Cakalli, HuseyinKaplan, Huseyin2024-07-122024-07-1220131085-33751687-040910.1155/2013/8369702-s2.0-84876570361https://dx.doi.org/10.1155/2013/836970https://hdl.handle.net/20.500.12415/7692Recently, the concept of N-theta-ward continuity was introduced and studied. In this paper, we prove that the uniform limit of N-theta-ward continuous functions is N-theta-ward continuous, and the set of all N-theta-ward continuous functions is a closed subset of the set of all continuous functions. We also obtain that a real function f defined on an interval E is uniformly continuous if and only if (f (alpha(k))) is N-theta-quasi-Cauchy whenever (alpha(k)) is a quasi-Cauchy sequence of points in E.eninfo:eu-repo/semantics/openAccessArticleQ4WOS:000316882800001Q1