$λ$-statistically quasi-Cauchy sequences

The main object of this paper is to investigate $λ$-statistically quasi-Cauchy sequences. A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is called $λ$-statistically ward continuous on $E$ if it preserves $λ$-statistically quasi-Cauchy sequences of points in $E$. It turns out that uniform continuity coincides with $λ$-statistically ward continuity on $λ$-statistically ward compact subsets.

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