I₂-CONVERGENCE AND I₂-CAUCHY DOUBLE SEQUENCES IN TOPOLOGICAL GROUPS
Let be a family of all subsets of N×N. Following the definition of ideal convergence in a metric space by Kostyrko et al. in 2000, ideal convergence for double sequences in a metric space was introduced by Das et al. (2008). In this paper, I inverstigate I₂-convergence and -convergence of double sequences in a topological space and establish some basic teorems. Furthermore we introduce of I₂-Cauchy and -Cauchy notions for double sequences in topological groups.
© 2011 Karaelmas Fen ve Mühendislik Dergisi