Copyright © 2011 S. A. M. Mohsenalhosseini et al. This is an open access article distributed under the
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Let and be nonempty subsets of a metric space and also and , . We are going to consider element such that for some . We call pair an approximate best proximity pair. In this paper, definitions of approximate best proximity pair for a map and two maps, their diameters, -minimizing a sequence are given in a metric space.