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Now showing items 1-10 of 12

#### 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 ...

#### Upward and Downward Statistical Continuities

(UNIV NIS, FAC SCI MATH, 2015)

A real valued function f defined on a subset E of R, the set of real numbers, is statistically upward (resp. downward) continuous if it preserves statistically upward (resp. downward) half quasi-Cauchy sequences; A subset ...

#### A variation on ward continuity

(UNIV NIS, FAC SCI MATH, 2013)

In this paper, we prove that any ideal ward continuous function is uniformly continuous either on an interval or on an ideal ward compact subset of R. A characterization of uniform continuity is also given via ideal ...

#### A variation on N ? ward continuity

(Walter de Gruyter GmbH, 2018)

The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of sequences of real numbers. Strongly ideal lacunary ward continuity is also investigated. Interesting results are ...

#### 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 ...

#### On Variations of Quasi-Cauchy Sequences in Cone Metric Spaces

(UNIV NIS, FAC SCI MATH, 2016)

A sequence (x(n)) of points in a topological vector space valued cone metric space (X, rho) is called p-quasi-Cauchy if for each c is an element of (K) over circle there exists an n(0) is an element of N such that rho(x(n+p), ...

#### 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 ...