Two Constraint Qualifications for Non-Differentiable Semi-Infinite Programming Problems Using Fr´echet and Mordukhovich Subdifferentials

In this paper, we consider the semi-infinite programming problems with non-differentiable emerging functions. Firstly, we give a counterexample showing that Theorem 3.1 of Ref. [10] is not true. Then, by modifying the assumptions of this theorem, we establish a new necessary Theorem for optimal solution of the problem.