Cakalli, HuseyinErsan, Sibel2024-07-122024-07-1220150354-518010.2298/FIL1510257C2-s2.0-84949468566https://dx.doi.org/10.2298/FIL1510257Chttps://hdl.handle.net/20.500.12415/7994In this paper, we introduce lacunary statistical ward continuity in a 2-normed space. A function f defined on a subset E of a 2-normed space X is lacunary statistically ward continuous if it preserves lacunary statistically quasi-Cauchy sequences of points in E where a sequence (x(k)) of points in X is lacunary statistically quasi-Cauchy if lim(r ->infinity) 1/h(r) vertical bar{k is an element of I-r : parallel to x(k+1) - x(k), z parallel to >= epsilon}vertical bar = 0 for every positive real number epsilon and z 1/4 X, and (k(r)) is an increasing sequence of positive integers such that k(0) = 0 and h(r) = k(r) - k(r-1) -> infinity as r -> infinity, I-r = (k(r-1), k(r)]. We investigate not only lacunary statistical ward continuity, but also some other kinds of continuities in 2-normed spaces.eninfo:eu-repo/semantics/closedAccesslacunary statistical convergencequasi-Cauchy sequencescontinuityArticle226310Q3225729WOS:000366736800009Q3