Delta quasi Cauchy sequences in metric spaces
Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi
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CitationÇakallı, H. (2021). Delta quasi Cauchy sequences in metric spaces. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.
t. 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 δ-quasi Cauchy sequences, namely δ-ward compactness is also introduced, and some theorems related to δ-ward continuity and δ-ward compactness are obtained. Some other types of continuities are also discussed, and interesting results are obtained.
SourceFourth International Conference of Mathematical Sciences
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