ON STATISTICAL BOUNDEDNESS IN PARTIAL METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 49

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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