ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES

Manoj Kumar; Ritu; Sandeep Gupta

doi:https://doi.org/10.56827/SEAJMMS.2024.2002.18

Manoj Kumar Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, INDIA

Ritu Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, INDIA

Sandeep Gupta Department of Mathematics, Arya P.G. College Panipat, Kurukshetra University, Kuruksheta, INDIA

Volume 20, Issue 2 Pages 235-246 August 30, 2024 192 downloads

Article overview

Abstract

Here in this paper, we have an idea of statistical boundedness for a partial metric space $(X,\varphi)$ where $\varphi$ is partial metric on $X$ and establish the relationship between statistical convergence and statistical boundedness. Besides this, statistical analogue of monotone convergence theorem of reals has been established.

Keywords and Phrases

Statistical convergencepartial metric spacestatistical boundedness.

AMS Subject Classification

46A45, 40A05, 40A35.

Reference information

How to Cite

Manoj Kumar, Ritu, Sandeep Gupta (2024). ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 235-246.

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