分式优化问题的近似Farkas引理和近似对偶理论

Approximate Farkas Lemma and Approximate Duality for Fractional Optimization Problems

利用共轭函数下端卷积性质和上图技巧,引入新的约束规范条件,建立了带锥约束的分式优化问题的近似Farkas引理和近似对偶理论,推广了前人的相关结论.

By using the infimal convolution of conjugate functions and the epigraph technique,we introduce some new constraint qualifications.Under those new constraint qualifications,approximate Farkas lemmas and approximate duality results of the fractional optimization problem with conic constraint are established,which extend the corresponding results in the previous papers.