Sönmez, AyşeÇakallı, Hüseyin2024-07-122024-07-122019Sönmez, A. ve Çakallı, H. (2019). Statistical quasi Cauchy sequences in abstract metric spaces. International Conference of Mathematical Sciences (ICMS 2019). s. 34.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2196In this study, we introduce a concept of statistical quasi-Cauchyness of a sequences in a cone metric space in the sense that a sequence (xk) is statistically quasi-Cauchy if limn?? 1 n |{k ? n : d(xk+1, xk) ? c}| = 0 for each c ? P 0 . It turns out that a real valued function f is uniformly continuous either on a totally bounded subset of a cone metric space X or on a connected subset of X if f preserves statistical quasi-Cauchy sequencesenCC0 1.0 Universalinfo:eu-repo/semantics/openAccessStatistical boundednessStatistical convergenceLacunary sequenceArticle3434