2024-07-122024-07-122019Ersan, S. (2019). Variations on ward continuity in 2-normed spaces. Third International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-3.978-0-7354-1930-810.1063/1.51361422-s2.0-85076709791https://aip.scitation.org/doi/abs/10.1063/1.5136142https://doi.prg/10.1063/1.5136142https://hdl.handle.net/20.500.12415/2762In this paper, the concept of a quasi-Cauchy sequence is generalized to a concept of a p-quasi-Cauchy sequence for any fixed positive integer p in a 2-normed space X. Some interesting theorems related to p-ward continuity and uniform continuity are obtained. A sequence (xn) in a 2-normed space X is called p-quasi-Cauchy if limn?? ? xn+p – xn, z? = 0 for all z ? X. It turns out that if a function f defined on a subset of X is uniformly continuous, then f preserves p-quasi-Cauchy sequences for all positive integer p.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object31WOS:000505225800040N/A