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.
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.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2008年第3期305-309,共5页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(10171118)
重庆市教育厅科学技术研究基金(KJ051307
KJ041302)
关键词
多目标分式规划
B-(p
r)-不变凸函数
鞍点
最优性条件
multiobjective fractional programming
B- ( p, r )-invexity functions
saddle point
optimality conditions