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Now showing items 1-10 of 14

#### 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 ...

#### N-alpha(beta)(theta, I)- Ward Continuity

(AMER INST PHYSICS, 2019)

The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (alpha, beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha, beta) is ...

#### ON CONNECTEDNESS VIA A SEQUENTIAL METHOD

(UNION MATEMATICA ARGENTINA, 2013)

Recently, the first author has introduced a concept of G-sequential connectedness in the sense that a non-empty subset A of a Hausdorff topological group X is G-sequentially connected if the only subsets of A which are ...

#### 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 ...

#### On Wijsman (f, I) -Lacunary Statistical Convergence of Order alpha

(AMER INST PHYSICS, 2019)

In this paper we introduce the concepts of Wijsman (f, I) -lacunary statistical convergence of order alpha and Wijsman strongly (f, I) -lacunary statistical convergence of order alpha, and investigated between their relationship.

#### 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 ...

#### A Variation on Absolutely Almost Convergence

(AMER INST PHYSICS, 2018)

In this paper, we give a generalization of absolutely almost convergence, and prove interesting results.

#### 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 ...

#### Sequential definitions of compactness

(PERGAMON-ELSEVIER SCIENCE LTD, 2008)

A subset F of a topological space is sequentially compact if any sequence x = (x(n)) of points in F has a convergent subsequence whose limit is in F. We say that a subset F of a topological group X is G-sequentially compact ...