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Beyond Cauchy and Quasi-Cauchy Sequences
(UNIV NIS, FAC SCI MATH, 2018)
In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward quasi-Cauchy ...
On downward half Cauchy sequences
(Elsevier B.V., 2018)
In this paper, we introduce and investigate the concepts of down continuity and down compactness. A real valued function f on a subset E of R, the set of real numbers is down continuous if it preserves downward half Cauchy ...