中文摘要：

B-（p,r）-不变凸函数是一类新的广义凸函数,它既是不变B-凸函数又是（p,r）-不变凸函数的推广形式,从而也是熟知的凸函数和不变凸函数的推广形式.首先介绍了一个广义Lagrange向量函数L（x,u）,并利用B-（p,r）-不变凸函数讨论了多目标分式规划问题的鞍点最优性条件,其结果具有一般性,推广了许多涉及不变凸函数、不变B-凸函数和（p,r）-不变凸函数的文献的结论.

英文摘要：

B-（ p, r）-invexity functions are new generalized invex functions. It is the generalization of the B- invexity functions and（p, r）-invexity functions, thus it is also the generalization of well known convexity functions and invexity functions. A vector valued Lagrangian L （ x, u ） is introduced firstly, and by using B- （ p, r）- invexity functions, the saddle point optimality conditions of a multiobjective fractional programming problem are established. The work generalizes many results on programming problems with invex functions, B-invexity functions and （p, r）-invexity functions.