(F,b,α,ε)-凸分式半无限规划ε-最优解的充分性

ON SUFFICIENT CONDITIONS OF ε-OPTIMALITY SOLUTIONS OF (F,b,α,ε)-CONVEX FRACTIONAL SEMI-INFINITE PROGRAMMING

首次引入了(F,b,α,ε)-凸函数、(F,b,α,ε)-拟凸函数和(F,b,α,ε)-伪凸函数等概念,对已有的凸函数进行了推广,并研究了涉及这类函数的一类分式半无限规划的ε-最优性条件,在较弱的条件下得到了一系列分式半无限规划的最优性结果.

Some classes of （F,b,α,ε）- convex function, （F,b,α,ε）-quasi function and （F,b,α,ε）- pseudo function are defined,which generalized the old convex functions. Then,a class of fractional semi-infinite programming involving these generalized convex functions are studied, some interesting ε-optimality conditions are obtained.