2024-07-122024-07-122021Çakallı, H. (2021). Delta quasi Cauchy sequences in metric spaces. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.978-0-7354-4078-410.1063/5.00421902-s2.0-85102318447https://aip.scitation.org/doi/10.1063/5.0042190https://doi.prg/10.1063/5.0042190https://hdl.handle.net/20.500.12415/1917t. In this extended abstract, we introduce the concept of delta quasi Cauchy sequences in metric spaces. A function f defined on a subset of a metric space X to X is called delta ward continuous if it preserves delta quasi Cauchy sequences, where a sequence (xk) of points in X is called delta quasi Cauchy if limn??[d(xk+2, xk+1)?d(xk+1, xk)] = 0. A new type compactness in terms of ?-quasi Cauchy sequences, namely ?-ward compactness is also introduced, and some theorems related to ?-ward continuity and ?-ward compactness are obtained. Some other types of continuities are also discussed, and interesting results are obtained.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessmetric spacescontinuitycompactnesssequencesConference Object41WOS:000664201400011N/A