \textit{Q. Hu} et al., Nonlinear Anal., Real World Appl. 12, No. 6, 3509--3514 (2011; Zbl 1231.90378) Full Text: DOI
Gulati, Tilak Raj; Gupta, Shiv Kumar Nondifferentiable second-order minimax mixed integer symmetric duality. (English) Zbl 1205.90293 J. Korean Math. Soc. 48, No. 1, 13-21 (2011). MSC: 90C47 90C11 90C30 90C25 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{S. K. Gupta}, J. Korean Math. Soc. 48, No. 1, 13--21 (2011; Zbl 1205.90293) Full Text: DOI
Gulati, T. R.; Saini, Himani; Gupta, S. K. Second-order multiobjective symmetric duality with cone constraints. (English) Zbl 1188.90238 Eur. J. Oper. Res. 205, No. 2, 247-252 (2010). MSC: 90C29 PDF BibTeX XML Cite \textit{T. R. Gulati} et al., Eur. J. Oper. Res. 205, No. 2, 247--252 (2010; Zbl 1188.90238) Full Text: DOI
Gulati, T. R.; Mehndiratta, Geeta Nondifferentiable multiobjective Mond-Weir type second-order symmetric duality over cones. (English) Zbl 1220.90160 Optim. Lett. 4, No. 2, 293-309 (2010). MSC: 90C46 90C29 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{G. Mehndiratta}, Optim. Lett. 4, No. 2, 293--309 (2010; Zbl 1220.90160) Full Text: DOI
Husain, Z.; Ahmad, I.; Sharma, Sarita Second order duality for minmax fractional programming. (English) Zbl 1189.90190 Optim. Lett. 3, No. 2, 277-286 (2009). MSC: 90C47 90C32 90C46 PDF BibTeX XML Cite \textit{Z. Husain} et al., Optim. Lett. 3, No. 2, 277--286 (2009; Zbl 1189.90190) Full Text: DOI
Ahmad, I.; Sharma, Sarita Second-order duality for nondifferentiable multiobjective programming problems. (English) Zbl 1133.90391 Numer. Funct. Anal. Optimization 28, No. 9-10, 975-988 (2007). MSC: 90C29 90C30 90C46 PDF BibTeX XML Cite \textit{I. Ahmad} and \textit{S. Sharma}, Numer. Funct. Anal. Optim. 28, No. 9--10, 975--988 (2007; Zbl 1133.90391) Full Text: DOI
Gulati, T. R.; Gupta, S. K. Second-order symmetric duality for minimax mixed integer programs over cones. (English) Zbl 1192.90130 Int. J. Oper. Res., Taichung 4, No. 3, 181-188 (2007). MSC: 90C11 90C46 90C47 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{S. K. Gupta}, Int. J. Oper. Res., Taichung 4, No. 3, 181--188 (2007; Zbl 1192.90130)
Gulati, T. R.; Gupta, Shiv Kumar Wolfe type second-order symmetric duality in nondifferentiable programming. (English) Zbl 1079.90148 J. Math. Anal. Appl. 310, No. 1, 247-253 (2005). MSC: 90C46 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{S. K. Gupta}, J. Math. Anal. Appl. 310, No. 1, 247--253 (2005; Zbl 1079.90148) Full Text: DOI
Ahmad, I.; Husain, Z. On nondifferentiable second order symmetric duality in mathematical programming. (English) Zbl 1070.90105 Indian J. Pure Appl. Math. 35, No. 5, 665-676 (2004). Reviewer: Efstratios Rappos (London) MSC: 90C46 90C30 90C47 90C11 PDF BibTeX XML Cite \textit{I. Ahmad} and \textit{Z. Husain}, Indian J. Pure Appl. Math. 35, No. 5, 665--676 (2004; Zbl 1070.90105)
Gulati, T. R.; Ahmad, Izhar Second order symmetric duality for nonlinear minimax mixed integer programs. (English) Zbl 0916.90210 Eur. J. Oper. Res. 101, No. 1, 122-129 (1997). MSC: 90C11 PDF BibTeX XML Cite \textit{T. R. Gulati} and \textit{I. Ahmad}, Eur. J. Oper. Res. 101, No. 1, 122--129 (1997; Zbl 0916.90210) Full Text: DOI
Pandey, Shashi Duality for multiobjective fractional programming involving generalized \(\eta\)-bonvex functions. (English) Zbl 0737.90067 Opsearch 28, No. 1, 36-43 (1991). Reviewer: I.M.Stancu-Minasian (Bucureşti) MSC: 90C32 90C29 49N15 26B25 PDF BibTeX XML Cite \textit{S. Pandey}, Opsearch 28, No. 1, 36--43 (1991; Zbl 0737.90067)
Zălinescu, Constantin On some types of second order convexity. (English) Zbl 0715.26005 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 35, No. 3, 213-220 (1989). Reviewer: W.W.Breckner MSC: 26B25 90C30 PDF BibTeX XML Cite \textit{C. Zălinescu}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 35, No. 3, 213--220 (1989; Zbl 0715.26005)
Bector, C. R.; Chandra, S. (Generalized) bonvexity and higher order duality for fractional programming. (English) Zbl 0638.90095 Opsearch 24, 143-154 (1987). MSC: 90C32 49N15 26B25 PDF BibTeX XML Cite \textit{C. R. Bector} and \textit{S. Chandra}, Opsearch 24, 143--154 (1987; Zbl 0638.90095)
Bector, C. R.; Chandra, S.; Husain, I. Second order duality in continuous-time nonlinear programming. (English) Zbl 0625.49006 Numerical mathematics and computing, Proc. 16th Conf., Winnipeg/Manit. 1986, Congr. Numerantium 56, 121-134 (1987). Reviewer: C.Ursescu MSC: 49N15 26B25 90C30 PDF BibTeX XML
Bector, C. R.; Chandra, S. Second order duality for generalized fractional programming. (English) Zbl 0604.90125 Methods Oper. Res. 56, 11-28 (1986). Reviewer: F.Turnovec MSC: 90C32 26B25 90C30 PDF BibTeX XML Cite \textit{C. R. Bector} and \textit{S. Chandra}, Methods Oper. Res. 56, 11--28 (1986; Zbl 0604.90125)
Bector, C. R.; Chandra, S. Second order symmetric and self dual programs. (English) Zbl 0604.90117 Opsearch 23, 89-95 (1986). Reviewer: V.Dumitru MSC: 90C30 26B25 PDF BibTeX XML Cite \textit{C. R. Bector} and \textit{S. Chandra}, Opsearch 23, 89--95 (1986; Zbl 0604.90117)