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Excerpt from A Stochastic Approach to Global Optimization, Vol. 5
Of course, this argument does not apply when one is satisfied with an approximation of the global minimum. In particular, for the case that a point within distance 6 from x* is sought, enumerative strategies exist that only require a finite number of function evaluations. These strategies, however, are of limited practical use. Thus, either a further restriction of the class of objective functions or a further relaxation of what is required Of an algorithm will be inevitable in what follows.
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