On quasi Cauchy double sequences in metric spacesH. Çakalli, Ş. Yildiz YarA double sequence x ={xk,l} in a metric space X is quasi-Cauchy if given an ε > 0 there exists an N ∊ N such that d(xk,l, xk+1,l+1), d(xk,l, xk+1,l), d(xk,l, xk,l+1) < ε for k,l > N. We study continuity type properties of factorable double functions defined on a double subset E X E of X2 into X, and obtain interesting results related to compactness, uniform continuity, sequential continuity, continuity, and a newly introduced type of continuity of factorable double functions defined on a double subset E X E of X2 into X.Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(2) (2026), pp. 265-273 |