Copyright © 2011 Saeed Sarabadan and Sorayya Talebi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces. We also define the notion of ℐ-equistatistically convergence and study ℐ-equi-statistically convergence of sequences of functions.