摘要
The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly.
The definition of generalized unified （C,α, p, d）-convex function is given. The concepts of generalized unified （C, α, p, d）-quasiconvexity, generalized unified （C, α, p, d）- pseudoconvexity and generalized unified （C, α p, d）-strictly pseudoconvex functions are pre- sented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite pro- gramming are obtained involving these generalized convexity lastly.
基金
Supported by the Science Foundation of Shaanxi Provincial Educational Department Natural Science Foundation of China（06JK152）
Supported by the Graduate Innovation Project of Yanan uni- versity（YCX201003）
