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  The boundness of the feasible set of a Semi-infinite Programming Problem guarantees, in many cases, the existence of an optimum point. Therefore we study such property in connection with the solution-set of a system of infinitely many constraints. Later on we give existence-theorems for an optimum point, involving the objective function in different ways such as: the generalized Lagrange-function; a specific cone of directions; a special dual problem; and, certain infinite systems associated to the problem.

Condiciones suficientes para la existencia de solucion optima en un programa semi-infinito