Some further results on I-Cauchy sequences and condition (AP)
In this paper we provide answers to two important questions regarding I and I*-Cauchy sequences introduced and studied by Nabiev et al. (2007)[9] which were left unanswered. We then introduce the ideas of I and I*-divergent sequences in a metric space and study their certain properties. Our investigation strengthens and reconfirms importance of condition (AP) in the study of summability through ideals. (C) 2010 Elsevier Ltd. All rights reserved.
i-cauchy condition (ap) i*-cauchy i*-divergence ideals i-divergence