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Now showing items 1-7 of 7

#### Ward Continuity in 2-Normed Spaces

(UNIV NIS, FAC SCI MATH, 2015)

In this paper, we introduce and investigate the concept of ward continuity in 2-normed spaces. A function f defined on a 2-normed space (X, parallel to., .parallel to) is ward continuous if it preserves quasi-Cauchy ...

#### 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 ...

#### Variations on rho statistical quasi cauchy sequences

(AMER INST PHYSICS, 2019)

A sequence (alpha(k)) of points in R, the set of real numbers, is called rho-statistically p quasi Cauchy if lim(n ->infinity )1/rho(n) vertical bar{k <= n : vertical bar Delta(p)alpha(k)vertical bar >= epsilon}vertical ...

#### On variations on quasi Cauchy sequences in metric spaces

(AMER INST PHYSICS, 2019)

For a fixed positive integer p. a sequence (x(n)) in a metric space X is called p-quasi-Cauchy if (Delta(p)x(n)) is a null sequence where Delta(p)x(n) = d(x(n+p), x(n)) for each positive integer n. A subset E of X is called ...

#### Variations on Quasi-Cauchy Sequences

(UNIV NIS, FAC SCI MATH, 2015)

In this paper, we introduce and study new kinds of continuities. It turns out that a function f defined on an interval is uniformly continuous if and only if there exists a positive integer p such that f preserves ...

#### Abel statistical delta quasi Cauchy sequences

(AMER INST PHYSICS, 2019)

In this paper, we investigate the concept of Abel statistical delta quasi Cauchy sequences. A real function! is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, ...