29 research outputs found

    On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions

    Get PDF
    We introduce second order (C,α,ρ,d)(C,\alpha ,\rho ,d) type-I functions and formulate a second order dual model for a nondifferentiable minimax fractional programming problem. The usual duality relations are established under second order (F,α,ρ,d)/(C,α,ρ,d)(F,\alpha ,\rho ,d)/(C,\alpha ,\rho ,d) type-I assumptions. By citing a nontrivial example, it is shown that a second order (C,α,ρ,d)(C,\alpha ,\rho ,d) type-I function need not be (F,α,ρ,d)(F,\alpha ,\rho ,d) type-I. Several known results are obtained as special cases. References Ahmad, I., Husain, Z., Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity. J. Optimiz. Theory Appl. 129:255–275, 2006. doi:10.1007/s10957-006-9057-0 Ahmad, I., Husain, Z., Sharma, S., Second-order duality in nondifferentiable minmax programming involving type-I functions. J. Comput. Appl. Math. 215:91–102, 2008. doi:10.1016/j.cam.2007.03.022 Antczak, T., Generalized fractional minimax programming with BB-(p,r)(p, r)-invexity. Comput. Math. Appl. 56:1505–1525, 2008. doi:10.1016/j.camwa.2008.02.039 Chinchuluun, A., Yuan, D. H., Pardalos, P. M., Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity. Ann. Oper. Res. 154:133–147, 2007. doi:10.1007/s10479-007-0180-6 Du, D.-Z., Pardalos, P. M., Minimax and applications, Kluwer Academic Publishers, Dordrecht, 1995. http://vlsicad.eecs.umich.edu/BK/Slots/cache/www.wkap.nl/prod/b/0-7923-3615-1 Hachimi, M., Aghezzaf, B., Second order duality in multiobjective programming involving generalized type I functions. Numer. Funct. Anal. Optimiz. 25:725–736, 2005. doi:10.1081/NFA-200045804 Husain, Z., Ahmad, I., Sharma, S., Second order duality for minmax fractional programming. Optimiz. Lett. 3:277–286, 2009. doi:10.1007/s11590-008-0107-4 Hu, Q., Yang, G., Jian, J., On second order duality for minimax fractional programming. Nonlinear Anal. 12:3509–3514, 2011. doi:10.1016/j.nonrwa.2011.06.011 Lai, H. C., Lee, J. C., On duality theorems for a nondifferentiable minimax fractional programming. J. Comput. Appl. Math. 146:115–126, 2002. doi:10.1016/S0377-0427(02)00422-3 Lai, H. C., Liu, J. C., Tanaka, K., Necessary and sufficient conditions for minimax fractional programming. J. Math. Anal. Appl. 230:311–328, 1999. doi:10.1006/jmaa.1998.6204 Liu, J. C., Wu, C. S., On minimax fractional optimality conditions with invexity. J. Math. Anal. Appl. 219:21–35, 1998. doi:10.1006/jmaa.1997.5786 Long, X. J., Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with (C,α,ρ,d)(C,\alpha ,\rho ,d)-convexity. J. Optimiz. Theory Appl. 148:197–208, 2011. doi:10.1007/s10957-010-9740-z Schmitendorf, W. E., Necessary conditions and sufficient conditions for static minmax problems. J. Math. Anal. Appl. 57:683–693, 1977. doi:10.1016/0022-247X(77)90255-4 Sharma, S., Gulati, T. R., Second order duality in minmax fractional programming with generalized univexity. J. Glob. Optimiz. 52:161–169, 2012. doi:10.1007/s10898-011-9694-1 Yuan, D. H., Liu, X. L., Chinchuluun, A., Pardalos, P. M., Nondifferentiable minimax fractional programming problems with (C,α,ρ,d)(C,\alpha , \rho , d)-convexity. J. Optimiz. Theory Appl. 129:185–199, 2006. doi:10.1007/s10957-006-9052-

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    A Review: Crinum asiaticum

    No full text
    Crinum asiaticum (Amaryllidaceae) commonly known as Nagdovan in Gujarati is distributed throughout India. The plant is used traditionally in warm infestation. Medicinally, it has been proven to possess various pharmacological activities like antitumour, anti inflammatory, antimicrobial, antiemetic, antiuretic, haemogogue, and anthelmintic activities. Further, studies reveal the presence of various phytochemical constituents mainly phenolics, alkaloids and fatty acids. These studies reveals that Crinum asiaticum is a source of medicinally active compounds and having a various important pharmacological effects so this drug encourage finding its new therapeutic uses.Keywords: Amaryllidaceae, Antitumor, Crinum asiaticum, Nagdovan

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl

    Not Available

    No full text
    Not AvailableNot AvailableNot Availabl
    corecore