Ersan, SibelCakalli, H; Kocinac, LDR; Harte, R; Cao, J; Savas, E; Ersan, S; Yildiz, S2024-07-122024-07-122019978-0-7354-1816-50094-243X10.1063/1.50950982-s2.0-85064406453https://dx.doi.org/10.1063/1.5095098https://hdl.handle.net/20.500.12415/8804International Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul, TURKEYA sequence (x(k)) of points in a subset E of a 2-normed space X is called strongly lacunary delta-quasi-Cauchy, or N-theta-delta-quasi-Cauchy if (Delta x(k)) is N-theta-convergent to 0, that is lim(r ->infinity) 1/h(r) Sigma(k is an element of Ir) parallel to Delta(2)x(k), Z parallel to = 0 for every fixed z is an element of X. A function defined II on a subset E of X is called strongly lacunary delta-ward continuous if it preserves N-theta-delta-quasi-Cauchy sequences, i.e. (f(x(k))) is an N-theta-delta-quasi-Cauchy sequence whenever (x(k)) is. In this study we obtain some theorems related to strongly lacunary delta-quasi-Cauchy sequences.eninfo:eu-repo/semantics/openAccessStrongly lacunary ward continuityquasi-Cauchy sequencescontinuity2-normed spaceConference ObjectN/A2086WOS:000472950300018N/A