ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 49
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.18
Author :
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)
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 convergence, partial metric space, statistical boundedness.
A.M.S. subject classification
46A45, 40A05, 40A35.
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