Sönmez, AyşeCakalli, Hüseyin2024-07-122024-07-122019978-0-7354-1930-80094-243X10.1063/1.51361362-s2.0-85076672589https://doi.org/10.1063/1.5136136https://hdl.handle.net/20.500.12415/73713rd International Conference of Mathematical Sciences (ICMS) -- SEP 04-08, 2019 -- Maltepe Univ, Istanbul, TURKEYIn this extended abstract, we introduce a concept of statistically quasi-Cauchyness of a sequence in X in the sense that a sequence (x(k)) is statistically quasi -Cauchy in X if lim(n ->infinity) 1/n vertical bar{k <= n : d(x(k+1), x(k)) - c is an element of P}vertical bar for each c is an element of P where (X, d) is a cone metric space, and p denotes interior of a cone P of X. It turns out that a function f from a totally bounded subset A of X into X is uniformly continuous if f preserves statistically quasi-Cauchy sequences.eninfo:eu-repo/semantics/openAccessSequencesSeriesCone MetricCompactnessContinuityConference ObjectN/A2183WOS:000505225800035N/A