Topic
Cauchy sequence
About: Cauchy sequence is a research topic. Over the lifetime, 721 publications have been published within this topic receiving 7357 citations.
Papers published on a yearly basis
1 / 2
Papers
Journal Article•
TL;DR: In this paper, the concepts of statistically convergent and statis tically Cauchy sequences of fuzzy numbers have been introduced and discussed and also /(p)-spaces of sequences of fuzzy numbers have be introduced.
Abstract: In this paper, the concepts of statistically convergent and statis tically Cauchy sequences of fuzzy numbers have been introduced and discussed. Also /(p)-spaces of sequences of fuzzy numbers have been introduced.
217 citations
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TL;DR: A set X together with a metrid d is called a metric space as mentioned in this paper, and the same set X can give rise to many different metric spaces (X, d), as we’ll soon see.
Abstract: If X is a nonempty set, a distance, or metric, on X is a function d from pairs of elements (x, y) of X to the nonnegative real numbers such that
$$ \begin{gathered} d(x,\,y) = 0\,if\,and\,only\,if\,x = y. \hfill \\ \hfill \\ \end{gathered} $$
(1)
$$ d(x,\,y) = d(y,\,x). $$
(2)
$$ d(x,\,y)\, \leqslant \,d(x,\,z) + d(z,\,y)\,for\,all\,z\, \in \,X. $$
(3)
A set X together with a metrid d is called a metric space. The same set X can give rise to many different metric spaces (X, d), as we’ll soon see.
208 citations
TL;DR: The aim in this paper is to discuss the difference between two different type of Cauchy sequences used in the literature to prove fixed point theorems in fuzzy metric spaces.
152 citations
TL;DR: In this paper, coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces were proved for the first time, and the results were generalized to complete cone spaces.
Abstract: We prove some coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces.
122 citations
TL;DR: The author presents a treatment of quasi-Cauchy Sequences, a branch of mathematics that investigates the role of language in the evolution of sequences.
Abstract: (2010). Quasi-Cauchy Sequences. The American Mathematical Monthly: Vol. 117, No. 4, pp. 328-333.
111 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 4 |
| 2024 | 10 |
| 2023 | 22 |
| 2022 | 45 |
| 2021 | 43 |
| 2020 | 28 |