(F,b,α,ε)-G凸分式半无限规划问题的ε-最优性

ε-Optimality Conditions for A Class of Fractional Semi-Infinite Programming With(F,b,α,ε)-G convex Functions

引入(F,b,α,ε)-G凸函数、(F,b,α,ε)-G拟凸函数和(F,b,α,ε)-G伪凸函数等概念对已有凸函数进行了推广,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,得到了一些有意义的结果.

some classes of （F,b,α,ε） - G convex function, （F,b,α,ε） - G quasi function and （F,b,α,ε） - G pseudo function are defined. Based on the above, a class of fractional semi-infinite programming is considered, which is generalized the old convex functions. Then, a class of fractional semi-infinite programming involving these generalized convex functions is studied, some interesting ε - optimality conditions are obtained. The results obtained not only generalize some of the present researches, it is a kind of basis for the questions occur in resource allocation and portfolio selection etc, to theory, it is also a reference for the study of fractional programming.