B_ε-不变凸非光滑分式半无限规划的ε-最优性  

ε-Optimality Conditions for a Class of Nonsmooth Fractional Semi-Infinite Programming with B_ε-Invex Convex Functions

作　　者：罗勇[1] 

机构地区：[1]吉首大学师范学院,湖南吉首416000

出　　处：《湖北民族学院学报（自然科学版）》2011年第1期60-62,共3页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：引入非光滑的Bε-不变凸、Bε-不变拟凸和Bε-不变伪凸函数等概念,对"Bε-不变凸分式半无限规划的E-最优性"定义的相应可微不变凸函数概念进行了推广,然后在这些非光滑凸性条件下研究了一类非光滑分式半无限规划问题,获得了一些ε-最优性条件.推广了文"Bε-不变凸分式半无限规划的E-最优性"In this paper,some classes of nonsmooth Bε-invex convex,Bε-invex quasi convex and Bε-invex pseudo convex functions are defined,which generalize some of smooth invex convex functions for＂ε-optimality conditions for a class of fractional semi-infinite programming with Bε-invex convex func-tions＂.A class of nonsmooth fractional semi-infinite programming with these generalized invex convexfunctions is studied,and ε-optimality conditions are obtained.The results are generalized for＂ε-opti-mality conditions for a class of fractional semi-infinite programming with Bε-invex convex functions＂.

关 键 词：Bε-不变凸 Bε-不变拟凸 Bε-不变伪凸 ε-最优性 非光滑分式半无限规划 

分 类 号：O221.2[理学—运筹学与控制论]