Necessary optimality conditions for DC infinite programs with inequality constraints

In this paper, we first recall the regularity conditions introduced by Sun in [X. K. Sun, J. Math. Anal. Appl., 414 (2014), 590-611]. Then, by using these regularity conditions, we obtain some necessary optimality conditions for ε -optimal solution and exact optimal solution of a DC infinite programming problem with inequality constraints. Moreover, we also apply the obtained results to conic programming problems.