In this paper we have introduced the I-localized and the I^{∗}-localized sequences in metric spaces and investigate some basics properties of the I-localized sequences related with I-Cauchy sequences. Also we have obtained some necessary and sufficient conditions for the I-localized sequences to be an I-Cauchy sequences. It is also defined uniformly the I-localized sequences on metric spaces and its relation with I-Cauchy sequences has been  obtained

Gürdal, Mehmet