Filomat 2013 Volume 27, Issue 8, Pages: 1545-1549
https://doi.org/10.2298/FIL1308545C
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A variation on ward continuity
Çakallı Hüseyin (Maltepe University, Faculty of Arts and Science, Department of Mathematics, Istanbul, Turkey)
In this paper, we prove that any ideal ward continuous function is uniformly continuous either on an interval or on an ideal ward compact subset of R. A characterization of uniform continuity is also given via ideal quasi-Cauchy sequences.
Keywords: Ideal, continuity, summability, compactness