Statistical quasi Cauchyness in two normed spaces
Functional Analysis
2014-02-17 v1
Abstract
A function defined on a subset of a two normed space is statistically ward continuous if it preserves statistically quasi-Cauchy sequences of points in where a sequence is statistically quasi-Cauchy if is a statistically null sequence. A subset of is statistically ward compact if any sequence of points in has a statistically quasi-Cauchy subsequence. In this paper, new kinds of continuities are investigated in two normed spaces. It turns out that uniform limit of statistically ward continuous functions is again statistically ward continuous.
Keywords
Cite
@article{arxiv.1402.3291,
title = {Statistical quasi Cauchyness in two normed spaces},
author = {Huseyin Cakalli and Sibel Ersan},
journal= {arXiv preprint arXiv:1402.3291},
year = {2014}
}
Comments
11 pages