The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functi...The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.展开更多
In this paper, two duality results are established under generalized ρ-convexity conditions for a class of multiobjective fractional programmign involvign differentiable n-sten functions.
基金Supported by the National Natural Science Foundation of China（11074099）
文摘The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functions are studied. Furthermore, the notion of E-epigraphs is generalized to geodesic E-epigraphs and a characterization of geodesic E-quasiconvex functions in terms of its geodesic E-epigraphs is considered.
基金Supportecl in part by SF for Pure Research of Natural Sciences of the Education Department of Hunan Province （No.2004c251）, Natural Science Foundation of Hunan Province （No.05JJ30006） and National Natural Science Foundation of China （No.10471063） and specialized Research Fund for Doctoral Program of Higher Education of China.
文摘为海森堡组，我们介绍 h-quasiconvexfunctions 的概念。我们证明 h-quasiconvex 功能和 h 凸的集合的观点是相等的并且 h-quasiconvex 功能局部地从上面被围住，并且而且导出那 h-convexfunctions 局部地被围住，因此它是局部地由由 Danielli-Garofalo-Nhieu 使用最近的结果连续的 Lipschitz。最后，我们给第一衍生物 ofh-quasiconvex 功能的 L ∞标准的估计。
文摘In this paper, two duality results are established under generalized ρ-convexity conditions for a class of multiobjective fractional programmign involvign differentiable n-sten functions.
