广义分式规划的对偶性

Duality of generalized fractional programming

利用B-(p,r)不变凸函数和非光滑分析,定义一类新的广义不变凸函数,研究涉及此类函数的极大极小分式规划问题,得到弱对偶定理和严格逆对偶定理,并在更弱的凸性下,得到几个重要的对偶性结果.

By B-（ p, r） invex function and nonsmooth analysis,a class of new invex functions were defined,minimax fractional programming problem involving this kind of function was researched,weak dual theorm and strictly converse dual theorm were obtained,several important duality theorms were obtained under weaker convexity.