Abel statistical quasi Cauchy sequences in metric spaces

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2019

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Maltepe Üniversitesi

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Abstract

In this study, we investigate the concepts of Abel statistical convergence and Abel statistical quasi Cauchy sequences. A function f from a subset E of a metric space X into X is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchyness, where a sequence (xk) of point in E is called Abel statistically quasi Cauchy if limx?1?(1?x)?k:d(xk+1,xk)??xk=0 for every ? > 0. Some other types of continuities are also studied and interesting results are obtained.

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Third International Conference of Mathematical Sciences

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Çakallı, H. (2019). Abel statistical quasi Cauchy sequences in metric spaces. Third International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.