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Now showing items 11-18 of 18

#### 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), ...

#### Slowly oscillating continuity in abstract metric spaces

(UNIV NIS, FAC SCI MATH, 2013)

In this paper, we investigate slowly oscillating continuity in cone metric spaces. It turns out that the set of slowly oscillating continuous functions is equal to the set of uniformly continuous functions on a slowly ...

#### 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 ...

#### G-Connectedness in Topological Groups with Operations

(UNIV NIS, FAC SCI MATH, 2018)

It is a well known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by lim from the set of all convergent sequences in X to X. This notion has been modified ...

#### 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, ...

#### Ideal quasi-Cauchy sequences

(SPRINGER INTERNATIONAL PUBLISHING AG, 2012)

An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (x(n)) of real numbers is said to be I-convergent to a real number L if for each ...

#### FORWARD CONTINUITY

(EUDOXUS PRESS, LLC, 2011)

A real function f is continuous if and only if (f(x(n))) is a convergent sequence whenever (x(n)) is convergent and a subset E of R is compact if any sequence x = (x(n)) of points in E has a convergent subsequence whose ...