With under the assumption that the function is not necessarily continuous,by using infimal convolution of conjugate functions, we give a new constraint qualification, and then the zero duality and the stable zero duality between robust conical optimization problem and its Fenchel-Lagrange dual problem are established.

%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2019.06.001