Ersan, Sibel2024-07-122024-07-122019Ersan, S. (2019). p-ward continuity in 2-normed spaces. International Conference of Mathematical Sciences (ICMS 2019). s. 86.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2104In 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 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-quasiCauchy if limn??xn+p ? xn, z= 0 for each 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 penCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSequencesSeriesSummabilityContinuityCompactness2-normed spacesArticle8686