In this work,we established a converse duality theorem for higher-order Mond-Weir type multiobjective programming involving cones.This flls some gap in recently work of Kim et al.[Kim D S,Kang H S,Lee Y J,et al.Higher...In this work,we established a converse duality theorem for higher-order Mond-Weir type multiobjective programming involving cones.This flls some gap in recently work of Kim et al.[Kim D S,Kang H S,Lee Y J,et al.Higher order duality in multiobjective programming with cone constraints.Optimization,2010,59:29–43].展开更多
In this paper,we point out some deficiencies in a recent paper(Lee and Kim in J.Nonlinear Convex Anal.13:599–614,2012),and we establish strong duality and converse duality theorems for two types of nondifferentiable...In this paper,we point out some deficiencies in a recent paper(Lee and Kim in J.Nonlinear Convex Anal.13:599–614,2012),and we establish strong duality and converse duality theorems for two types of nondifferentiable higher-order symmetric duals multiobjective programming involving cones.展开更多
The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functi...The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functions. A pair of second order symmetric dual multiobjective nonlinear programs is formulated by using the considered functions. Furthermore, the weak, strong and converse duality theorems for this pair are established. Finally, a self duality theorem is given.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.10831009 and 11271391)the Natural Science Foundation of Chongqing(Grant No.CSTC2011BA0030)
文摘In this work,we established a converse duality theorem for higher-order Mond-Weir type multiobjective programming involving cones.This flls some gap in recently work of Kim et al.[Kim D S,Kang H S,Lee Y J,et al.Higher order duality in multiobjective programming with cone constraints.Optimization,2010,59:29–43].
基金This work was partially supported by the National Natural Science Foundation of China(Nos.11271391 and 10831009)d the Natural Science Foundation of Chongqing(CSTC,No.2011BA0030).
文摘In this paper,we point out some deficiencies in a recent paper(Lee and Kim in J.Nonlinear Convex Anal.13:599–614,2012),and we establish strong duality and converse duality theorems for two types of nondifferentiable higher-order symmetric duals multiobjective programming involving cones.
文摘The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functions. A pair of second order symmetric dual multiobjective nonlinear programs is formulated by using the considered functions. Furthermore, the weak, strong and converse duality theorems for this pair are established. Finally, a self duality theorem is given.
