摘要
为了丰富非光滑优化的理论,在一致(Fb,ρ)-凸、一致(Fb,ρ)-伪凸和一致(Fb,ρ)-拟凸等一类非光滑非凸函数的基础上,利用反证法,得到了涉及此类广义凸性的一类非光滑多目标半无限规划的一些Mond-Weir型对偶性结果.
To enrich the theory of nonsmooth programming,some Mond-Weir type duality results for a class of nonsmooth multi-objective semi-infinite programming involving those generalized convexity such as unifined (Fb,ρ)-convex,unifined(Fb,ρ)-pseudoconvex,unifined(Fb,ρ)-quasiconvex functions are obtained by using reduction to absurdity.
出处
《纺织高校基础科学学报》
CAS
2010年第2期160-164,169,共6页
Basic Sciences Journal of Textile Universities