(E,F)凸集,(E,F)凸函数的一些新性质

Some new qualities of (E,F)-convex sets and (E,F)-convex functions

Bector,Singh等人在Euclid空间中通过放松凸集的定义给出了B—凸集的定义,而Jian对以上内容推广,引入了(E,F)-凸集和(E,F)-凸函数的概念,文献[1][2]对(E,F)-凸集,(E,F)-凸函数进行了大量的研究,并得到了相关的性质。在此基础上对(E,F)-凸集、(E,F)-凸函数做了进一步研究,得到了一些新的性质和结论。并对给出的结论进行了相应的证明。

Bector,Singh and other experts have got the definition of B-convex sets by relaxing the definition of convex sets.The definition of（E,F）-convex sets and（E,F）-convex functions have been introduced by Jian on the basis of B-convex sets.A large number of researches have been done inand have obtained some important qualities.（E,F）-convex sets and（E,F）-convex functions are studied furtherly and obtained some new qualities and proved the conclusion.