Cakalli, Huseyin2024-07-122024-07-1220160354-518010.2298/FIL1603603C2-s2.0-84965098766https://dx.doi.org/10.2298/FIL1603603Chttps://hdl.handle.net/20.500.12415/79862nd International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- JUN 03-06, 2015 -- Istanbul Commerce Univ, Fac Arts & Sci, Istanbul, TURKEYA sequence (x(n)) of points in a topological vector space valued cone metric space (X, rho) is called p-quasi-Cauchy if for each c is an element of (K) over circle there exists an n(0) is an element of N such that rho(x(n+p), x(n)) - c is an element of (K) over circle for n >= n(0), where K is a proper, closed and convex pointed cone in a topological vector space Upsilon with (K) over circle not equal empty set. We investigate p-ward continuity in topological vector space valued cone metric spaces. It turns out that p-ward continuity coincides with uniform continuity not only on a totally bounded subset but also on a connected subset of X.eninfo:eu-repo/semantics/closedAccessMetric spacesmetrizabilitysummabilityconvergencecontinuitycone metrictotal boundednessArticle6103Q360330WOS:000376574100011Q2